Question 4 <> The average student loan debt is reported to be S25,235. 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. = 1 :0H Ha: Select an answer v (Put in the correct symbol and value) b) Determine the test statistic. Round to two decimals. t%3D c) Find the p-value. Round to 4 decimals. P-value = d) Make a decision. O Reject the null hypothesis O Fail to 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. Submit Question

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 29E
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Question 4
The average student loan debt is reported to be 525,235. 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: P
H.: µSelect an answer
(Put in the correct symbol and value)
b) Determine the test statistic. Round to two decimals.
t%3D
c) Find the p-value, Round to 4 decimals.
P-value =
d) Make a decision.
O Reject the null hypothesis
O Fail to reject the null hypothesis
e) Write the conclusion.
O There is sufficient evidence to support the claim that student loan debt is higher than 525,235,
O There is not sufficient evidence to support the claim that student loan debt is higher than S25,235.
Submit Question
Transcribed Image Text:Question 4 The average student loan debt is reported to be 525,235. 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: P H.: µSelect an answer (Put in the correct symbol and value) b) Determine the test statistic. Round to two decimals. t%3D c) Find the p-value, Round to 4 decimals. P-value = d) Make a decision. O Reject the null hypothesis O Fail to reject the null hypothesis e) Write the conclusion. O There is sufficient evidence to support the claim that student loan debt is higher than 525,235, O There is not sufficient evidence to support the claim that student loan debt is higher than S25,235. Submit Question
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