EXST 2201 Mckenna Lesson 6.1

Click two of the following choices as the reasons why the method of hypothesis testing is needed.

To answer if the null value is less than, or greater than, the population mean.

To learn the reasonableness that the null value is the value of the population mean.

In the statistical method of hypothesis testing, what is the meaning of the word reasonableness?

How reasonable is the null value the value of the population mean.

In the alternative hypothesis of a hypothesis test, what is the meaning of the words 'less than', or 'greater than'?

Could the value of the population mean be less than, or greater than, the value in the null hypothesis.

In the statistical method of hypothesis testing, choose two of the choices below as the assumptions required to perform a hypothesis test.

The sample average is normally distributed.

The individuals were randomly selected.

For the General Method to solve problems in statistics, please match each step with the type of information that step works with.

A: Abstract. : Relevant info from problem.

1: Theorize. : Probability info from theory.

2: Analyze. : Sample info from problem.

3: Infer. : Population info as a result.

In the statistical method of hypothesis testing, which of the choices below is NOT a descriptive statistic.

Statistic = t0.

In the statistical method of hypothesis testing, what belief about the population mean does the null hypothesis (H0) express?

The currently believed value of the population mean.

In the statistical method of hypothesis testing, what belief about the population mean does the alternative hypothesis (H1) express?

What information does the alternative hypothesis express?

The researcher's believed value of the population mean.

In the statistical method of hypothesis testing, please match each region below with the appropriate area under a schematic normal curve.

Acceptance Region. : A middle body area.

Less than Rejection Region. : A left-tail area.

Greater than Rejection Region. : A right-tail area.

Not-Equal-To Rejection Region. : A two-tail area.

In the statistical method of hypothesis testing, for the value that separates the schematic curve into the acceptance region and the rejection region(s), what is its name / where does it come from?

The critical value / From the z,t-Table.

In the statistical method of hypothesis testing, where does the value of the test statistic come from?

From the t-equation (t0=x¯−μsn−−√).

In the statistical method of hypothesis testing, p-value gives the size of which area(s) in a schematic curve?

The tail area(s) from the value of the test statistic.

In the statistical method of hypothesis testing, what happens to the Type-II Error when the Type-I Error is decreased?

The Type-II Error increases.

In the science of statistics, why is the method of hypothesis testing called an inferential method of statistics?

It infers the best guess of the value of the population mean from the sample information.

In the statistical method of hypothesis testing, how is an inference about a population mean actually made?

By determining if the test statistic is close or far from the null value.

In the statistical method of hypothesis testing, what value determines if the test statistic is close or far / where does it come from?

The critical value / from the z,t-table.

In the statistical method of hypothesis testing, how is the distance between the test statistic and the null value determined?

By converting into z,t-values and finding the statistical distance.

In the statistical method of hypothesis testing, please match each question of interest below with what value the schematic curve is centered over,

Probability. : The population mean.

Confidence Interval. : The sample average.

Hypothesis Test. : The null value.

In the statistical method of hypothesis testing, please select two choices that are the parts of Step A: Abstract.

Get descriptive statistics from the sample data values.

Write the researcher's question into two hypotheses.

In the statistical method of hypothesis testing, where does the null value NOT come from?

From results from the sample.

In the statistical method of hypothesis testing, please match each mathematical sign in a hypothesis to its situation in a distribution.

Less than sign (μ≤0). : A left-tail situation.

Greater than sign (μ≥0). : A right-tail situation.

Not equal sign (μ≠0). : A two-tail situation.

Equal sign (μ=0). : A null hypothesis.

In the statistical method of hypothesis testing, please select two choices that are the purposes of Step 1: Theorize.

Find the critical value(s) for this situation.

Use the schematic curve to analyze this situation.

In the statistical method of hypothesis testing, the critical value comes from the z,t-Table. If the degrees of freedom are known, what two choices below give the needed information to find the correct critical value.?

The size of the rejection region (α).

The number of tails in this situation.

In the statistical method of hypothesis testing, please select two choices that are the parts of Step 2: Analyze.

Calculate the test statistic using the z,t-equation.

Find the p-value from the test statistic and the z,t-table.

In the statistical method of hypothesis testing, where does the value of a test statistic come from / where does the p-value come from?

From the z,t-Equation / the z,t-Table.

From the z,t-Table / the z,t-Equation.

In the statistical method of hypothesis testing, please select two choices that are the only possible conclusions of Step 3: Infer.

REJECT the null hypothesis.

DO NOT REJECT the null hypothesis.

In the statistical method of hypothesis testing, please select two choices that are the most commonly used approaches to make an inference about the value of a population mean.

The Critical Value approach.

The p-Value approach.

In the statistical method of hypothesis testing, what exactly does the conclusion to Reject the null hypothesis mean?

That the alternative hypothesis is closer to the truth.