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A college recently advertised that 93 of its students graduate debt free A student advocacy organization thinks that the college s claim is unlikely The organization collected a random sample of 1537 recent graduates from the college and found that 90 9 of the sample graduated without any student debt Let a 0 02 and employ the critical value method to test the hypothesis that the proportion of all students from this college that graduate debt free is different than 93 State the null and alternative hypothesis for this test O Ho p 0 93 H p 0 93 O Ho p20 93 H p 0 93 O Ho p 0 93 H p0 93 Ho p0 93 H p 0 93 Determine the critical value s for the hypothesis test O2 33 O 2 17 2 17 O 2 33 2 33 O 1 28 1 28 Determine test statistic for the hypothesis test O 3 84 O 4 36 O 3 23 O 2 85 etermine the appropriate conclusion for this hypothesis test O The sample data provide sufficient evidence to reject the null hypothesis that the proportion of all students at the college that graduate debt free is 0 93 and thus we conclude that the proportion of all students at the college that graduate debt free is likely different than 0 93 The sample data provide sufficient evidence to reject the alternative hypothesis that the proportion of all students at the college that graduate debt free is different than 0 93 and thus we conclude that the proportion of all students at the college that graduate debt free is likely equal to 0 93 D The sample data do not provide sufficient evidence to reject the alternative hypothesis that the proportion of all students at the college that graduate debt free is different than 0 93 and thus we conclude that the proportion of all students at the college that graduate debt free is likely different than 0 93 the ull hypothesis that the proportion

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