d. How many users need to be selected to be 90% confident of being within ; 0.035 of the population proportion who watch the evening content on at least three nights in a month if no previous estimate is available? e. Based on (c) and (d), how many users should the social media publicist select if a single survey is being conducted?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 25PPS
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Only parts d and e will be solved.

A social media publicist working for a popular video game developer company wants to study the social media content viewing habits of Youtube platform users. A random sample of 40 users is selected, and each user is instructed to keep a detailed record of all content viewing in a particular month. The results are as follows:
• Viewing time per month: ? = 15.3 hours, S = 3.8 hours.
• 27 users watch the content published on evening on at least three nights in a month.
a. Construct a 90% confidence interval estimate for the mean amount of content watched per month on Youtube.
b. Construct a 90% confidence interval estimate for the population proportion who watch the evening content on at least three nights per month.
Suppose that the social media publicist wants to take another survey in a different platform. Answer these questions:
c. What sample size is required to be 90% confident of estimating the population mean viewing time to within ± 2 hours assuming that the population standard deviation is equalto five hours?
d. How many users need to be selected to be 90% confident of being within ; 0.035 of the population proportion who watch the evening content on at least three nights in a month if no previous estimate is available?
e. Based on (c) and (d), how many users should the social media publicist select if a single survey is being conducted?

 

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