ap gov and stat cram

What are key General Strategies for AP Statistics?

Be Specific: Use numerical values and context for clarity. Define and Show Work: Define variables and show calculations step-by-step. Read Carefully: Understand question requirements before answering. Check Your Answers: Review your solutions for errors.

What does the CUSS method stand for in descriptive statistics?

CUSS Method: Center, Unusual features, Spread, Shape.

What are the components of the SOCS method for analyzing data?

SOCS Method: Shape, Outliers, Center, Spread.

What are the steps in the DUFS method for describing scatterplots?

DUFS Method: Direction, Unusual features, Form, Strength.

What are the properties of a Binomial Distribution (BINS)?

B: Binary outcomes (success/failure), I: Independent trials, N: Fixed number of trials, S: Constant success probability.

What is the PANIC method for constructing confidence intervals?

PANIC: P (Parameter), A (Assumptions), N (Name the interval), I (Interval calculation), C (Conclusion).

What does the PHANTOMS method stand for in hypothesis testing?

PHANTOMS: P (Parameter), H (Hypotheses), A (Assumptions), N (Identify test), T (Test statistic), O (p-value), M (Decision), S (Conclusion in context).

What does the slope in regression analysis indicate?

Slope indicates how much y changes for each unit increase in x.

What does the Coefficient of Determination (R2) represent?

R2 indicates the percentage of variability in y explained by x.

What is a Type I Error in hypothesis testing?

Type I Error: Rejecting the null hypothesis (H0) when it is true.

What is a Type II Error in hypothesis testing?

Type II Error: Failing to reject the null hypothesis (H0) when the alternative hypothesis (Ha) is true.

What is the definition of Standard Deviation?

Standard Deviation (σ or s) measures the spread of data points around the mean.

What is the formula for calculating a Z-Score?

Z-Score is calculated as Z = (X - mean) / standard deviation.

What does Central Limit Theorem (CLT) state?

The Central Limit Theorem states that for large samples (n ≥ 30), the sampling distribution of the sample mean is approximately normally distributed.

What does the term 'outlier' refer to?

An outlier is a data point that markedly differs from the other observations in a dataset.

What does the term 'skewed right' indicate about data distribution?

A skewed right distribution has a longer tail on the right side, causing the mean to be greater than the median.

What does the term 'skewed left' indicate about data distribution?

A skewed left distribution has a longer tail on the left side, causing the mean to be less than the median.

What is the role of the mean in a symmetrical distribution?

In a symmetrical distribution, the mean is approximately equal to the median.

Define 'voluntary response bias.'

Voluntary response bias occurs when participants self-select into a survey or study, often leading to non-representative samples.

What are the main characteristics of a simple random sample (SRS)?

In a simple random sample, every individual in the population has an equal chance of being selected.

How do you determine the 'spread' of a dataset?

Spread can be measured using the range, interquartile range (IQR), or standard deviation.

What is the purpose of a boxplot?

A boxplot provides a visual summary of the data, showing the minimum, Q1, median, Q3, and maximum while identifying outliers.

How is a histogram used in statistics?

A histogram displays the frequency distribution of numerical data, helping to visualize the shape of the distribution.

What is the purpose of a scatterplot?

A scatterplot is used to visualize the relationship between two quantitative variables.

What does the term 'cumulative frequency' refer to?

Cumulative frequency is the total number of observations that fall below a particular value in a dataset.

What is the impact of increasing sample size on the power of a test?

Increasing sample size generally improves the power of a test, making it more likely to correctly reject a false null hypothesis.

What is a residual plot used for?

A residual plot is used to determine whether residuals exhibit any pattern, which may suggest the need for a different type of model.

What does 'strength' refer to when describing a relationship in regression?

Strength refers to how closely the points in a scatterplot follow a specific form, indicating the reliability of the association.

What are common types of graphs used to display categorical data?

Common graphs for categorical data include bar graphs, pie charts, and segmented bar graphs.

What is the notation for the population mean?

The population mean is denoted by the Greek letter mu (μ).

What is meant by 'normal distribution'?

A normal distribution is defined by its symmetrical bell shape, characterized by its mean and standard deviation.

Civil Rights Act of 1964

A comprehensive piece of legislation aimed at eradicating discrimination based on race, color, religion, sex, or national origin, marking a significant step toward achieving racial equality in the United States.

Voting Rights Act of 1965

A critical legislative measure designed to eliminate various discriminatory voting practices that disenfranchised African Americans and other minority groups, thereby securing their right to vote.

National Labor Relations Act (Wagner Act) of 1935

A crucial law that protects the rights of workers to organize unions and engage in collective bargaining, alongside establishing the National Labor Relations Board (NLRB) to oversee labor relations.

Social Security Act of 1935

An essential program created to provide financial assistance through retirement benefits, disability income, and unemployment insurance to ensure the economic security of the elderly and vulnerable populations.

Clean Air Act of 1970

A landmark federal law aimed at regulating air emissions from stationary and mobile sources to protect public health and the environment by reducing air pollution.

Americans with Disabilities Act (ADA) of 1990

A significant civil rights law that prohibits discrimination against individuals with disabilities in all areas of public life, ensuring equal opportunities in employment, transportation, public accommodations, and communication.

Immigration and Nationality Act of 1965

A pivotal law that reformed previous immigration policies by eliminating discriminatory quotas based on nationality and promoting family reunification and skilled immigration.

Affordable Care Act (Obamacare) of 2010

A comprehensive health care reform law designed to increase health insurance coverage, improve access to healthcare services, and reduce healthcare costs for individuals and the government.

Patriot Act of 2001

Legislation enacted to enhance national security and surveillance capabilities following the September 11 attacks, allowing for greater monitoring of communications and funding potentially associated with terrorism.

Federal Election Campaign Act (FECA) of 1971

A law that regulates campaign financing in federal elections by setting limits on campaign contributions and expenditures, while ensuring transparency through public disclosure of campaign donors.

Equal Employment Opportunity Commission (EEOC)

A federal agency established to enforce civil rights laws against workplace discrimination, overseeing complaints related to employment bias based on race, color, religion, sex, or national origin.

National Labor Relations Board (NLRB)

A federal agency created to oversee and enforce labor laws, resolving disputes between unions and employers while protecting the rights of workers to organize.

Environmental Protection Agency (EPA)

An independent agency of the U.S. government tasked with protecting human health and the environment by enforcing regulations based on laws passed by Congress.

Individual mandate (Affordable Care Act)

A provision requiring all individuals to have health insurance coverage or pay a penalty; this rule was repealed in 2019, removing the financial incentive for purchasing health insurance.

Sneak-and-peek warrants

Judicially authorized search warrants that allow law enforcement to conduct searches without immediate notification to the property owner, typically used in terrorism and drug investigations.

Federal Election Commission (FEC)

An independent regulatory agency responsible for enforcing federal campaign finance laws and overseeing the public funding of federal elections.

15th Amendment

An amendment to the U.S. Constitution that prohibits the federal and state governments from denying a citizen the right to vote based on 'race, color, or previous condition of servitude,' strengthened by the Voting Rights Act.

Payroll tax system

A taxation system used to fund Social Security and Medicare programs, typically involving deductions from workers' paychecks to finance these social insurance programs.

Discriminatory voter suppression practices

Methods aimed at restricting voter access, particularly for minority communities, which were outlawed under the provisions of the Voting Rights Act of 1965.

Systemic barriers to voting

Long-standing institutional practices and policies that hinder certain groups from voting, which were addressed and dismantled by the Voting Rights Act of 1965.

Retirement benefits

Financial payments provided to individuals who have retired, primarily from the Social Security program, ensuring a source of income during retirement.

Health insurance marketplaces

Platforms established under the Affordable Care Act where individuals and families can compare and purchase health insurance plans, facilitating access to affordable coverage.

Terrorism financing measures

Provisions and regulations put in place by the Patriot Act to prevent and combat the financing of terrorism, enhancing law enforcement's ability to track and disrupt financial flows related to terrorist activities.

Campaign contributions and expenditures

Financial donations made to political candidates, parties, or committees, which are regulated and capped by the Federal Election Campaign Act to promote transparency and fairness in campaign financing.

Public disclosure of campaign donations

A requirement under the Federal Election Campaign Act that mandates candidates and parties to publicly disclose their campaign contributions and expenditures, ensuring transparency in electoral financing.

McCulloch v. Maryland (1819)

This case set a precedent for a broad interpretation of federal powers, strengthening the national government over the states.

United States v. Lopez (1995)

This case marked the first time in decades that the Supreme Court limited Congress's power under the Commerce Clause.

Engel v. Vitale (1962)

The New York State Board of Regents authorized a voluntary, non-denominational prayer to be recited in public schools. The prayer was challenged by a group of parents, who argued that it violated the Establishment Clause of the First Amendment.

Wisconsin v. Yoder (1972)

The Court ruled 7-0 in favor of Yoder, finding Wisconsin’s law unconstitutional as applied to the Amish.

Tinker v. Des Moines Independent Community School District(1969)

During the Vietnam War, Mary Beth Tinker and other students wore black armbands to school to protest the war. The school suspended them, claiming that the armbands disrupted the learning environment. The students sued, arguing that their First Amendment rights had been violated.

New York Times Co. v. United States (1971)

The Nixon administration sought to prevent the New York Times and Washington Post from publishing the Pentagon Papers, a classified study detailing U.S. involvement in Vietnam, citing national security concerns.

Schenck v. United States (1919)

He was charged under the Espionage Act of 1917, which prohibited attempts to interfere with military operations, including the draft. He argued that the Act violated his First Amendment right to free speech.

Gideon v. Wainwright (1963)

Clarence Earl Gideon was charged with felony breaking and entering in Florida. He could not afford an attorney and requested a court-appointed lawyer.

Roe v. Wade (1973)

The Supreme Court held that a woman’s decision to have an abortion falls under the right to privacy protected by the Fourteenth Amendment (previously clarified in Griswold v. Connecticut).

McDonald v. Chicago (2010)

After the Supreme Court’s decision in District of Columbia v. Heller (2008), which struck down a federal handgun ban, McDonald and others challenged Chicago’s handgun ban, arguing it violated their Second Amendment rights.

Brown v. Board of Education (1954)

The case consolidated several lawsuits against public school segregation, primarily focusing on the experience of African American students who were denied admission to public schools due to state segregation laws.

Citizens United v. Federal Election Commission (2010)

In 2008, Citizens United, a nonprofit organization, created a documentary critical of Hillary Clinton during her presidential campaign.

Baker v. Carr (1962)

Tennessee's legislature had not reapportioned districts to account for significant population shifts, meaning that the weight of individual votes in rural districts was greater than in urban districts.

Shaw v. Reno (1993)

The plaintiffs, a group of white North Carolina residents, argued that the district was drawn in a strange, almost absurd shape with the primary purpose being racial gerrymandering, and that it violated the Equal Protection Clause of the Fourteenth Amendment.

Marbury v. Madison (1803)

In the final days of his presidency, John Adams appointed several judges under the Judiciary Act of 1801. When Thomas Jefferson took office, his Secretary of State, James Madison, refused to deliver the commissions. William Marbury, one of the appointees, petitioned the Supreme Court to compel Madison to deliver the commissions.

What freedoms are protected by the First Amendment?

Speech, religion, press, assembly, petition (RAPPS). Includes the Establishment Clause and Free Exercise Clause.

What right is guaranteed by the Second Amendment?

The right to bear arms

What does the Third Amendment prohibit?

The quartering of soldiers in private homes without permission during peacetime.

What protection does the Fourth Amendment provide?

No unreasonable searches or seizures; warrants are required.

Which rights are included in the Fifth Amendment?

No double jeopardy, no self-incrimination, due process rights, property rights.

What rights are guaranteed by the Sixth Amendment?

Rights of the accused: speedy trial, jury trial, right to an attorney.

What does the Seventh Amendment guarantee?

Trial by jury in civil cases.

What is prohibited by the Eighth Amendment?

Excessive bail and cruel or unusual punishment.

What does the Ninth Amendment state?

People retain rights not listed in the Constitution.

What does the Tenth Amendment address?

Powers not delegated to the federal government are reserved to the states or the people.

What is the Eleventh Amendment about?

Prevents lawsuits against states in federal court (ratified in 1798).

What did the Twelfth Amendment change?

Established separate electoral ballots for President and Vice President (ratified in 1804).

What is the Thirteenth Amendment known for?

Abolished slavery and involuntary servitude, except as punishment for a crime (ratified in 1865).

What rights are guaranteed by the Fourteenth Amendment?

Citizenship for all born or naturalized in the U.S., due process, and equal protection under the law (ratified in 1868).

What does the Fifteenth Amendment state?

Voting cannot be denied based on race, color, or previous condition of servitude (ratified in 1870).

What is the Sixteenth Amendment about?

Authorized a federal income tax (ratified in 1913).

What change was made by the Seventeenth Amendment?

Allowed for the direct election of U.S. Senators by citizens (ratified in 1913).

What was established by the Eighteenth Amendment?

Prohibition: banned the manufacture, sale, and transportation of alcohol (ratified in 1919).

What did the Nineteenth Amendment achieve?

Granted women the right to vote (ratified in 1920).

What does the Twentieth Amendment address?

Moved the presidential inauguration date to January 20th (ratified in 1933).

What did the Twenty-First Amendment do?

Repealed Prohibition (the Eighteenth Amendment) (ratified in 1933).

What limit did the Twenty-Second Amendment establish?

Presidents are limited to two terms in office (ratified in 1951).

What right does the Twenty-Third Amendment grant?

Allowed residents of Washington, D.C., to vote for President (ratified in 1961).

What is prohibited by the Twenty-Fourth Amendment?

Poll taxes in federal elections (ratified in 1964).

What does the Twenty-Fifth Amendment establish?

Presidential succession and procedures for filling the Vice Presidency in cases of death, resignation, or incapacitation (ratified in 1967).

What is guaranteed by the Twenty-Sixth Amendment?

Lowered the voting age to 18 (ratified in 1971).

What does the Twenty-Seventh Amendment regulate?

Congressional pay raises cannot take effect until the next session of Congress (ratified in 1992).

Which amendments are part of the Civil War Amendments?

The 13th, 14th, and 15th Amendments.What rights does the Fifth Amendment protect?

What rights does the Fifth Amendment protect?

Right to due process, protection against self-incrimination, no double jeopardy, and compensation for private property taken for public use.