Astudy w condcto determine he proportion of people who dream in black and white instead of color Among 317 people over the age of 55, 63 dream in black and white, and among 300 people under the age of 25, 17 dream in black and whte Use a 001 signiicance level to test the ciaim that the proportion of pecple over 55 who dam t n whieper han proportion for thone under 25. Complete parts (a) through (c) below a Test the dam usang a hypothesn test Consider the frst 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 nul and alternative hypotheses for the hypothesis test? OA H DD OB H P, SP OC H P, P H, P =P2 F. H Da P H, P, P OD H P"Pz H PP2 Identty the test statistic (Round to two deamal places as needed) identity the Pvalue Pvatue-D (Round to three decimal places as needed) What is the conclusion based on the hypothesis test? The Pvalue is the signficance level of a001, so the nul 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 proporton for those under 25 b. Test the claim by constructing an appropriate confidence interval The 98% confidence interval iss (P. P:) O (Round to three decimal places as needed

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Chapter1: Starting With Matlab
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Astudy was conducted to determine the proportion of people who dream in black and white instead of color. Among 317 people over the age of 55, 63 dream in black and white, and among 300 people under the age of 25, 17 dream in black and white. Use a 0.01 significance level to test the claim that the proportion of people over 55 who dreamn tackand
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 altenative hypotheses for the hypothesis test?
OA. Ho P =P2
H, P P2
O B. Ho P1 SP2
H,: P, #P2
O C. Ho P1 #P2
H, P, = P2
O D. H, P1 =P2
H P P2
O E. H, P1 =P2
H,: P, <P2
O F. Ho P, P2
H,. P, # 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 significance level of a = 0.01, 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.
The P-value is
b. Test the claim by constructing an appropriate confidence interval.
The 98% confidence interval is< (P1 P2) U
(Round to three decimal places as needed.)
Transcribed Image Text:Astudy was conducted to determine the proportion of people who dream in black and white instead of color. Among 317 people over the age of 55, 63 dream in black and white, and among 300 people under the age of 25, 17 dream in black and white. Use a 0.01 significance level to test the claim that the proportion of people over 55 who dreamn tackand 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 altenative hypotheses for the hypothesis test? OA. Ho P =P2 H, P P2 O B. Ho P1 SP2 H,: P, #P2 O C. Ho P1 #P2 H, P, = P2 O D. H, P1 =P2 H P P2 O E. H, P1 =P2 H,: P, <P2 O F. Ho P, P2 H,. P, # 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 significance level of a = 0.01, 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. The P-value is b. Test the claim by constructing an appropriate confidence interval. The 98% confidence interval is< (P1 P2) U (Round to three decimal places as needed.)
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