A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 298 people over the age of​ 55, 62 dream in black and​ white, and among 282 people under the age of​ 25, 20 dream in black and white. Use a 0.01 significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. Complete parts​ (a) through​ (c) below.   a) Determine the hypothesis, Test statistic, and P-value b)Test the claim by constructing an appropriate confidence interval. c) An explanation given for the results is that those over the age of 55 grew up exposed to media that was mostly displayed in black and white. Can these results be used to verify that​ explanation? Use this information to determine whether the results can be used to verify the black and white media explanation.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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A study was conducted to determine the proportion of people who dream in black and white instead of color. Among

298

people over the age of​ 55,

62

dream in black and​ white, and among

282

people under the age of​ 25,

20

dream in black and white. Use a

0.01

significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. Complete parts​ (a) through​ (c) below.

 

a) Determine the hypothesis, Test statistic, and P-value

b)Test the claim by constructing an appropriate confidence interval.

c) An explanation given for the results is that those over the age of 55 grew up exposed to media that was mostly displayed in black and white. Can these results be used to verify that​ explanation? Use this information to determine whether the results can be used to verify the black and white media explanation.

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