A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 313 people over the age of 55, 77 dream in black and white, and among 292 people under the age of 25, 15 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. verty and . Z= (Round to two decimal places as needed.) Identify the P-value. P-value= (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? The P-value is the significance level of α = 0.01, so the null hypothesis. There is the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. evidence to support the claim that
A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 313 people over the age of 55, 77 dream in black and white, and among 292 people under the age of 25, 15 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. verty and . Z= (Round to two decimal places as needed.) Identify the P-value. P-value= (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? The P-value is the significance level of α = 0.01, so the null hypothesis. There is the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. evidence to support the claim that
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Problem 1P
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![A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 313 people over the age of 55, 77 dream in
black and white, and among 292 people under the age of 25, 15 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.
Tucrury u
Z=
(Round to two decimal places as needed.)
Identify the P-value.
P-value=
(Round to three decimal places as needed.)
What is the conclusion based on the hypothesis test?
The P-value is
the significance level of α = 0.01, so
the null hypothesis. There is
the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25.
evidence to support the claim that](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F381c88fc-86c8-43b0-81f2-55a4fcd1abcd%2F0d8d3964-cbc9-4ad6-904b-b04e3bdd5c63%2Ffl6ujf_processed.jpeg&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 313 people over the age of 55, 77 dream in
black and white, and among 292 people under the age of 25, 15 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.
Tucrury u
Z=
(Round to two decimal places as needed.)
Identify the P-value.
P-value=
(Round to three decimal places as needed.)
What is the conclusion based on the hypothesis test?
The P-value is
the significance level of α = 0.01, so
the null hypothesis. There is
the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25.
evidence to support the claim that
![A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 313 people over the age of 55, 77 dream in
black and white, and among 292 people under the age of 25, 15 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.
b. Test the claim by constructing an appropriate confidence interval.
The 98% confidence interval is < (P₁-P₂) <
(Round to three decimal places as needed.)
What is the conclusion based on the confidence interval?
Because the confidence interval limits
0, it appears that the two proportions are
values, it appears that the proportion of people over 55 who dream in black and white is
Because the confidence interval limits include
proportion for those under 25.
the
c. An explanation for the results is that those over the age of 55 grew up exposed to media that was displayed in black and white. Can these results be used
to verify that explanation?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F381c88fc-86c8-43b0-81f2-55a4fcd1abcd%2F0d8d3964-cbc9-4ad6-904b-b04e3bdd5c63%2F3cfnlfj_processed.jpeg&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 313 people over the age of 55, 77 dream in
black and white, and among 292 people under the age of 25, 15 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.
b. Test the claim by constructing an appropriate confidence interval.
The 98% confidence interval is < (P₁-P₂) <
(Round to three decimal places as needed.)
What is the conclusion based on the confidence interval?
Because the confidence interval limits
0, it appears that the two proportions are
values, it appears that the proportion of people over 55 who dream in black and white is
Because the confidence interval limits include
proportion for those under 25.
the
c. An explanation for the results is that those over the age of 55 grew up exposed to media that was displayed in black and white. Can these results be used
to verify that explanation?
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