Consider the following hypotheses.  H0: p= 0.46 H1: p≠ 0.46 Given that p= 0.35, n= 160, and a = 0.10 a) what conclusions should be drawn?  b) determine the p-value for this test.  I need help please!!!

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Consider the following hypotheses. 
H0: p= 0.46 H1: p≠ 0.46

Given that p= 0.35, n= 160, and a = 0.10

a) what conclusions should be drawn? 

b) determine the p-value for this test. 

I need help please!!!

**Consider the Following Hypotheses**

\[ H_0: p = 0.46 \]

\[ H_1: p \neq 0.46 \]

Given that \(\bar{p} = 0.35\), \(n = 160\), and \(\alpha = 0.10\), answer the following questions.

**a. What conclusion should be drawn?**

**b. Determine the p-value for this test.**

1. **a. Determine the critical value(s) of the test statistic.**

   \[ z_\alpha = \]

   *(Use a comma to separate answers as needed. Round to three decimal places as needed.)*

2. **Calculate the test statistic.**

   \[ z_p = \] *(Round to two decimal places as needed.)*

3. **Choose the correct answer below.**

   - **A.** Do not reject \(H_0\). There is sufficient evidence that \(p \neq 0.46\).
   
   - **B.** Reject \(H_0\). There is sufficient evidence that \(p \neq 0.46\).
   
   - **C.** Do not reject \(H_0\). There is insufficient evidence that \(p \neq 0.46\).
   
   - **D.** Reject \(H_0\). There is insufficient evidence that \(p \neq 0.46\).

4. **b. p-value =** \[ \] *(Round to three decimal places as needed.)*

**Click to select your answer(s).**
Transcribed Image Text:**Consider the Following Hypotheses** \[ H_0: p = 0.46 \] \[ H_1: p \neq 0.46 \] Given that \(\bar{p} = 0.35\), \(n = 160\), and \(\alpha = 0.10\), answer the following questions. **a. What conclusion should be drawn?** **b. Determine the p-value for this test.** 1. **a. Determine the critical value(s) of the test statistic.** \[ z_\alpha = \] *(Use a comma to separate answers as needed. Round to three decimal places as needed.)* 2. **Calculate the test statistic.** \[ z_p = \] *(Round to two decimal places as needed.)* 3. **Choose the correct answer below.** - **A.** Do not reject \(H_0\). There is sufficient evidence that \(p \neq 0.46\). - **B.** Reject \(H_0\). There is sufficient evidence that \(p \neq 0.46\). - **C.** Do not reject \(H_0\). There is insufficient evidence that \(p \neq 0.46\). - **D.** Reject \(H_0\). There is insufficient evidence that \(p \neq 0.46\). 4. **b. p-value =** \[ \] *(Round to three decimal places as needed.)* **Click to select your answer(s).**
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