4. A random survey was conducted in order to determine whether the recent campaign to pro- mote newspaper recycling is effective. Out of a sample of 200 households in the town, there were 160 households that recycled their newspapers. Before the campaign, 70% of households in the town recycled their newspapers. (a) Construct 95% confidence interval for the percentage of the households that recycled their newspaper. (b) Are there any substantial evidence that the new campaign is effective? Answer the question at significant level 5 % by i) stating the null hypothesis and alternative hypothesis; ii) computing the observed significant level (P-Value). (c) What is the power of the test in (c) at p = .75?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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4. A random survey was conducted in order to determine whether the recent campaign to pro-
mote newspaper recycling is effective. Out of a sample of 200 households in the town, there
were 160 households that recycled their newspapers. Before the campaign, 70% of households
in the town recycled their newspapers.
(a) Construct 95% confidence interval for the percentage of the households that recycled
their newspaper.
(b) Are there any substantial evidence that the new campaign is effective? Answer the
question at significant level 5 % by
i) stating the null hypothesis and alternative hypothesis;
ii) computing the observed significant level (P-Value).
(c) What is the power of the test in (c) at p = .75?
Transcribed Image Text:4. A random survey was conducted in order to determine whether the recent campaign to pro- mote newspaper recycling is effective. Out of a sample of 200 households in the town, there were 160 households that recycled their newspapers. Before the campaign, 70% of households in the town recycled their newspapers. (a) Construct 95% confidence interval for the percentage of the households that recycled their newspaper. (b) Are there any substantial evidence that the new campaign is effective? Answer the question at significant level 5 % by i) stating the null hypothesis and alternative hypothesis; ii) computing the observed significant level (P-Value). (c) What is the power of the test in (c) at p = .75?
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