Test the claim that the mean GPA of night students is larger than 2.6 at the 0.01 significance level. The null and alternative hypothesis would be: Ho:p > 0.65 Ho:p< 0.65 Ho:p=0.65 Ho:µ< 2.6 H,:µ = 2.6 Ho:µ > 2.6 H1:p < 0.65 H1:p > 0.65 H1:p+0.65 H1:µ> 2.6 H:µ+ 2.6 H1:µ < 2.6 The test is: two-tailed right-tailed left-tailed Based on a sample of 65 people, the sample mean GPA was 2.63 with a standard deviation of 0.07 (to 2 decimals) The test statistic is: The p-value is: (to 2 decimals) Based on this we: O Fail to reject the null hypothesis O Reject the null hypothesis
Test the claim that the mean GPA of night students is larger than 2.6 at the 0.01 significance level. The null and alternative hypothesis would be: Ho:p > 0.65 Ho:p< 0.65 Ho:p=0.65 Ho:µ< 2.6 H,:µ = 2.6 Ho:µ > 2.6 H1:p < 0.65 H1:p > 0.65 H1:p+0.65 H1:µ> 2.6 H:µ+ 2.6 H1:µ < 2.6 The test is: two-tailed right-tailed left-tailed Based on a sample of 65 people, the sample mean GPA was 2.63 with a standard deviation of 0.07 (to 2 decimals) The test statistic is: The p-value is: (to 2 decimals) Based on this we: O Fail to reject the null hypothesis O Reject the null hypothesis
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![**Hypothesis Testing Example**
**Scenario:**
Test the claim that the mean GPA of night students is larger than 2.6 at the 0.01 significance level.
**Step 1: Formulate Hypotheses**
The null and alternative hypotheses would be:
- \( H_0: \mu \leq 2.6 \)
- \( H_1: \mu > 2.6 \)
**Step 2: Determine the Test Type**
The test is:
- Right-tailed
**Step 3: Gather Data**
Based on a sample of 65 people, the sample mean GPA was 2.63 with a standard deviation of 0.07.
**Step 4: Calculate Test Statistic**
- The test statistic is: [_________] (to 2 decimals)
**Step 5: Find p-value**
- The p-value is: [_________] (to 2 decimals)
**Step 6: Make a Decision**
Based on this we:
- \( \square \) Fail to reject the null hypothesis
- \( \square \) Reject the null hypothesis
**Conclusion:**
Complete the calculations to determine whether there is enough evidence to support the claim that the mean GPA is larger than 2.6.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe325546f-3ee2-4c05-806e-927fec016c1d%2Fd3520b42-4d8d-4314-a977-36cb13643d0b%2Fosy72l_processed.png&w=3840&q=75)
Transcribed Image Text:**Hypothesis Testing Example**
**Scenario:**
Test the claim that the mean GPA of night students is larger than 2.6 at the 0.01 significance level.
**Step 1: Formulate Hypotheses**
The null and alternative hypotheses would be:
- \( H_0: \mu \leq 2.6 \)
- \( H_1: \mu > 2.6 \)
**Step 2: Determine the Test Type**
The test is:
- Right-tailed
**Step 3: Gather Data**
Based on a sample of 65 people, the sample mean GPA was 2.63 with a standard deviation of 0.07.
**Step 4: Calculate Test Statistic**
- The test statistic is: [_________] (to 2 decimals)
**Step 5: Find p-value**
- The p-value is: [_________] (to 2 decimals)
**Step 6: Make a Decision**
Based on this we:
- \( \square \) Fail to reject the null hypothesis
- \( \square \) Reject the null hypothesis
**Conclusion:**
Complete the calculations to determine whether there is enough evidence to support the claim that the mean GPA is larger than 2.6.
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