Test the claim that the mean GPA of night students is significantly different than 3.1 at the 0.02 significance level. The null and alternative hypotheses would be: H0:p=0.775H0:p=0.775   H1:p≠0.775H1:p≠0.775 a H0:p=0.775H0:p=0.775 H1:p>0.775H1:p>0.775 b H0:p=0.775H0:p=0.775 H1:p<0.775H1:p<0.775 c H0:μ=3.1H0:μ=3.1 H1:μ≠3.1H1:μ≠3.1 d H0:μ=3.1H0:μ=3.1 H1:μ>3.1H1:μ>3.1 e H0:μ=3.1H0:μ=3.1 H1:μ<3.1H1:μ<3.1 f   The test is: two-tailed right-tailed left-tailed   Based on a sample of 38 people, the sample mean GPA was 3.08 with a standard deviation of 0.12 The p-value is: __?__(to 3 decimals) The positive significance level is: __?__(to 2 decimals) Based on this we: a) Fail to reject the null hypothesis b) Reject the null hypothesis

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
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Test the claim that the mean GPA of night students is significantly different than 3.1 at the 0.02 significance level.

The null and alternative hypotheses would be:

H0:p=0.775H0:p=0.775  
H1:p≠0.775H1:p≠0.775
a
H0:p=0.775H0:p=0.775
H1:p>0.775H1:p>0.775
b
H0:p=0.775H0:p=0.775
H1:p<0.775H1:p<0.775
c
H0:μ=3.1H0:μ=3.1
H1:μ≠3.1H1:μ≠3.1
d
H0:μ=3.1H0:μ=3.1
H1:μ>3.1H1:μ>3.1
e
H0:μ=3.1H0:μ=3.1
H1:μ<3.1H1:μ<3.1
f
 
The test is: two-tailed right-tailed left-tailed
 
Based on a sample of 38 people, the sample mean GPA was 3.08 with a standard deviation of 0.12

The p-value is: __?__(to 3 decimals)

The positive significance level is: __?__(to 2 decimals)

Based on this we:
  • a) Fail to reject the null hypothesis
  • b) Reject the null hypothesis
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