The Gallup Youth Survey asked a random sample of U.S. teens aged 13 to 17 whether they thought that young people should wait until marriage to have sex. The Minitab output shows the results of a significance test and a 95% confidence interval based on the survey data.

a. Define the parameter of interest.

b. Check that the conditions for performing the significance test are met in this case.

c. Interpret the P-value.

d. Do these data give convincing evidence that the actual population proportion differs from 0.5? Justify your answer with appropriate evidence.

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E Session 000 Test and CI for One Proportion Test of p = 0.5 vs p not = 0.5 N Sample p 439 0.560364 (0.513935, 0.606794) Sample 95% CI Z-Value P-Value 246 2.53 0.011