any companies want to target teenagers in advertisements by taking advantage of teenagers being glued to social media.  But where to advertise to teens on Social Media?   A popular brand among teens decided to target this demographic on two popular sites, YouTube and Instagram. A random samples of teenagers was selected and for each we recorded two things, whether or not they clicked on the advertisement and the social media platform. Given that YouTube seems to be less popular among this demographic, we speculated that the response rate would be lower for YouTube users compared to Instagram users.   Population 1: all teenage YouTube users who clicked on the advertisement.  Population 2: all teenage Instagram users who clicked on the advertisement.  The significance level is set to 5%. The results of the study are summarized below. Social Media Site Sample size Number who clicked on ad 1 = YouTube 207 104

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Many companies want to target teenagers in advertisements by taking advantage of teenagers being glued to social media.  But where to advertise to teens on Social Media?   A popular brand among teens decided to target this demographic on two popular sites, YouTube and Instagram. A random samples of teenagers was selected and for each we recorded two things, whether or not they clicked on the advertisement and the social media platform. Given that YouTube seems to be less popular among this demographic, we speculated that the response rate would be lower for YouTube users compared to Instagram users.  

  • Population 1: all teenage YouTube users who clicked on the advertisement. 
  • Population 2: all teenage Instagram users who clicked on the advertisement. 

The significance level is set to 5%. The results of the study are summarized below.

Social Media Site Sample size Number who clicked on ad
1 = YouTube 207 104
2 = Instagram 213 109

 

Read the following information and answer the subquestions 7.d and 7.e

7.d
Suppose the two population proportions are equal, that is assume that the proportion of all teenage YouTube users who clicked on the advertisement
equals the proportion of all teenage Instagram users who clicked on the advertisement.
If we were to repeat this study 120 times, each time taking independent random samples of the same size, conducting the same hypothesis test at the
same signficance level (previously stated to be 5%), then how many decisions would we expect to be incorrect?
5%
60
6.
None
Can't be determined.
Transcribed Image Text:7.d Suppose the two population proportions are equal, that is assume that the proportion of all teenage YouTube users who clicked on the advertisement equals the proportion of all teenage Instagram users who clicked on the advertisement. If we were to repeat this study 120 times, each time taking independent random samples of the same size, conducting the same hypothesis test at the same signficance level (previously stated to be 5%), then how many decisions would we expect to be incorrect? 5% 60 6. None Can't be determined.
7.e
The p-value is 0.4242, at a 5% significance level, we fail to reject Ho (we are not able to reject Ho), the results are not statistically significant.
What can be said about the statistical decision in this study. Select all the statements that apply.
The decision to fail to reject Ho is correct, since appropriate test procedure has been used.
The decision to fail to reject Ho may or may not be correct, and if it is incorrect, then Type I Error has been made.
The decision to fail to reject Ho may or may not be correct, and if it is incorrect, then a Type II Error has been made.
The probability that the statistical decision made in this study has resulted in a Type I Error is 0.05.
The probability that the statistical decision made in this study has resulted in a Type I Error is 0.
Transcribed Image Text:7.e The p-value is 0.4242, at a 5% significance level, we fail to reject Ho (we are not able to reject Ho), the results are not statistically significant. What can be said about the statistical decision in this study. Select all the statements that apply. The decision to fail to reject Ho is correct, since appropriate test procedure has been used. The decision to fail to reject Ho may or may not be correct, and if it is incorrect, then Type I Error has been made. The decision to fail to reject Ho may or may not be correct, and if it is incorrect, then a Type II Error has been made. The probability that the statistical decision made in this study has resulted in a Type I Error is 0.05. The probability that the statistical decision made in this study has resulted in a Type I Error is 0.
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