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A researcher thinks that the proportion of people who have cheated on a test has increased since the Covid outbreak. The researcher uses a report from before the Covid outbreak which reported that the proportion of people who have cheated on a test was 64%. The researcher randomly selects 500 participants and collects data in a similar way and finds that 360 of the participants say they have cheated on a test. The researcher wants to do a hypothesis test with a level of significance of 5% to test his claim. a. What conditions should be checked in this situation? Are these conditions met? b. What is the null hypothesis? c. What is the alternate hypothesis? d. What p-value do you get from this hypothesis test? Write your answer as a percentage rounded to two decimal places. e. Do you reject or fail to reject the null hypothesis? f. What conclusion can you make about the proportion of people who have cheated?

A researcher thinks that the proportion of people who have cheated on a test has increased since the Covid outbreak. The researcher uses a report from before the Covid outbreak which reported that the proportion of people who have cheated on a test was 64%. The researcher randomly selects 500 participants and collects data in a similar way and finds that 360 of the participants say they have cheated on a test. The researcher wants to do a hypothesis test with a level of significance of 5% to test his claim. a. What conditions should be checked in this situation? Are these conditions met? b. What is the null hypothesis? c. What is the alternate hypothesis? d. What p-value do you get from this hypothesis test? Write your answer as a percentage rounded to two decimal places. e. Do you reject or fail to reject the null hypothesis? f. What conclusion can you make about the proportion of people who have cheated?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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A researcher thinks that the proportion of people who have cheated on a test has increased since the Covid outbreak. The researcher uses a report from before the Covid outbreak which reported that the proportion of people who have cheated on a test was 64%. The researcher randomly selects 500 participants and collects data in a similar way and finds that 360 of the participants say they have cheated on a test. The researcher wants to do a hypothesis test with a level of significance of 5% to test his claim. a. What conditions should be checked in this situation? Are these conditions met? b. What is the null hypothesis? c. What is the alternate hypothesis? d. What p-value do you get from this hypothesis test? Write your answer as a percentage rounded to two decimal places. e. Do you reject or fail to reject the null hypothesis? f. What conclusion can you make about the proportion of people who have cheated?
Transcribed Image Text:A researcher thinks that the proportion of people who have cheated on a test has increased since the Covid outbreak. The researcher uses a report from before the Covid outbreak which reported that the proportion of people who have cheated on a test was 64%. The researcher randomly selects 500 participants and collects data in a similar way and finds that 360 of the participants say they have cheated on a test. The researcher wants to do a hypothesis test with a level of significance of 5% to test his claim. a. What conditions should be checked in this situation? Are these conditions met? b. What is the null hypothesis? c. What is the alternate hypothesis? d. What p-value do you get from this hypothesis test? Write your answer as a percentage rounded to two decimal places. e. Do you reject or fail to reject the null hypothesis? f. What conclusion can you make about the proportion of people who have cheated?
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