A college recently advertised that 92% of its students graduate debt-free. A student advocacy organization thinks that the college's claim is unlikely. The organization collected a random samnple of 1051 recent graduates from the college and found that 90.2% of the sample graduated without any student debt. Use significance level of 10% and employ the critical-v proportion of all students from this college that graduate debt-free is different than 92%. method to test the hypothesis that the

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A college recently advertised that 92% 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 1051 recent graduates from the college and found that 90.2% of the sample graduated
without any student debt.
Use significance level of 10 % and employ the critical-v
proportion of all students from this college that graduate debt-free is different than 92%.
method to test the hypothesis that the
State the null and alternative hypothesis for this test.
О Н: р < 0.92, Н:р > 0.92
О Но:р - 0.92, Ні:р 40.92
О Но:р 4 0.92, H:р - 0.92
О Но:р > 0.92, Нi:р <0.92
Determine the critical-value (s) for the hypothesis test.
O-1.96, 1.96
O-1.64, 1.64
O-2.81, 2.81
01.64
Determine test statistic for the hypothesis test.
O 3.38
Transcribed Image Text:A college recently advertised that 92% 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 1051 recent graduates from the college and found that 90.2% of the sample graduated without any student debt. Use significance level of 10 % and employ the critical-v proportion of all students from this college that graduate debt-free is different than 92%. method to test the hypothesis that the State the null and alternative hypothesis for this test. О Н: р < 0.92, Н:р > 0.92 О Но:р - 0.92, Ні:р 40.92 О Но:р 4 0.92, H:р - 0.92 О Но:р > 0.92, Нi:р <0.92 Determine the critical-value (s) for the hypothesis test. O-1.96, 1.96 O-1.64, 1.64 O-2.81, 2.81 01.64 Determine test statistic for the hypothesis test. O 3.38
O1.64
Determine test statistic for the hypothesis test.
O-3.38
O 4.21
O 2.99
O-2.15
Determine the appropriate conclusion for this hypothesis test.
O 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 0.92 and thus we
conclude that the proportion of all students at the college that graduate debt-free is likely different
than 0.92.
O 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 0.92 and thus we conclude
that the proportion of all students at the college that graduate debt-free is likely equal to 0.92.
O The sample data do not provide sufficient evidence to reject the null hypothesis that the proportion
of all students at the college that graduate debt-free is 0.92 and thus we conclude that the
proportion of all students at the college that graduate debt-free is likely equal to 0.92.
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 0.92 and thus we conclude that the proportion of
all students at the college that graduate debt-free is likely different than 0.92.
Transcribed Image Text:O1.64 Determine test statistic for the hypothesis test. O-3.38 O 4.21 O 2.99 O-2.15 Determine the appropriate conclusion for this hypothesis test. O 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 0.92 and thus we conclude that the proportion of all students at the college that graduate debt-free is likely different than 0.92. O 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 0.92 and thus we conclude that the proportion of all students at the college that graduate debt-free is likely equal to 0.92. O The sample data do not provide sufficient evidence to reject the null hypothesis that the proportion of all students at the college that graduate debt-free is 0.92 and thus we conclude that the proportion of all students at the college that graduate debt-free is likely equal to 0.92. 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 0.92 and thus we conclude that the proportion of all students at the college that graduate debt-free is likely different than 0.92.
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