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Suppose that a software development team released an update to one of their mobile applications after receiving complaints about the previous version from 9.8% of their customers. A few weeks after the update was released, the development team wanted to know if fewer customers had complaints. The team selected a random sample of 250 customers and found that 16 of them submitted complaints about the application after the update was released. The team wants to use a one-sample z-test for a population proportion to see if the proportion of customers with complaints, p, has decreased since they released the update. For this test, they plan to use a significance level of a = 0.05. Have the requirements for a one-sample z-test for a proportion been met? If the requirements have not been met, leave the rest of the questions blank. No, because there are two samples, the customers who complained before the update and the customers who complained after. No, because the population standard deviation is unknown. Yes, because the sample is random and the setting is binomial. Yes, because the sample is random, the setting is binomial, and the sample includes enough successes and failures. Form the the null (Ho) and alternative (H₁) hypotheses for this test. H₁: Ho: Determine the value of the z-test statistic. Give your answer precise to at least three decimal places.

Suppose that a software development team released an update to one of their mobile applications after receiving complaints about the previous version from 9.8% of their customers. A few weeks after the update was released, the development team wanted to know if fewer customers had complaints. The team selected a random sample of 250 customers and found that 16 of them submitted complaints about the application after the update was released. The team wants to use a one-sample z-test for a population proportion to see if the proportion of customers with complaints, p, has decreased since they released the update. For this test, they plan to use a significance level of a = 0.05. Have the requirements for a one-sample z-test for a proportion been met? If the requirements have not been met, leave the rest of the questions blank. No, because there are two samples, the customers who complained before the update and the customers who complained after. No, because the population standard deviation is unknown. Yes, because the sample is random and the setting is binomial. Yes, because the sample is random, the setting is binomial, and the sample includes enough successes and failures. Form the the null (Ho) and alternative (H₁) hypotheses for this test. H₁: Ho: Determine the value of the z-test statistic. Give your answer precise to at least three decimal places.

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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Suppose that a software development team released an update to one of their mobile applications after receiving complaints about the previous version from 9.8% of their customers. A few weeks after the update was released, the development team wanted to know if fewer customers had complaints. The team selected a random sample of 250 customers and found that 16 of them submitted complaints about the application after the update was released. The team wants to use a one-sample z-test for a population proportion to see if the proportion of customers with complaints, p, has decreased since they released the update. For this test, they plan to use a significance level of a = 0.05. Have the requirements for a one-sample z-test for a proportion been met? If the requirements have not been met, leave the rest of the questions blank. No, because there are two samples, the customers who complained before the update and the customers who complained after. No, because the population standard deviation is unknown. Yes, because the sample is random and the setting is binomial. Yes, because the sample is random, the setting is binomial, and the sample includes enough successes and failures. Form the the null (Ho) and alternative (H₁) hypotheses for this test. Ho: H₁: Determine the value of the z-test statistic. Give your answer precise to at least three decimal places.
Transcribed Image Text:Suppose that a software development team released an update to one of their mobile applications after receiving complaints about the previous version from 9.8% of their customers. A few weeks after the update was released, the development team wanted to know if fewer customers had complaints. The team selected a random sample of 250 customers and found that 16 of them submitted complaints about the application after the update was released. The team wants to use a one-sample z-test for a population proportion to see if the proportion of customers with complaints, p, has decreased since they released the update. For this test, they plan to use a significance level of a = 0.05. Have the requirements for a one-sample z-test for a proportion been met? If the requirements have not been met, leave the rest of the questions blank. No, because there are two samples, the customers who complained before the update and the customers who complained after. No, because the population standard deviation is unknown. Yes, because the sample is random and the setting is binomial. Yes, because the sample is random, the setting is binomial, and the sample includes enough successes and failures. Form the the null (Ho) and alternative (H₁) hypotheses for this test. Ho: H₁: Determine the value of the z-test statistic. Give your answer precise to at least three decimal places.
Z = Determine the critical value, za, for this test. Give your answer precise to at least three decimal places. Zα = Should the software developers reject their null hypothesis? No, there is insufficient evidence (p > 0.05) that the proportion of customers with complaints about the update is less than 0.098. Yes, there is insufficient evidence (p > 0.05) that the proportion of customers with complaints about the update is less than 0.098. Yes, there is sufficient evidence (p < 0.05) that the proportion of customers with complaints about the update is less than 0.098. O No, there is sufficient evidence (p < 0.05) that the proportion of customers with complaints about the update is less than 0.098.
Transcribed Image Text:Z = Determine the critical value, za, for this test. Give your answer precise to at least three decimal places. Zα = Should the software developers reject their null hypothesis? No, there is insufficient evidence (p > 0.05) that the proportion of customers with complaints about the update is less than 0.098. Yes, there is insufficient evidence (p > 0.05) that the proportion of customers with complaints about the update is less than 0.098. Yes, there is sufficient evidence (p < 0.05) that the proportion of customers with complaints about the update is less than 0.098. O No, there is sufficient evidence (p < 0.05) that the proportion of customers with complaints about the update is less than 0.098.
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