A published report claims that 35% of college students have used an online dating site or app.  Believing this claimed value is too low, a researcher surveys a random sample of n = 420 college students about their experiences with online dating sites and apps.  A total of 166 of the surveyed students indicate that they have used online dating sites or apps.   Use this information to conduct a hypothesis test at a significance (or alpha) level of 0.05.   1.Based on the test statistic you computed to answer Question 11, along with what you see in Table B, what should the P-value be? 2. Based on the P-value you obtained and how it compares to the significance level of 0.05, what is your conclusion?  3. Look again at your answer to Question 13. If a smaller significance level had been chosen—like 0.01—would you have reached a different conclusion?   Please explain. 4. Again, look back at how you answered Question 13. If a larger significance level had been chosen—like 0.10—would you have reached a different conclusion?   Please explain.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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A published report claims that 35% of college students have used an online dating site or app.  Believing this claimed value is too low, a researcher surveys a random sample of n = 420 college students about their experiences with online dating sites and apps.  A total of 166 of the surveyed students indicate that they have used online dating sites or apps.   Use this information to conduct a hypothesis test at a significance (or alpha) level of 0.05.

 

1.Based on the test statistic you computed to answer Question 11, along with what you see in Table B, what should the P-value be?

2. Based on the P-value you obtained and how it compares to the significance level of 0.05, what is your conclusion? 

3. Look again at your answer to Question 13. If a smaller significance level had been chosen—like 0.01—would you have reached a different conclusion?   Please explain.

4. Again, look back at how you answered Question 13. If a larger significance level had been chosen—like 0.10—would you have reached a different conclusion?   Please explain.

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