3. A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 323 people over the age of 55, 68 dream in black and white, and among 301 people under the age of 25, 20 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. 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? C. Ho: P1 P2 B. Ho: P1 = P2 H: P1 P2 A. Ho: P1 2P2 H: P1 P2 H:P1 #P2 E. Ho: P1 #P2 H1: P1 = P2 OF. Ho: P1 S P2 H1: P1 # P2 D. Ho: P1 =P2 H1: P1

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3. A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 323
people over the age of 55, 68 dream in black and white, and among 301 people under the age of 25, 20 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.
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?
c. Ho: P1 = P2
H1: P1 > P2
A. Ho: P1 2 P2
B. Ho: P1 = P2
H1: P1 #P2
H1:Pq #P2
O E. Ho: P1 # P2
H1: P1 = P2
F. Ho: P1 SP2
H: P1 #P2
D. Ho: P1 = P2
H: 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 (1).
the significance level of a = 0.01, so (2)
the null hypothesis. There is
(3).
greater than the proportion for those under 25.
evidence to support the claim that the proportion of people over 55 who dream in black and white is
b. Test the claim by constructing an appropriate confidence interval.
< (P, -P2) <
The 98% confidence interval is
(Round to three decimal places as needed.)
What is the conclusion based on the confidence interval?
Because the confidence interval limits (4)
0, it appears that the two proportions are (5).
Because the confidence interval limits include (6)
values, it appears that the proportion of people over 55
who dream in black and white is (7)
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. Yes. The results can be used to verify the given explanation because the difference in
proportions is practically significant.
B. Yes. The results can be used to verify the given explanation because the difference in
proportions is statistically significant.
OC. 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
Transcribed Image Text:3. A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 323 people over the age of 55, 68 dream in black and white, and among 301 people under the age of 25, 20 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. 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? c. Ho: P1 = P2 H1: P1 > P2 A. Ho: P1 2 P2 B. Ho: P1 = P2 H1: P1 #P2 H1:Pq #P2 O E. Ho: P1 # P2 H1: P1 = P2 F. Ho: P1 SP2 H: P1 #P2 D. Ho: P1 = P2 H: 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 (1). the significance level of a = 0.01, so (2) the null hypothesis. There is (3). greater than the proportion for those under 25. evidence to support the claim that the proportion of people over 55 who dream in black and white is b. Test the claim by constructing an appropriate confidence interval. < (P, -P2) < The 98% confidence interval is (Round to three decimal places as needed.) What is the conclusion based on the confidence interval? Because the confidence interval limits (4) 0, it appears that the two proportions are (5). Because the confidence interval limits include (6) values, it appears that the proportion of people over 55 who dream in black and white is (7) 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. Yes. The results can be used to verify the given explanation because the difference in proportions is practically significant. B. Yes. The results can be used to verify the given explanation because the difference in proportions is statistically significant. OC. 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 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.
O reject
O fail to reject
(3) O sufficient
O insufficient
O include
O do not include
(4)
(1) O greater than
O less than
(2)
O only positive
O only negative
O positive and negative
O greater than
O lesser than
(5) O not equal.
(6)
(7)
equal.
O not significantly different from
Transcribed Image Text:to verify the cause of such a difference. 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. O reject O fail to reject (3) O sufficient O insufficient O include O do not include (4) (1) O greater than O less than (2) O only positive O only negative O positive and negative O greater than O lesser than (5) O not equal. (6) (7) equal. O not significantly different from
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