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A random sample of 100 observations is selected from a binomial population with unknown probability of success, p. The computed value of 19 '' c. Test Ho: p = 0.92 against Ha: p *0.92. Use α = 0.05. Find the rejection region for the test. Choose the correct answer below. OA. z<-1.96 or z> 1.96 OC. z> 1.645 OE. z> 1.96 Calculate the value of the test statistic. Z= (Round to two decimal places as needed.) Make the appropriate conclusion. Choose the correct answer below. d. Form a 95% confidence interval for p. (Round to two decimal places as needed.) O A. Do not reject Ho. There is sufficient evidence at the x = 0.05 level of significance to conclude that the true proportion of the population is not equal to 0.92. OB. Reject Ho. There is sufficient evidence at the a= 0.05 level of significance to conclude that the true proportion of the population is not equal to 0.92. OC. Do not reject Ho. There is insufficient evidence at the a= 0.05 level of significance to conclude that the true proportion of the population is not equal to 0.92. O D. Reject Ho. There is insufficient evidence at the x = 0.05 level of significance to conclude that the true proportion of the population is not equal to 0.92. e. Form a 99% confidence interval for p. I (Round two decimal places as needed.) Pup OB. z<-1.96 OD. z< -1.645 or z> 1.645 OF. z<-1.645

A random sample of 100 observations is selected from a binomial population with unknown probability of success, p. The computed value of 19 '' c. Test Ho: p = 0.92 against Ha: p *0.92. Use α = 0.05. Find the rejection region for the test. Choose the correct answer below. OA. z<-1.96 or z> 1.96 OC. z> 1.645 OE. z> 1.96 Calculate the value of the test statistic. Z= (Round to two decimal places as needed.) Make the appropriate conclusion. Choose the correct answer below. d. Form a 95% confidence interval for p. (Round to two decimal places as needed.) O A. Do not reject Ho. There is sufficient evidence at the x = 0.05 level of significance to conclude that the true proportion of the population is not equal to 0.92. OB. Reject Ho. There is sufficient evidence at the a= 0.05 level of significance to conclude that the true proportion of the population is not equal to 0.92. OC. Do not reject Ho. There is insufficient evidence at the a= 0.05 level of significance to conclude that the true proportion of the population is not equal to 0.92. O D. Reject Ho. There is insufficient evidence at the x = 0.05 level of significance to conclude that the true proportion of the population is not equal to 0.92. e. Form a 99% confidence interval for p. I (Round two decimal places as needed.) Pup OB. z<-1.96 OD. z< -1.645 or z> 1.645 OF. z<-1.645

MATLAB: An Introduction with Applications
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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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 0.73. Complete parts a through e. c. Test Ho: p=0.92 against H₂: p*0.92. Use α = 0.05. Find the rejection region for the test. Choose the correct answer below. OA. z< -1.96 or z> 1.96 OC. z> 1.645 OE. z> 1.96 Calculate the value of the test statistic. Z= (Round to two decimal places as needed.) Make the appropriate conclusion. Choose the correct answer below. O A. Do not reject Ho. There is sufficient evidence at the x = 0.05 level of significance to conclude that the true proportion of the population is not equal to 0.92. OB. Reject Ho. There is sufficient evidence at the α = 0.05 level of significance to conclude that the true proportion of the population is not equal to 0.92. OC. Do not reject Ho. There is insufficient evidence at the a= 0.05 level of significance to conclude that the true proportion of the population is not equal to 0.92. O D. Reject Ho. There is insufficient evidence at the x = 0.05 level of significance to conclude that the true proportion of the population is not equal to 0.92. d. Form a 95% confidence interval for p. (Round to two decimal places as needed.) e. Form a 99% confidence interval for p. OB. z< -1.96 OD. z<-1.645 or z> 1.645 OF. z<-1.645 (Round two decimal places as needed.)
Transcribed Image Text: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 0.73. Complete parts a through e. c. Test Ho: p=0.92 against H₂: p*0.92. Use α = 0.05. Find the rejection region for the test. Choose the correct answer below. OA. z< -1.96 or z> 1.96 OC. z> 1.645 OE. z> 1.96 Calculate the value of the test statistic. Z= (Round to two decimal places as needed.) Make the appropriate conclusion. Choose the correct answer below. O A. Do not reject Ho. There is sufficient evidence at the x = 0.05 level of significance to conclude that the true proportion of the population is not equal to 0.92. OB. Reject Ho. There is sufficient evidence at the α = 0.05 level of significance to conclude that the true proportion of the population is not equal to 0.92. OC. Do not reject Ho. There is insufficient evidence at the a= 0.05 level of significance to conclude that the true proportion of the population is not equal to 0.92. O D. Reject Ho. There is insufficient evidence at the x = 0.05 level of significance to conclude that the true proportion of the population is not equal to 0.92. d. Form a 95% confidence interval for p. (Round to two decimal places as needed.) e. Form a 99% confidence interval for p. OB. z< -1.96 OD. z<-1.645 or z> 1.645 OF. z<-1.645 (Round two decimal places as needed.)
Expert Solution
Step 1: Determine the given varaibles.

The question is about hypothesis testing and confidence interval.

Given :

Randomly selected no. of observations ( n ) = 100

Value of sample proportion ( p with hat on top ) = 0.73

Hypotheses :

H subscript 0 space colon space p space equals space 0.92 H subscript a space colon space p space not equal to space 0.92


To find :

c ) Test the given hypothesis.

d ) 95% confidence interval for p

e ) 99% confidence interval for p

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