Consider the following hypotheses. Ho ps0.22 H1 p>0.22 Given that p = 0.3 , n= 130, and a= 0.01, answer the following questions. a. What conclusion should be drawn? b. Determine the p-value for this test. a. Determine the critical value(s) of the test statistic. Za = (Use a comma to separate answers as needed. Round to two decimal places as needed.) Calculate the test statistic. z, =| (Round to two decimal places as needed.) What conclusion should be drawn? O A. Reject H There is sufficient evidence that p> 0.22. O B. Reject Ho. There is insufficient evidence that p> 0.22. O C. Do not reject Ho. There is sufficient evidence that p> 0.22. O D. Do not reject Ho. There is insufficient evidence that p> 0.22. b. p-value =| (Round to three decimal places as needed.) %3D

MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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What conclusion should be drawn? A, B, C, or D? B) p-value=____ (round to three decimal places as needed.)
Consider the following hypotheses:

\[ H_0: p \leq 0.22 \]

\[ H_1: p > 0.22 \]

Given that \(\hat{p} = 0.3\), \( n = 130 \), and \( \alpha = 0.01 \), answer the following questions:

a. What conclusion should be drawn?

b. Determine the p-value for this test.

---

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

\[ z_\alpha = \]

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

Calculate the test statistic.

\[ z_p = \]

(Round to two decimal places as needed.)

What conclusion should be drawn?

- A. Reject \( H_0 \). There is sufficient evidence that \( p > 0.22 \)
- B. Reject \( H_0 \). There is insufficient evidence that \( p > 0.22 \)
- C. Do not reject \( H_0 \). There is sufficient evidence that \( p > 0.22 \)
- D. Do not reject \( H_0 \). There is insufficient evidence that \( p > 0.22 \)

---

**b. p-value =**  
(Round to three decimal places as needed.)
Transcribed Image Text:Consider the following hypotheses: \[ H_0: p \leq 0.22 \] \[ H_1: p > 0.22 \] Given that \(\hat{p} = 0.3\), \( n = 130 \), and \( \alpha = 0.01 \), answer the following questions: a. What conclusion should be drawn? b. Determine the p-value for this test. --- **a. Determine the critical value(s) of the test statistic** \[ z_\alpha = \] (Use a comma to separate answers as needed. Round to two decimal places as needed.) Calculate the test statistic. \[ z_p = \] (Round to two decimal places as needed.) What conclusion should be drawn? - A. Reject \( H_0 \). There is sufficient evidence that \( p > 0.22 \) - B. Reject \( H_0 \). There is insufficient evidence that \( p > 0.22 \) - C. Do not reject \( H_0 \). There is sufficient evidence that \( p > 0.22 \) - D. Do not reject \( H_0 \). There is insufficient evidence that \( p > 0.22 \) --- **b. p-value =** (Round to three decimal places as needed.)
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