-0.000 d to three decimal places as needed.) is the conclusion based on the hypothesis test? value is less than the significance level of a 0.01, so tion for those under 25. reject the null hypothesis. There is sufficient evidence to support the claim that the proportion of people over 55 who dream in black and white is greater than the t the claim by constructing an appropriate confidence interval B% confidence interval is (P"P2) d to three decimal places as needed.)
-0.000 d to three decimal places as needed.) is the conclusion based on the hypothesis test? value is less than the significance level of a 0.01, so tion for those under 25. reject the null hypothesis. There is sufficient evidence to support the claim that the proportion of people over 55 who dream in black and white is greater than the t the claim by constructing an appropriate confidence interval B% confidence interval is (P"P2) d to three 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
Transcribed Image Text:A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 325 people over the age of 55, 66 dream in black and white, and among 313 people under the age of 25, 16 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.
Consider the first sample to be the sample ot people over the age ot 55 and the second sample to be the sample ot people under the age of 25. What are the null and alternative hypotheses for the hypothesis test?
O A. Ho: P1 SP2
H: P1 #P2
O B. Ho: P1 = P2
H: P1<P2
O C. Ho: P1 P2
H: P, P2
YF Ho P1 = P2
O E. Ho: P1 #pP2
Hy: P1 = P2
O D. Ho: P12P2
H: P > P2
H: P P2
Identify the test statistic.
Z 5.73
(Round to two decimal places as needed.)
Identify the P-value.
P-value = 0.000
(Round to three decimal places as needed.)
What is the conclusion based on the hypothesis test?
The P-value is
the significance level of a = 0.01, so
reject
the null hypothesis. There is sufficient evidence to support the claim that the proportion of people over 55 who dream in black and white is greater than the
less than
proportion for those under 25.
b. Test the claim by constructing an appropriate confidence interval.
The 98% confidence interval is<(P,-P2) <
(Round to three decimal places as needed.)
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