A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 316 people over the age of 55, 80 dream in black and white, and among 288 people under the age of 25, 13 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. Test the claim using a hypothesis test. Consider the first sample to be the sample of people over the age of 55 and the second sample to be the sample of people under the age of 25. What are the null and alternative hypotheses for the hypothesis test? OC. Ho: P1 2 P2 O B. Ho P1 =P2 H: P1 P2 O D. Ho P1 S P2 H,: P, ÉP2 Identify the test statistic. (Round to two decimal places as needed.)
A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 316 people over the age of 55, 80 dream in black and white, and among 288 people under the age of 25, 13 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. Test the claim using a hypothesis test. Consider the first sample to be the sample of people over the age of 55 and the second sample to be the sample of people under the age of 25. What are the null and alternative hypotheses for the hypothesis test? OC. Ho: P1 2 P2 O B. Ho P1 =P2 H: P1 P2 O D. Ho P1 S P2 H,: P, ÉP2 Identify the test statistic. (Round to two decimal places as needed.)
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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Question
Identify the test statistic.
Identify the P-value
construct the 98% confidence interval for p1−p2
![A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 316 people over the age of 55, 80 dream in black and white, and among 288 people under the age of 25, 13 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. Test the claim using a hypothesis test.
Consider the first sample to be the sample of people over the age of 55 and the second sample to be the sample of people under the age of 25. What are the null and alternative hypotheses for the hypothesis test?
Options:
A. \( H_0: p_1 = p_2 \)
\( H_1: p_1 \ne p_2 \)
B. \( H_0: p_1 = p_2 \)
\( H_1: p_1 < p_2 \)
C. \( H_0: p_1 \ne p_2 \)
\( H_1: p_1 = p_2 \)
D. \( H_0: p_1 \le p_2 \)
\( H_1: p_1 \ne p_2 \)
E. \( H_0: p_1 \le p_2 \)
\( H_1: p_1 = p_2 \)
F. \( H_0: p_1 = p_2 \)
\( H_1: p_1 > p_2 \) (Correct option)
Identify the test statistic.
z = [ ]
(Round to two decimal places as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2c1d0954-082a-48c1-b4d7-22ac9f1f697c%2F8686bcba-26ec-46d5-b309-270ae95deff3%2Faofvdew_processed.png&w=3840&q=75)
Transcribed Image Text:A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 316 people over the age of 55, 80 dream in black and white, and among 288 people under the age of 25, 13 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. Test the claim using a hypothesis test.
Consider the first sample to be the sample of people over the age of 55 and the second sample to be the sample of people under the age of 25. What are the null and alternative hypotheses for the hypothesis test?
Options:
A. \( H_0: p_1 = p_2 \)
\( H_1: p_1 \ne p_2 \)
B. \( H_0: p_1 = p_2 \)
\( H_1: p_1 < p_2 \)
C. \( H_0: p_1 \ne p_2 \)
\( H_1: p_1 = p_2 \)
D. \( H_0: p_1 \le p_2 \)
\( H_1: p_1 \ne p_2 \)
E. \( H_0: p_1 \le p_2 \)
\( H_1: p_1 = p_2 \)
F. \( H_0: p_1 = p_2 \)
\( H_1: p_1 > p_2 \) (Correct option)
Identify the test statistic.
z = [ ]
(Round to two decimal places as needed.)
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