A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 297 people over the age of 55, 75 dream in black and white, and among 310 people under the age of 25, 19 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. Identify the test statistic. z= 6.51 (Round to two decimal places as needed.) Identify the P-value. P-value = 3.770o (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? The P-value is greater than the significance level of a = 0.05, so fail to reject the null hypothesis. There is insufficient 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. The 90% confidence interval is< (P1 - P2) <]. (Round to three decimal places as needed.) What is the conclusion based on the confidence interval? 0, it appears that the two proportions are Because the Because the confidence interval limits values, it appears that the proportion of people over 55 who dream in confidence interval limits include black and white is 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. Yes. The results can be used to verify the given explanation because the difference in proportions is practically significant. Oc. Yes. The results can be used to verify the given explanation because the difference in proportions is statistically significant. O D. 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.
A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 297 people over the age of 55, 75 dream in black and white, and among 310 people under the age of 25, 19 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. Identify the test statistic. z= 6.51 (Round to two decimal places as needed.) Identify the P-value. P-value = 3.770o (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? The P-value is greater than the significance level of a = 0.05, so fail to reject the null hypothesis. There is insufficient 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. The 90% confidence interval is< (P1 - P2) <]. (Round to three decimal places as needed.) What is the conclusion based on the confidence interval? 0, it appears that the two proportions are Because the Because the confidence interval limits values, it appears that the proportion of people over 55 who dream in confidence interval limits include black and white is 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. Yes. The results can be used to verify the given explanation because the difference in proportions is practically significant. Oc. Yes. The results can be used to verify the given explanation because the difference in proportions is statistically significant. O D. 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.
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 297
people over the age of 55, 75 dream in black and white, and among 310 people under the age of 25, 19 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. Identify the test statistic.
z= 6.51
(Round to two decimal places as needed.)
Identify the P-value.
P-value = 3.770o
(Round to three decimal places as needed.)
What is the conclusion based on the hypothesis test?
The P-value is greater than the significance level of a = 0.05, so fail to reject the null hypothesis. There is insufficient
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.
The 90% confidence interval is< (P1 - P2) <].
(Round to three decimal places as needed.)
What is the conclusion based on the confidence interval?
0, it appears that the two proportions are
Because the
Because the confidence interval limits
values, it appears that the proportion of people over 55 who dream in
confidence interval limits include
black and white is
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. Yes. The results can be used to verify the given explanation because the difference in proportions is practically
significant.
Oc. Yes. The results can be used to verify the given explanation because the difference in proportions is statistically
significant.
O D. 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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8eeb7b97-b429-47a8-9382-494ad20819d1%2Fb63b3074-b7f6-413c-b768-74436b5c1dd9%2Fsansbcu.png&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 297
people over the age of 55, 75 dream in black and white, and among 310 people under the age of 25, 19 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. Identify the test statistic.
z= 6.51
(Round to two decimal places as needed.)
Identify the P-value.
P-value = 3.770o
(Round to three decimal places as needed.)
What is the conclusion based on the hypothesis test?
The P-value is greater than the significance level of a = 0.05, so fail to reject the null hypothesis. There is insufficient
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.
The 90% confidence interval is< (P1 - P2) <].
(Round to three decimal places as needed.)
What is the conclusion based on the confidence interval?
0, it appears that the two proportions are
Because the
Because the confidence interval limits
values, it appears that the proportion of people over 55 who dream in
confidence interval limits include
black and white is
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. Yes. The results can be used to verify the given explanation because the difference in proportions is practically
significant.
Oc. Yes. The results can be used to verify the given explanation because the difference in proportions is statistically
significant.
O D. 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.
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