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A college recently advertised that 86 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 1345 recent graduates from the college and found that 83 of the sample graduated without any student debt Use significance level of 1 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 86 State the null and alternative hypothesis for this test OH p 0 86 H p 0 86 H p 0 86 O He p20 86 OH p 0 86 H p 0 86 OH p0 86 H p 0 86 Determine the critical value s for the hypothesis test O 2 81 2 81 O 2 58 2 58 O 2 17 2 17 02 58 Determine test statistic for the hypothesis test 0 24 0 3 37 03 17 0 1 86 Determine the appropriate conclusion for this hypothesis test 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 86 and thus we conclude that the proportion of all students at the college that graduate debt free is likely equal to 0 86 The sample data do not provide sufficient evidence to reject the alternative hypothesis that the at the college that graduate debt free is different than 0 86 and thus we conclude that the proportion of all students at the college that graduate debt free is likely different The sample date de not provide sufficient evidence to reject the null hypothesis that the propertion of all students the college that graduate debt free is 0 06 and thus we conclude that the students at the college that graduate debt free is likely equal to 0 86 The sample data provide sufficient evidence to reject the null hypothesis that the proportion sun

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