The average student loan debt is reported to be $25200. A student belives that the student loan debt is significantly different in her area. She takes a random sample of 100 college students in her area and determines the mean to be $25800 and the standard devition to be 2050. Is there sufficient evidence to support the student' claim at a 20% significance level?The null and alternative hypothesis would be: H0:p≥0.63H1:p<0.63 H0:p=0.63H1:p≠0.63 H0:μ≥25200H1:μ<25200 H0:μ≤25200H1:μ>25200 H0:μ=25200H1:μ≠25200 H0:p≤0.63H1:p>0.63 The test is: left-tailed right-tailed two-tailed Based on a sample of 100 people, the sample mean student loan debt of $25800 with a standard deviation of $2050The p-value is: (to 2 decimals)Based on this we: Fail to reject the null hypothesis Reject the null hypothesis Which would be the conclusion: There is not sufficient evidence to support the claim that student loan debt is significantly different than $25200. There is sufficient evidence to support the claim that student loan debt is significantly different than $25200.
The average student loan debt is reported to be $25200. A student belives that the student loan debt is significantly different in her area. She takes a random sample of 100 college students in her area and determines the mean to be $25800 and the standard devition to be 2050. Is there sufficient evidence to support the student' claim at a 20% significance level?The null and alternative hypothesis would be: H0:p≥0.63H1:p<0.63 H0:p=0.63H1:p≠0.63 H0:μ≥25200H1:μ<25200 H0:μ≤25200H1:μ>25200 H0:μ=25200H1:μ≠25200 H0:p≤0.63H1:p>0.63 The test is: left-tailed right-tailed two-tailed Based on a sample of 100 people, the sample mean student loan debt of $25800 with a standard deviation of $2050The p-value is: (to 2 decimals)Based on this we: Fail to reject the null hypothesis Reject the null hypothesis Which would be the conclusion: There is not sufficient evidence to support the claim that student loan debt is significantly different than $25200. There is sufficient evidence to support the claim that student loan debt is significantly different than $25200.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
Related questions
Question
The average student loan debt is reported to be $25200. A student belives that the student loan debt is significantly different in her area. She takes a random sample of 100 college students in her area and determines the mean to be $25800 and the standard devition to be 2050. Is there sufficient evidence to support the student' claim at a 20% significance level?
The null and alternative hypothesis would be:
H0:p≥0.63
H1:p<0.63
H1:p<0.63
H0:p=0.63
H1:p≠0.63
H1:p≠0.63
H0:μ≥25200
H1:μ<25200
H1:μ<25200
H0:μ≤25200
H1:μ>25200
H1:μ>25200
H0:μ=25200
H1:μ≠25200
H1:μ≠25200
H0:p≤0.63
H1:p>0.63
H1:p>0.63
The test is:
left-tailed
right-tailed
two-tailed
Based on a sample of 100 people, the sample mean student loan debt of $25800 with a standard deviation of $2050
The p-value is: (to 2 decimals)
Based on this we:
- Fail to reject the null hypothesis
- Reject the null hypothesis
Which would be the conclusion:
- There is not sufficient evidence to support the claim that student loan debt is significantly different than $25200.
- There is sufficient evidence to support the claim that student loan debt is significantly different than $25200.
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