A guidance counselor wishes to determine if the proportions of female high school students in his school district who have jobs are equal to the national average of 36%. He surveys 80 female students, ages 16 through 18, to determine if they work. The results are shown. At α = 0.01, test the claim that the proportions of female students who work are equal. Use the P-value method.

Follow these steps.
a. State the hypotheses and identify the claim.
b. Find the critical value(s).
c. Compute the test value.
d. Make the decision.
e. Summarize the results.
Use the traditional method of hypothesis testing unless otherwise specified.

Transcribed Image Text:

16-year-olds 17-year-olds 18-year-olds 31 49 80 Work Don't work 45 35 80 38 42 80 Total