A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 291 people over the age of​ 55, 74 dream in black and​ white, and among 288 people under the age of​ 25, 10 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 und

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9.1
A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 291 people over the age of​ 55, 74
dream in black and​ white, and among 288 people under the age of​ 25, 10
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 study was conducted to determine the proportion of people who dream in black and white instead of color. Among 291 people over the age of 55, 74 dream in black
and white, and among 288 people under the age of 25, 10 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.
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?
O A. Ho: P1 = P2
H1: P1 < P2
O B. Ho: P1 =P2
H1: P1 > P2
OC. Ho: P1 SP2
H1: P1 # P2
O D. Ho: P1 = P2
H1: P1 #P2
O E. Ho: P1 2P2
H1: P1 +P2
O F. Ho: P1 * P2
H1: P1 = P2
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?
V the significance level of a= 0.05, so
V the null hypothesis. There is
proportion of people over 55 who dream in black and white is greater than the proportion for those under 25.
The P-value is
evidence to support the claim that the
Transcribed Image Text:A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 291 people over the age of 55, 74 dream in black and white, and among 288 people under the age of 25, 10 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. 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? O A. Ho: P1 = P2 H1: P1 < P2 O B. Ho: P1 =P2 H1: P1 > P2 OC. Ho: P1 SP2 H1: P1 # P2 O D. Ho: P1 = P2 H1: P1 #P2 O E. Ho: P1 2P2 H1: P1 +P2 O F. Ho: P1 * P2 H1: P1 = P2 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? V the significance level of a= 0.05, so V the null hypothesis. There is proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. The P-value is evidence to support the claim that the
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