A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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Because the confidence interval limits
v 0, it appears that the two proportions are
V Because the confidence interval limits include
V values, it appears that the
proportion of people over 55 who dream in black and white is
V 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?
O 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 cannot be used to verify the cause of such a
difference.
O 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 are not statistically significant enough to verify the
cause of such a difference.
O C. Yes. The results can be used to verify the given explanation because
difference in proportions is statistically significant.
O D. Yes. The results can be used to verify the given explanation because the difference in proportions is practically significant.
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Transcribed Image Text:Because the confidence interval limits v 0, it appears that the two proportions are V Because the confidence interval limits include V values, it appears that the proportion of people over 55 who dream in black and white is V 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? O 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 cannot be used to verify the cause of such a difference. O 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 are not statistically significant enough to verify the cause of such a difference. O C. Yes. The results can be used to verify the given explanation because difference in proportions is statistically significant. O D. Yes. The results can be used to verify the given explanation because the difference in proportions is practically significant.
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, 73 dream in black and white, and among 315 people under the
age of 25, 18 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.
What is the conclusion based on the hypothesis test?
V the null hypothesis. There is
V evidence to support the claim that the proportion of people over 55 who dream in black
The P-value is
V the significance level of a = 0.01, so
and white is greater than the proportion for those under 25.
b. Test the claim by constructing an appropriate confidence interval.
The 98% confidence interval is< (P, -P2) <U.
(Round to three decimal places as needed.)
What is the conclusion based on the confidence interval?
V Because the confidence interval limits include
v values, it appears that the
Because the confidence interval limits
V 0, it appears that the two proportions are
the proportion for those under 25.
proportion of people over 55 who dream in black and white is
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?
cause the confidence interval limits
V 0, it appears that the two proportions are|
Because the confidence interval limits include
V values, it appears that the
the proportion for those under 25.
pportion of people over 55 who dream in black and white is
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?
O 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 cannot be used 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 are not statistically significant enough to verify the
cause of such a difference.
O C. Yes. The results can be used to verify the given explanation because the difference in proportions is statistically significant.
O D. Yes. The results can be used to verify the given explanation because the difference in proportions is practically significant.
expand button
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, 73 dream in black and white, and among 315 people under the age of 25, 18 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. What is the conclusion based on the hypothesis test? V the null hypothesis. There is V evidence to support the claim that the proportion of people over 55 who dream in black The P-value is V the significance level of a = 0.01, so and white is greater than the proportion for those under 25. b. Test the claim by constructing an appropriate confidence interval. The 98% confidence interval is< (P, -P2) <U. (Round to three decimal places as needed.) What is the conclusion based on the confidence interval? V Because the confidence interval limits include v values, it appears that the Because the confidence interval limits V 0, it appears that the two proportions are the proportion for those under 25. proportion of people over 55 who dream in black and white is 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? cause the confidence interval limits V 0, it appears that the two proportions are| Because the confidence interval limits include V values, it appears that the the proportion for those under 25. pportion of people over 55 who dream in black and white is 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? O 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 cannot be used 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 are not statistically significant enough to verify the cause of such a difference. O C. Yes. The results can be used to verify the given explanation because the difference in proportions is statistically significant. O D. Yes. The results can be used to verify the given explanation because the difference in proportions is practically significant.
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