Understanding One-Sample Hypothesis Test for a Proportion

The video tutorial explains a one-sample hypothesis test for a proportion. June tests if 50% of first-time brides in the U.S. are younger than their grooms. She samples 100 brides, finding 53 are younger. Using a 10% significance level, she sets up a two-tailed test with null hypothesis p = 0.50. The test involves calculating a z-score and p-value using a calculator. The z-score is 0.6, and the p-value is 0.5485, indicating the null hypothesis is not rejected. The tutorial concludes that there is insufficient evidence to show the percentage differs from 50%.

What is the level of significance used in June's hypothesis test?

• 10%

• 20%

• 5%

• 15%

How many first-time brides did June sample for her hypothesis test?

• 100

• 150

• 75

• 50

What is the null hypothesis in June's test?

• p ≠ 0.50

• p = 0.50

• p > 0.50

• p = 0.53

What type of test is used in this hypothesis test?

• Right-tailed test

• Left-tailed test

• Two-tailed test

• One-tailed test

What is the sample proportion (p') in June's test?

• 0.60

• 0.53

• 0.50

• 0.47

Which test is performed to calculate the z-score and p-value?

• One-prop z-test

• T-test

• Two-prop z-test

• Chi-square test

What is the calculated z-score in June's hypothesis test?

• 1.2

• 1.6

• 0.6

• 0.3

What is the approximate p-value obtained in the test?

• 0.5485

• 0.3485

• 0.1485

• 0.0485

What conclusion is drawn from the hypothesis test?

• The test is inconclusive

• Reject the null hypothesis

• Accept the null hypothesis

• Do not reject the null hypothesis

Why is the null hypothesis not rejected in this test?

• The sample size is too small

• The z-score is in the rejection region

• The p-value is greater than alpha

• The p-value is less than alpha