A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 305 people over the age of 55, 80 dream in black and white, and among 305 people under the age of 25, 18 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. (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 v the null hypothesis. There is V evidence support the claim that the proportion of people over 55 who dream black and white 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)

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the p value is less than or greater than the significance level of
α=0.05​, so reject or fail to reject the null hypothesis There is 
sufficient or 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.
 
What is the conclusion based on the confidence​ interval? Because the confidence interval limits include or do not include
​0, it appears that the two proportions are equal or not equal.
Because the confidence interval limits include only negativeor
only positive or 
positive and negative ​values, it appears that the proportion of people over 55 who dream in black and white is  lesser than greater than not significantly different from the proportion for those under 25.
A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 305 people over the age of 55, 80 dream in black and white, and among 305 people under the age of 25, 18 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.
(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
the null hypothesis. There is
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 90% confidence interval is
What is the conclusion based on the confidence interval?
Because the confidence interval limits
V 0, it appears that the two proportions are
Because the confidence interval limits include
values, it appears that the proportion of people over 55 who
dream in 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?
A. Yes. The results can be used to verify the given explanation because the difference in proportions is statistically significant.
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.
C. 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.
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:A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 305 people over the age of 55, 80 dream in black and white, and among 305 people under the age of 25, 18 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. (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 the null hypothesis. There is 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 90% confidence interval is What is the conclusion based on the confidence interval? Because the confidence interval limits V 0, it appears that the two proportions are Because the confidence interval limits include values, it appears that the proportion of people over 55 who dream in 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? A. Yes. The results can be used to verify the given explanation because the difference in proportions is statistically significant. 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. C. 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. D. Yes. The results can be used to verify the given explanation because the difference in proportions is practically significant. Click to select your answer(s). (? Save for Later
A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 305 people over the age of 55, 80 dream in black and white, and among 305 people under the age of 25, 18 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?
A. Ho: P1 sP2
В. Но: Р1 2 Р2
C. Ho: P1 = P2
H1:P1 # P2
H1: P1 # P2
H1:P1 # P2
O D. Ho: P1 = P2
H1: P1 > P2
O E. Ho: P1 = P2
H1: P1 <P2
O F. 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 P-value is
V the significance level of a = 0.05, so
the null hypothesis. There is
evidence to support the claim that the proportion of people over 55 who dream in black and white is greater than the
%3D
proportion for those under 25.
b. Test the claim by constructing an appropriate confidence interval.
The 90% confidence interval is < (P1 - P2) <U-
(Round to three decimal places as needed.)
IAIL -1 :- IL-
----l..-:--
Click to select your answer(s).
(?
Save for Later
Transcribed Image Text:A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 305 people over the age of 55, 80 dream in black and white, and among 305 people under the age of 25, 18 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? A. Ho: P1 sP2 В. Но: Р1 2 Р2 C. Ho: P1 = P2 H1:P1 # P2 H1: P1 # P2 H1:P1 # P2 O D. Ho: P1 = P2 H1: P1 > P2 O E. Ho: P1 = P2 H1: P1 <P2 O F. 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 P-value is V the significance level of a = 0.05, so the null hypothesis. There is evidence to support the claim that the proportion of people over 55 who dream in black and white is greater than the %3D proportion for those under 25. b. Test the claim by constructing an appropriate confidence interval. The 90% confidence interval is < (P1 - P2) <U- (Round to three decimal places as needed.) IAIL -1 :- IL- ----l..-:-- Click to select your answer(s). (? Save for Later
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