A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 295 people over the age of 55, 74 dream in black and white, and among 292 people under the age of 25, 14 dream in black and white. Use a 0.05 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? OA. Ho: P₁ P₂ H₁: P₁ P2 OD. Ho: P₁ P₂ H₁: P₁ P2 Identify the test statistic. 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 a = 0.05, so b. Test the claim by constructing an appropriate confidence interval. The 90% confidence interval is < (P₁-P₂) < (Round to three decimal places as needed.) What is the conclusion based on the confidence interval? OB. Ho: P₁ P₂ H₁: P₁ P2 Because the confidence interval limits OE. Ho: P₁ P₂ H₁: P₁ P2 the null hypothesis. There is ▼0, it appears that the two proportions are the proportion for those under 25. 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? OC. Ho: P₁ P₂ H₁: P₁ = P₂ evidence support the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. Because the confidence interval limits include OF. Ho: P₁ P₂ H₁: P₁ P2 values, it appears that the proportion of people over 55 who dream in black and white is
A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 295 people over the age of 55, 74 dream in black and white, and among 292 people under the age of 25, 14 dream in black and white. Use a 0.05 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? OA. Ho: P₁ P₂ H₁: P₁ P2 OD. Ho: P₁ P₂ H₁: P₁ P2 Identify the test statistic. 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 a = 0.05, so b. Test the claim by constructing an appropriate confidence interval. The 90% confidence interval is < (P₁-P₂) < (Round to three decimal places as needed.) What is the conclusion based on the confidence interval? OB. Ho: P₁ P₂ H₁: P₁ P2 Because the confidence interval limits OE. Ho: P₁ P₂ H₁: P₁ P2 the null hypothesis. There is ▼0, it appears that the two proportions are the proportion for those under 25. 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? OC. Ho: P₁ P₂ H₁: P₁ = P₂ evidence support the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. Because the confidence interval limits include OF. Ho: P₁ P₂ H₁: P₁ P2 values, it appears that the proportion of people over 55 who dream in black and white is
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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Transcribed Image Text:A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 295 people over the age of 55, 74 dream in black and white, and among 292 people under the age of 25, 14 dream in black and white. Use a 0.05 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?
O A. Ho: P₁²P₂
H₁: P₁ P2
O D. Ho: P₁ = P2
H₁: P₁ P2
Identify the test statistic.
(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 significance level of a = 0.05, so
b. Test the claim by constructing an appropriate confidence interval.
The 90% confidence interval is
(Round to three decimal places as needed.)
What is the conclusion based on the confidence interval?
The P-value is
< (P₁-P₂) <.
Because the confidence interval limits
O B.
Ho: P1 P2
H₁: P1 <P2
O E. Ho: P₁ P₂
H₁: P₁ P₂
C
the null hypothesis. There is
0, it appears that the two proportions are
the proportion for those under 25.
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?
Because the confidence interval limits include
OC. Ho: P₁ P₂
H₁: P₁ P2
evidence to support the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25.
OF. Ho: P₁ P2
H₁: P₁ P2
▼values, it appears that the proportion of people over 55 who dream in black and white is
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