Testing a Claim about a Population Proportion Answers

Complete the "State” and "Plan” steps. Which statements are true? Check all that apply.

✔ metnot met

0.190.970.98✔ 1.31

✔ 0.190.970.981.31

reject✔ fail to reject

Complete the “State” step for this test. H0: p = Ha: p where p = the true proportion of all that .

equalsis greater thanis less than✔ is different from

0.050.50✔ 0.970.98

studentsadults✔ householdsshoppers

go shopping✔ purchase toilet paperwere selected

The power of this test to reject p = 0.97 if 0.98 is true is 0.21. Interpret the power of this test.

0.050.21✔ 0.970.98

Complete the "Do” and "Conclude” steps using the z-table. Which statements are true? Check all that apply.

Plan: The analyst should carry out a z-test for one proportion. Determine if each condition is met or not met. Random: met 10%: Large counts: What is the test statistic and P-value? Test statistic: z = P-value: The analyst should H0.

Adults tend to believe that a majority of teenagers sleep in on Saturdays, but maybe that is a misconception. A random sample of 120 teenagers showed that 48 slept in the previous Saturday. Use the computer output provided below to determine if there is convincing evidence at the α = 0.05 level that the true proportion of teenagers who slept in on the previous Saturday is less than 0.5. Use this computer output to answer the questions. Because the P-value α, we H0. We convincing evidence that the true proportion of teenagers who slept in on the previous Saturday is .

Adults tend to believe that a majority of teenagers sleep in on Saturdays, but maybe that is a misconception. A random sample of 120 teenagers showed that 48 slept in the previous Saturday. Use the computer output provided below to determine if there is convincing evidence at the α = 0.05 level that the true proportion of teenagers who slept in on the previous Saturday is less than 0.5.Use this computer output to answer the questions.Based upon the 95% confidence interval, it is reasonable to claim that the true proportion of all teenagers who slept in on the previous Saturday is between which two values?

What can be done to increase the power of this test to reject 0.97 if 0.98 is true? Check all that apply.

The power of this test to reject p = 0.97 if 0.98 is true is 0.21. If the analyst were to decrease the significance level of the test, how would the power be affected?

✔ rejectfail to reject

0.05✔ 0.210.970.98