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7.39 und to two decimal places as needed.) mtify the P-value. alue = .000 und to three decimal places as needed.) at is the conclusion based on the hypothesis test? P-value is less than 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 portion for those under 25. Test the claim by constructing an appropriate confidence interval. 98% confidence interval is .147 < (P, -P2) < .270. und to three decimal places as needed.) at is the conclusion based on the confidence interval? cause the confidence interval limits do not include 0, it appears that the two proportions are not equal. Because the confidence interval limits include only positive values, it appears that the proportion of people over 55 who am in black and white is greater than the proportion for those under 25.

7.39 und to two decimal places as needed.) mtify the P-value. alue = .000 und to three decimal places as needed.) at is the conclusion based on the hypothesis test? P-value is less than 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 portion for those under 25. Test the claim by constructing an appropriate confidence interval. 98% confidence interval is .147 < (P, -P2) < .270. und to three decimal places as needed.) at is the conclusion based on the confidence interval? cause the confidence interval limits do not include 0, it appears that the two proportions are not equal. Because the confidence interval limits include only positive values, it appears that the proportion of people over 55 who am in black and white is greater than the proportion for those under 25.

MATLAB: An Introduction with Applications
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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A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 290 people over the age of 55, 72 dream in black and white, and among 289 people under the age of 25, 12 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: P1 = P2 H1: P1 > P2 B. Họ: P1 = P2 H1: P1 #P2 C. Ho: P1 <P2 H1: P1 #P2 O D. Ho: P1 2P2 H1: P1 #P2 O E. Ho: P1 = P2 H1: P1 <P2 O F. Ho: P1 # P2 H1: P1 = P2
Transcribed Image Text:A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 290 people over the age of 55, 72 dream in black and white, and among 289 people under the age of 25, 12 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: P1 = P2 H1: P1 > P2 B. Họ: P1 = P2 H1: P1 #P2 C. Ho: P1 <P2 H1: P1 #P2 O D. Ho: P1 2P2 H1: P1 #P2 O E. Ho: P1 = P2 H1: P1 <P2 O F. Ho: P1 # P2 H1: P1 = P2
Identify the test statistic. z= 7.39 (Round to two decimal places as needed.) Identify the P-value. P-value = .000 (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? The P-value is less than 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 proportion for those under 25. b. Test the claim by constructing an appropriate confidence interval. (P1 - P2) < (Round to three decimal places as needed.) The 98% confidence interval is .147 < < .270 . What is the conclusion based on the confidence interval? Because the confidence interval limits do not include 0, it appears that the two proportions are not equal. Because the confidence interval limits include only positive values, it appears that the proportion of people over 55 who dream in black and white is greater than 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? A. No. The results speak to a possible difference between the proportions of people over 55 and under 25 who dream in black and white, but the results are not statistically significant enough to verify the cause of such a difference. B. No. The results speak to a possible difference between the proportions of people over 55 and under 25 who dream in black and white, but the results cannot be used to verify the cause of such a difference. C. Yes. The results can be used to verify the given explanation because the difference in proportions is statistically significant.
Transcribed Image Text:Identify the test statistic. z= 7.39 (Round to two decimal places as needed.) Identify the P-value. P-value = .000 (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? The P-value is less than 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 proportion for those under 25. b. Test the claim by constructing an appropriate confidence interval. (P1 - P2) < (Round to three decimal places as needed.) The 98% confidence interval is .147 < < .270 . What is the conclusion based on the confidence interval? Because the confidence interval limits do not include 0, it appears that the two proportions are not equal. Because the confidence interval limits include only positive values, it appears that the proportion of people over 55 who dream in black and white is greater than 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? A. No. The results speak to a possible difference between the proportions of people over 55 and under 25 who dream in black and white, but the results are not statistically significant enough to verify the cause of such a difference. B. No. The results speak to a possible difference between the proportions of people over 55 and under 25 who dream in black and white, but the results cannot be used to verify the cause of such a difference. C. Yes. The results can be used to verify the given explanation because the difference in proportions is statistically significant.
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