5. [Facebookj An Internet survey asked 525 Facebook users whether the amount of time they spent using Facebook wa increased over the past year. The response of the survey is “Increase" , with values “Yes" and “No". Additionally gender information was collected in the survey. The data is summarized in the following table. Gender X p= X/n n Female 292 47 0.1610 Male 233 21 0.0901 Total 525 68 0.1295 In the table, the n column gives the sample size for each group, X column gives the number of users wh increased their use of Facebook over the past year, and p column gives the sample proportion. Find the 95% confidence interval for the difference between the proportion of female and that o (a) male who increased their time spent on Facebook over the past year. Keep the 4th decimal place in you

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 3E
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5. [Facebook
An Internet survey asked 525 Facebook users whether the amount of time they spent using Facebook was
increased over the past year. The response of the survey is "Increase", with values "Yes" and "No". Additionally,
gender information was collected in the survey. The data is summarized in the following table.
Gender
X p= X/n
n
Female
292
47
0.1610
Male
233
21
0.0901
Total
525
68
0.1295
In the table, the n column gives the sample size for each group, X column gives the number of users who
increased their use of Facebook over the past year, and p column gives the sample proportion.
(a)
male who increased their time spent on Facebook over the past year. Keep the 4th decimal place in your
numerical answer.
Find the 95% confidence interval for the difference between the proportion of female and that of
It was claimed that the proportion who increased the time spent on Facebook over the past year
(b)
would be higher for female than for male. Do you think the data support such claim? Do a hypotheses
test to support your conclusion. Choose the significance level to be 0.01.
Transcribed Image Text:5. [Facebook An Internet survey asked 525 Facebook users whether the amount of time they spent using Facebook was increased over the past year. The response of the survey is "Increase", with values "Yes" and "No". Additionally, gender information was collected in the survey. The data is summarized in the following table. Gender X p= X/n n Female 292 47 0.1610 Male 233 21 0.0901 Total 525 68 0.1295 In the table, the n column gives the sample size for each group, X column gives the number of users who increased their use of Facebook over the past year, and p column gives the sample proportion. (a) male who increased their time spent on Facebook over the past year. Keep the 4th decimal place in your numerical answer. Find the 95% confidence interval for the difference between the proportion of female and that of It was claimed that the proportion who increased the time spent on Facebook over the past year (b) would be higher for female than for male. Do you think the data support such claim? Do a hypotheses test to support your conclusion. Choose the significance level to be 0.01.
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