AP Review IV - Hypothesis Tests/Confidence Intervals (30% - 40%)

IMPORTANT: All tests assume a simple random samplefrom the population being studied.

All tests are testing to see if thesamplehas enough evidence to claim that the

populationsinvolved meet the criteria of the problem.

TO RECEIVE FULL CREDIT FOR A HYPOTHESIS TEST (PHANTOMS) YOU MUST:

1) write the null and alternative hypothesis and define each variable

2) write which test you are using in words or with the appropriate formula and why you chose that test

3) write, check all conditions for that test

4) give the test statistic and the p-value (or critical value if you prefer) and df , if applicable

5) reject or fail to reject Ho based on the p-value (or critical value)

6 conclusion in terms of the problem

You either have enough evidence to claim whatever the alternative hypothesis represents (reject H_o)or you do not have enough evidence to claim whatever the alternative hypothesis represents (fail to reject H_o)

TO RECEIVE FULL CREDIT FOR A CONFIDENCE INTERVAL (PANIC) YOU MUST:

1. correctly identify the type of interval by name or formula
2. write, check all conditions for that interval
3. correctly calculate the interval - show work
4. correctly interpret the interval in terms of the problem
5. you may also be required to correctly interpret the confidence level

NOTE: All confidence intervals have the same assumptions of the corresponding hypothesis test.

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Type I errors, Type II errors, and Power

Type I error - (