The average student loan debt is reported to be $25,235. A student belives that the student loan debt is higher in her area. She takes a random sample of 100 college students in her area and determines the mean to be $27,524 and the standard devition to be $6000. Is there sufficient evidence to support the student' claim at a 5% significance level? a) Determine the null and alternative hypotheses. Ho: H Ha: µ Select an answer |(Put in the correct symbol and value) b) Determine the test statistic. Round to two decimals. t = c) Find the p-value. Round to 4 decimals. P-value = d) Make a decision. O Fail to reject the null hypothesis O Reject the null hypothesis e) Write the conclusion. O There is sufficient evidence to support the claim that student loan debt is higher than $25,235. O There is not sufficient evidence to support the claim that student loan debt is higher than $25,235

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please answer and explain parts d and e 

The average student loan debt is reported to be $25,235. A student belives that the student loan debt is
higher in her area. She takes a random sample of 100 college students in her area and determines the
mean to be $27,524 and the standard devition to be $6000. Is there sufficient evidence to support the
student' claim at a 5% significance level?
a) Determine the null and alternative hypotheses.
Но: и
Ha: µ Select an answer v
|(Put in the correct symbol and value)
b) Determine the test statistic. Round to two decimals.
c) Find the p-value. Round to 4 decimals.
P-value =
d) Make a decision.
O Fail to reject the null hypothesis
Reject the null hypothesis
e) Write the conclusion.
O There is sufficient evidence to support the claim that student loan debt is higher than $25,235.
There is not sufficient evidence to support the claim that student loan debt is higher than $25,235.
Transcribed Image Text:The average student loan debt is reported to be $25,235. A student belives that the student loan debt is higher in her area. She takes a random sample of 100 college students in her area and determines the mean to be $27,524 and the standard devition to be $6000. Is there sufficient evidence to support the student' claim at a 5% significance level? a) Determine the null and alternative hypotheses. Но: и Ha: µ Select an answer v |(Put in the correct symbol and value) b) Determine the test statistic. Round to two decimals. c) Find the p-value. Round to 4 decimals. P-value = d) Make a decision. O Fail to reject the null hypothesis Reject the null hypothesis e) Write the conclusion. O There is sufficient evidence to support the claim that student loan debt is higher than $25,235. There is not sufficient evidence to support the claim that student loan debt is higher than $25,235.
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