Consider the following hypothesis test: Ho: µ< 25 H: µ > 25 A sample of 40 provided a sample mean of 26.4. The population standard deviation is 6. a. Compute the value of the test statistic (to 2 decimals). b. What is the p-value (to 4 decimals)? Use the value of the test statistic rounded to 2 decimal places in your calculations. c. At a = 0.01, what is your conclusion? p-value is - Select your answer - d. What is the rejection rule using the critical value? Reject Ho if z is -Select your answer - | Ho What is your conclusion? Select your answer - v Ho

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### Hypothesis Test Example

Consider the following hypothesis test:

- **Null Hypothesis (\(H_0\)):** \(\mu \le 25\)
- **Alternative Hypothesis (\(H_a\)):** \(\mu > 25\)

A sample of 40 provided a sample mean of 26.4. The population standard deviation is 6.

#### a. Compute the value of the test statistic (to 2 decimals).
- [Input box for test statistic]

#### b. What is the \(p\)-value (to 4 decimals)? Use the value of the test statistic rounded to 2 decimal places in your calculations.
- [Input box for \(p\)-value]

#### c. At \(\alpha = 0.01\), what is your conclusion?
- p-value is [Dropdown to select answer] \(H_0\)

#### d. What is the rejection rule using the critical value?
- Reject \(H_0\) if \(z\) is [Dropdown to select answer] 

#### What is your conclusion?
- [Dropdown to select answer] \(H_0\)
Transcribed Image Text:### Hypothesis Test Example Consider the following hypothesis test: - **Null Hypothesis (\(H_0\)):** \(\mu \le 25\) - **Alternative Hypothesis (\(H_a\)):** \(\mu > 25\) A sample of 40 provided a sample mean of 26.4. The population standard deviation is 6. #### a. Compute the value of the test statistic (to 2 decimals). - [Input box for test statistic] #### b. What is the \(p\)-value (to 4 decimals)? Use the value of the test statistic rounded to 2 decimal places in your calculations. - [Input box for \(p\)-value] #### c. At \(\alpha = 0.01\), what is your conclusion? - p-value is [Dropdown to select answer] \(H_0\) #### d. What is the rejection rule using the critical value? - Reject \(H_0\) if \(z\) is [Dropdown to select answer] #### What is your conclusion? - [Dropdown to select answer] \(H_0\)
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