7. In a survey of 175 females ages 16 to 24 who have completed high school during the past 12 months, 72% were enrolled in college. In a survey of 160 males ages 16 to 24 who have completed high school during the past 12 months, 65% were enrolled in college. At a = 0.01, can you reject the claim that there is no difference in the proportion of college enrollees between the two groups?
For each hypothesis test you complete, please answer questions (a) through (i) listed below.
(a) What conditions should you check first before you conduct the hypothesis test?
(b) Write the null and alternative hypotheses.
(c) What type of test are you doing: right-tailed, left-tailed or two-tailed?
(d) What formula should be used for the test statistic?
(e) What number is the test statistic equal to?
(f) Sketch a graph of the p-value
(g) What p-value do you obtain? Round to the ten-thousandths.
(h) Do you reject the null hypothesis or fail to reject the null hypothesis? Explain.
(i) Please write a conclusion sentence, in the context of the problem, that explains to a lay person the result of the hypothesis test.
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