Question

Test the claim that the mean GPA of night students is significantly different than 3 at the 0.1 significance level.

1. The null and alternative hypothesis would be:

H0:p≥0.75H0:p≥0.75
H1:p<0.75H1:p<0.75

H0:μ≤3H0:μ≤3
H1:μ>3H1:μ>3

H0:p≤0.75H0:p≤0.75
H1:p>0.75H1:p>0.75

H0:μ≥3H0:μ≥3
H1:μ<3H1:μ<3

H0:μ=3H0:μ=3
H1:μ≠3H1:μ≠3

H0:p=0.75H0:p=0.75
H1:p≠0.75H1:p≠0.75

2. The test is:

two-tailed

left-tailed

right-tailed

3. Based on a sample of 75 people, the sample mean GPA was 3.05 with a standard deviation of 0.03

The p-value is:  (to 2 decimals)

4. Based on this we:

• Reject the null hypothesis
• Fail to reject the null hypothesis

Answer 1

This is the two tailed test .

The null and alternative hypothesis is

H₀ :   = 3

H_a : 3

Test statistic = z

= ( - ) / / n

= (3.05 - 3) / 0.03 / 75

Test statistic = 14.43

P(z > 14.43) = 1 - P(z < 14.43) = 1 - 1 = 0

P-value = 0

= 0.1

P-value <

Reject the null hypothesis .