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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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Read the following prompt and complete the subquestions 7.a, 7.b, and 7.c

Transcribed Image Text: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 Question 7 Subquestions 7.a We set up the null hypothesis as Ho: p1 = P2. Select the appropriate alternative hypothesis. Ha: P1 < P2 Ha: P1 > P2 Ha: P1 # P2

7.b
The test statistic is computed assuming the null hypothesis is true, that is, P1 = P2 = p. Which of the following is the best estimate of that common
population proportion p?
0.5071
0.5266
0.5024
0.5117
7.c
The p-value is 0.4242, at a 5% significance level, the statistical decision is to fail to reject Ho, the results are not statistically significant.
What can be said about the p-value 0.4242? Provide an interpretation of the p-value in context.
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