A random sample of 100 observations is selected from a binomial population with unknown probability of success, p. The computed value of p is equal to 0.72. Complete parts a through e a. Test Ho: p=0.62 against H₂: p>0.62. Use α=0.01. Find the rejection region for the test. Choose the correct answer below. OA. z<-2.33 OC. z>2.33 OE. z< -2.575 Calculate the value of the test statistic. Z= (Round to two decimal places as needed.) Make the appropriate conclusion. Choose the correct answer below. ... OB. z<-2.575 or z>2.575 OD. z< -2.33 or z>2.33 OF. z>2.575 O A. Reject Ho. There is sufficient evidence at the a= 0.01 level of significance to conclude that the true proportion of the population is greater than 0.62. O B. Do not reject Ho. There is sufficient evidence at the α = 0.01 level of significance to conclude that the true proportion of the population is greater than 0.62. OC. Do not reject Ho. There is insufficient evidence at the x = 0.01 level of significance to conclude that the true proportion of the population is greater than 0.62. OD. Reject Ho. There is insufficient evidence at the x = 0.01 level of significance to conclude that the true proportion of the population is greater than 0.62.
A random sample of 100 observations is selected from a binomial population with unknown probability of success, p. The computed value of p is equal to 0.72. Complete parts a through e a. Test Ho: p=0.62 against H₂: p>0.62. Use α=0.01. Find the rejection region for the test. Choose the correct answer below. OA. z<-2.33 OC. z>2.33 OE. z< -2.575 Calculate the value of the test statistic. Z= (Round to two decimal places as needed.) Make the appropriate conclusion. Choose the correct answer below. ... OB. z<-2.575 or z>2.575 OD. z< -2.33 or z>2.33 OF. z>2.575 O A. Reject Ho. There is sufficient evidence at the a= 0.01 level of significance to conclude that the true proportion of the population is greater than 0.62. O B. Do not reject Ho. There is sufficient evidence at the α = 0.01 level of significance to conclude that the true proportion of the population is greater than 0.62. OC. Do not reject Ho. There is insufficient evidence at the x = 0.01 level of significance to conclude that the true proportion of the population is greater than 0.62. OD. Reject Ho. There is insufficient evidence at the x = 0.01 level of significance to conclude that the true proportion of the population is greater than 0.62.
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 for Proportion
A random sample of 100 observations is selected from a binomial population with an unknown probability of success, \( p \). The computed value of \(\hat{p}\) is equal to 0.72. Complete parts a through e.
#### a. Test \( H_0: p = 0.62 \) against \( H_a: p > 0.62 \). Use \(\alpha = 0.01\).
**Task:** Find the rejection region for the test. Choose the correct answer below.
1. \( \circ \) \( z < -2.33 \)
2. \( \circ \) \( z < -2.575 \) or \( z > 2.575 \)
3. \( \circ \) \( z > 2.33 \)
4. \( \circ \) \( z < -2.33 \) or \( z > 2.33 \)
5. \( \circ \) \( z =\ -2.575 \)
**Task:** Calculate the value of the test statistic.
\[ z = \ \_\_\_\_\_ \] (Round to two decimal places as needed.)
**Task:** Make the appropriate conclusion. Choose the correct answer below.
1. \( \circ \) **A.** Reject \( H_0 \). There is sufficient evidence at the \( \alpha = 0.01 \) level of significance to conclude that the true proportion of the population is greater than 0.62.
2. \( \circ \) **B.** Do not reject \( H_0 \). There is sufficient evidence at the \( \alpha = 0.01 \) level of significance to conclude that the true proportion of the population is greater than 0.62.
3. \( \circ \) **C.** Do not reject \( H_0 \). There is insufficient evidence at the \( \alpha = 0.01 \) level of significance to conclude that the true proportion of the population is greater than 0.62.
4. \( \circ \) **D.** Reject \( H_0 \). There is insufficient evidence at the \( \alpha = 0.01 \) level of significance to conclude that the true proportion of the population is greater than 0.62.
\[
\text{b. Test } H_0: p = 0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F50bba9ff-e92f-418a-953f-7454e9aa5e30%2Fbc976214-f19b-4861-81bb-8e622fe8f2dd%2Fmcoec4h_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Hypothesis Testing for Proportion
A random sample of 100 observations is selected from a binomial population with an unknown probability of success, \( p \). The computed value of \(\hat{p}\) is equal to 0.72. Complete parts a through e.
#### a. Test \( H_0: p = 0.62 \) against \( H_a: p > 0.62 \). Use \(\alpha = 0.01\).
**Task:** Find the rejection region for the test. Choose the correct answer below.
1. \( \circ \) \( z < -2.33 \)
2. \( \circ \) \( z < -2.575 \) or \( z > 2.575 \)
3. \( \circ \) \( z > 2.33 \)
4. \( \circ \) \( z < -2.33 \) or \( z > 2.33 \)
5. \( \circ \) \( z =\ -2.575 \)
**Task:** Calculate the value of the test statistic.
\[ z = \ \_\_\_\_\_ \] (Round to two decimal places as needed.)
**Task:** Make the appropriate conclusion. Choose the correct answer below.
1. \( \circ \) **A.** Reject \( H_0 \). There is sufficient evidence at the \( \alpha = 0.01 \) level of significance to conclude that the true proportion of the population is greater than 0.62.
2. \( \circ \) **B.** Do not reject \( H_0 \). There is sufficient evidence at the \( \alpha = 0.01 \) level of significance to conclude that the true proportion of the population is greater than 0.62.
3. \( \circ \) **C.** Do not reject \( H_0 \). There is insufficient evidence at the \( \alpha = 0.01 \) level of significance to conclude that the true proportion of the population is greater than 0.62.
4. \( \circ \) **D.** Reject \( H_0 \). There is insufficient evidence at the \( \alpha = 0.01 \) level of significance to conclude that the true proportion of the population is greater than 0.62.
\[
\text{b. Test } H_0: p = 0
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