The test statistic of z = 2.08 is obtained when testing the claim that p> 0.3. 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 = 0.10, should we reject Ho or should we fail to reject H, ?

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**Hypothesis Testing Exercise**

The test statistic of \( z = 2.08 \) is obtained when testing the claim that \( p > 0.3 \).

a. **Identify the Hypothesis Test Type**
   - Determine if the hypothesis test is two-tailed, left-tailed, or right-tailed.

b. **Find the P-value**
   - Calculate the P-value. (Round to three decimal places as needed.)

c. **Using a Significance Level**
   - With a significance level of \( \alpha = 0.10 \), decide whether to reject \( H_0 \) or fail to reject \( H_0 \).

   - **Links for Reference:**
     - [Page 1 of the standard normal distribution table](#)
     - [Page 2 of the standard normal distribution table](#)

**Instructions:**

a. This is a [dropdown selection] test.

b. **P-value Calculation**
   - Enter P-value = [Input box] (Round to three decimal places as needed.)

c. **Conclusion Options:**

   - **A.** Reject \( H_0 \). There is not sufficient evidence to support the claim that \( p > 0.3 \).
   - **B.** Reject \( H_0 \). There is sufficient evidence to support the claim that \( p > 0.3 \).
   - **C.** Fail to reject \( H_0 \). There is not sufficient evidence to support the claim that \( p > 0.3 \).
   - **D.** Fail to reject \( H_0 \). There is sufficient evidence to support the claim that \( p > 0.3 \).

**Further Explanation:**

- The exercise involves determining the nature of the hypothesis test, calculating the P-value, and deciding the outcome using the standard normal distribution. The links provided allow access to the distribution tables needed for these calculations.
Transcribed Image Text:**Hypothesis Testing Exercise** The test statistic of \( z = 2.08 \) is obtained when testing the claim that \( p > 0.3 \). a. **Identify the Hypothesis Test Type** - Determine if the hypothesis test is two-tailed, left-tailed, or right-tailed. b. **Find the P-value** - Calculate the P-value. (Round to three decimal places as needed.) c. **Using a Significance Level** - With a significance level of \( \alpha = 0.10 \), decide whether to reject \( H_0 \) or fail to reject \( H_0 \). - **Links for Reference:** - [Page 1 of the standard normal distribution table](#) - [Page 2 of the standard normal distribution table](#) **Instructions:** a. This is a [dropdown selection] test. b. **P-value Calculation** - Enter P-value = [Input box] (Round to three decimal places as needed.) c. **Conclusion Options:** - **A.** Reject \( H_0 \). There is not sufficient evidence to support the claim that \( p > 0.3 \). - **B.** Reject \( H_0 \). There is sufficient evidence to support the claim that \( p > 0.3 \). - **C.** Fail to reject \( H_0 \). There is not sufficient evidence to support the claim that \( p > 0.3 \). - **D.** Fail to reject \( H_0 \). There is sufficient evidence to support the claim that \( p > 0.3 \). **Further Explanation:** - The exercise involves determining the nature of the hypothesis test, calculating the P-value, and deciding the outcome using the standard normal distribution. The links provided allow access to the distribution tables needed for these calculations.
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