The test statistic of z = 1.53 is obtained when testing the claim that p 0.414. a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. Find the P-value. c. Using a significance level of a = 0.05, should we reject H, or should we fail to reject H, ?

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The test statistic of \( z = 1.53 \) is obtained when testing the claim that \( p \neq 0.414 \).

**a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed.**

- This is a **two-tailed** test.

**b. Find the P-value.**

- P-value = \(\_\_\_\) (Round to three decimal places as needed.)

**c. Using a significance level of \(\alpha = 0.05\), should we reject \( H_0 \) or should we fail to reject \( H_0 \)?**

To find the P-value, you can use the standard normal distribution tables linked below:

- [Click here to view page 1 of the standard normal distribution table.](#)
- [Click here to view page 2 of the standard normal distribution table.](#)

Based on the P-value, compare it with the significance level \(\alpha\) to decide whether to reject or fail to reject the null hypothesis \( H_0 \).
Transcribed Image Text:The test statistic of \( z = 1.53 \) is obtained when testing the claim that \( p \neq 0.414 \). **a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed.** - This is a **two-tailed** test. **b. Find the P-value.** - P-value = \(\_\_\_\) (Round to three decimal places as needed.) **c. Using a significance level of \(\alpha = 0.05\), should we reject \( H_0 \) or should we fail to reject \( H_0 \)?** To find the P-value, you can use the standard normal distribution tables linked below: - [Click here to view page 1 of the standard normal distribution table.](#) - [Click here to view page 2 of the standard normal distribution table.](#) Based on the P-value, compare it with the significance level \(\alpha\) to decide whether to reject or fail to reject the null hypothesis \( H_0 \).
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