AP Statistics Chapter 9 - Testing a Claim

Test Statistics

________ To assess how far the estimate is from the parameter, standardize the estimate.

Interpretation

________: Use the p- value to state a conclusion, in context, in a sentence or two Type I and Type II Errors There are two types of errors that can be made using inferential techniques.

Statistical Significance

________ If the P- value is as small as or smaller than alpha, we say that the data are statistically significant at level alpha.

alternate hypotheses

Hypotheses: State the null and ________ 2.

probability of a Type I

The ________ error is the same as alpha, the significance level.

null hypothesis

Usually the ________ is a statement of "no effect, ""no difference, "or no change from historical values.

A Plan for Carrying out a Significance Test

1

Hypotheses

State the null and alternate hypotheses 2

Conditions

Check conditions for the appropriate test 3

Calculations

Compute the test statistic and use it to find the p-value 4

Interpretation

Use the p-value to state a conclusion, in context, in a sentence or two Type I and Type II Errors There are two types of errors that can be made using inferential techniques

9.2

Tests about a Population Proportion Z-test for a Population Proportion (one-proportion z-test) 1

o Independent

is the sample size less than 10% of the population size

Normal

Are np0 and both at least 10

where is the sample proportion √𝑝0(1−𝑝0) 𝑛 P-value

The P-value is based on a normal z-distribution

Conclusion

If P < , then Reject the H0, otherwise Fail to Reject H0

9.3

Tests about a Population Mean T-test for a Population Mean

o Independent

is the sample size less than 10% of the population size

o Normal

Is it given or is there a large sample size ( n  30 )