4
QuizMultiple Choice

Testing a Claim about a Difference between Proportions — Unit test

Question 4 • AQR_A_IC

A school guidance counselor is concerned that a greater proportion of high school students are working part-time jobs during the school year than a decade ago. A decade ago, 28% of high school students worked a part-time job during the school year. To investigate whether the proportion is greater today, a random sample of 80 high school students is selected. It is discovered that 37.5% of them work part-time jobs during the school year. The guidance counselor would like to know if the data provide convincing evidence that the true proportion of all high school students who work a part-time job during the school year is greater than 0.28. What are the appropriate hypotheses for this test?

Answer
A
H0: p = 0.28 versus Ha: p < 0.28, where p = the proportion of all high school students who work a part-time job during the school year.
B
H0: p = 0.28 versus Ha: p > 0.28, where p = the proportion of all high school students who work a part-time job during the school year.
C
H0: p = 0.28 versus Ha: p < 0.28, where p = the proportion of high school students in the sample who work a part-time job during the school year.
D
H0: p = 0.28 versus Ha: p > 0.28, where p = the proportion of high school students in the sample who work a part-time job during the school year.
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