ue= nd to three decimal places as needed.) is the conclusion based on the hypothesis test? P-value is the significance level of a = 0.05, so and white is greater than the proportion for those under 25. st the claim by constructing an appropriate confidence interval. 0% confidence interval is <(P₁-P₂)<- nd to three decimal places as needed.) is the conclusion based on the confidence interval? the null hypothesis. There is evidence to support the claim that the proportion of people over 55 who dream in use the confidence interval limits 0, it appears that the two proportions are Because the confidence interval limits include the proportion for those under 25. ortion of people over 55 who dream in black and white is 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? 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. values, it appears that the 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. Yes. The results can be used to verify the given explanation because the difference in proportions is practically significant. Yes. The results can be used to verify the given explanation because the difference in proportions is statistically significant.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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12

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
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
(Round to three decimal places as needed.)
What is the conclusion based on the confidence interval?
<(P₁-P₂)<.
the null hypothesis. There is
evidence to support the claim that the proportion of people over 55 who dream in
Because the confidence interval limits
▼0, it appears that the two proportions are
Because the confidence interval limits include
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?
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 are not statistically significant enough to verify
the cause of such a difference.
values, it appears that the
OB. 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.
OC. Yes. The results can be used to verify the given explanation because the difference in proportions is practically significant.
O D. 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= (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 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 (Round to three decimal places as needed.) What is the conclusion based on the confidence interval? <(P₁-P₂)<. the null hypothesis. There is evidence to support the claim that the proportion of people over 55 who dream in Because the confidence interval limits ▼0, it appears that the two proportions are Because the confidence interval limits include 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? 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 are not statistically significant enough to verify the cause of such a difference. values, it appears that the OB. 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. OC. Yes. The results can be used to verify the given explanation because the difference in proportions is practically significant. O D. Yes. The results can be used to verify the given explanation because the difference in proportions is statistically significant.
A study was conducted to determine the proportion of people who dream
in black and white instead of color. Among 300 people over the age of 55,
69 dream in black and white, and among 284 people under the age of 25,
13 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.
Transcribed Image Text:A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 300 people over the age of 55, 69 dream in black and white, and among 284 people under the age of 25, 13 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.
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