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1) A test of significance was performed using alpha = 5%. The P-value was 4% and

ID: 3152069 • Letter: 1

Question

1) A test of significance was performed using alpha = 5%. The P-value was 4% and the power was 85%. What is the probability of a Type II error for this test? 15%, 5%, or 4%?

2) True or false? Sample size does not affect the results of a significance test.

3) Your sample size calculation to control margin of error for a confidence interval had a result of 72.5. You should get a sample of how many individuals?

4)

3) Your sample size calculation to control margin of error for a confidence interval had a result of 72.5. You should get a sample of how many individuals?

4)

Students at my university wanted to move spring break to later in the semester, so that weather at the beach would be warmer. They stood outside a campus dining hall and tried to flag down passersby to sign their petition. The student newspaper later announced that "an overwhelming proportion of those contacted were in favor of moving spring break." It wasn't moved. Why did the administration reject the plan? The sample wasn't random. The sample wasn't large enough. The administration just didn't care.

Explanation / Answer

(1)

Type II error will be

Power = 1- Type II error = 1- 0.85 = 0.15 = 15%

(2)

False, because as the sample size increases test statistics is also increases. That is chances of rejecting the null hypothesis also increases.

(3)

73

(4)

The sample wasn't random.