Ho: P = 0.20 H₂: P = 0.20 A sample of 400 provided a sample proportion p = 0.175. (a) Compute the value of the test statistic. (Round your answer to two decimal places.) (b) What is the p-value? (Round your answer to four decimal places.) p-value = (c) At a = 0.05, what is your conclusion? O Reject Ho. There is insufficient evidence to conclude that p + 0.20. O Do not reject Ho. There is insufficient evidence to conclude that p = 0.20. O Do not reject Ho. There is sufficient evidence to conclude that p = 0.20. O Reject Ho. There is sufficient evidence to conclude that p = 0.20.
Ho: P = 0.20 H₂: P = 0.20 A sample of 400 provided a sample proportion p = 0.175. (a) Compute the value of the test statistic. (Round your answer to two decimal places.) (b) What is the p-value? (Round your answer to four decimal places.) p-value = (c) At a = 0.05, what is your conclusion? O Reject Ho. There is insufficient evidence to conclude that p + 0.20. O Do not reject Ho. There is insufficient evidence to conclude that p = 0.20. O Do not reject Ho. There is sufficient evidence to conclude that p = 0.20. O Reject Ho. There is sufficient evidence to conclude that p = 0.20.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![## Hypothesis Testing Example:
In this example, we are performing a hypothesis test for a population proportion.
### Given:
- Null Hypothesis (\( H_0 \)): \( p = 0.20 \)
- Alternative Hypothesis (\( H_a \)): \( p \neq 0.20 \)
- A sample of 400 provided a sample proportion (\( \bar{p} \)) = 0.175.
### Steps:
**(a) Compute the value of the test statistic. (Round your answer to two decimal places.)**
\[ \text{Test Statistic} = \]
**(b) What is the \( p \)-value? (Round your answer to four decimal places.)**
\[ p\text{-value} = \]
**(c) At \( \alpha = 0.05 \), what is your conclusion?**
- \( \circ \) Reject \( H_0 \). There is insufficient evidence to conclude that \( p \neq 0.20 \).
- \( \circ \) Do not reject \( H_0 \). There is insufficient evidence to conclude that \( p \neq 0.20 \).
- \( \circ \) Do not reject \( H_0 \). There is sufficient evidence to conclude that \( p \neq 0.20 \).
- \( \circ \) Reject \( H_0 \). There is sufficient evidence to conclude that \( p \neq 0.20 \).
**(d) What is the rejection rule using the critical value? (Round your answer to two decimal places. If the test is one-tailed, enter NONE for the unused tail.)**
\[ \text{test statistic} \leq \] \hspace{1em}
\[ \text{test statistic} \geq \]
**What is your conclusion?**
- \( \circ \) Reject \( H_0 \). There is insufficient evidence to conclude that \( p \neq 0.20 \).
- \( \circ \) Do not reject \( H_0 \). There is insufficient evidence to conclude that \( p \neq 0.20 \).
- \( \circ \) Do not reject \( H_0 \). There is sufficient evidence to conclude that \( p \neq 0.20 \).
- \( \circ \) Reject \( H_0 \). There is sufficient evidence to conclude that \( p \neq 0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F98fd5880-bd7f-4b90-9f43-35abbd9a1544%2Ffe50766f-5f54-430f-a7f7-d830e645bb6a%2Fo74v40p_processed.png&w=3840&q=75)
Transcribed Image Text:## Hypothesis Testing Example:
In this example, we are performing a hypothesis test for a population proportion.
### Given:
- Null Hypothesis (\( H_0 \)): \( p = 0.20 \)
- Alternative Hypothesis (\( H_a \)): \( p \neq 0.20 \)
- A sample of 400 provided a sample proportion (\( \bar{p} \)) = 0.175.
### Steps:
**(a) Compute the value of the test statistic. (Round your answer to two decimal places.)**
\[ \text{Test Statistic} = \]
**(b) What is the \( p \)-value? (Round your answer to four decimal places.)**
\[ p\text{-value} = \]
**(c) At \( \alpha = 0.05 \), what is your conclusion?**
- \( \circ \) Reject \( H_0 \). There is insufficient evidence to conclude that \( p \neq 0.20 \).
- \( \circ \) Do not reject \( H_0 \). There is insufficient evidence to conclude that \( p \neq 0.20 \).
- \( \circ \) Do not reject \( H_0 \). There is sufficient evidence to conclude that \( p \neq 0.20 \).
- \( \circ \) Reject \( H_0 \). There is sufficient evidence to conclude that \( p \neq 0.20 \).
**(d) What is the rejection rule using the critical value? (Round your answer to two decimal places. If the test is one-tailed, enter NONE for the unused tail.)**
\[ \text{test statistic} \leq \] \hspace{1em}
\[ \text{test statistic} \geq \]
**What is your conclusion?**
- \( \circ \) Reject \( H_0 \). There is insufficient evidence to conclude that \( p \neq 0.20 \).
- \( \circ \) Do not reject \( H_0 \). There is insufficient evidence to conclude that \( p \neq 0.20 \).
- \( \circ \) Do not reject \( H_0 \). There is sufficient evidence to conclude that \( p \neq 0.20 \).
- \( \circ \) Reject \( H_0 \). There is sufficient evidence to conclude that \( p \neq 0
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