A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 301301 people over the age of​ 55, 6060 dream in black and​ white, and among 281281 people under the age of​ 25, 1616 dream in black and white. Use a 0.050.05 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.       Question content area bottom Part 1 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. Upper H 0H0​: p 1p1equals=p 2p2 Upper H 1H1​: p 1p1greater than>p 2p2 Your answer is correct.   B. Upper H 0H0​: p 1p1not equals≠p 2p2 Upper H 1H1​: p 1p1equals=p 2p2   C. Upper H 0H0​: p 1p1less than or equals≤p 2p2 Upper H 1H1​: p 1p1not equals≠p 2p2   D. Upper H 0H0​: p 1p1equals=p 2p2 Upper H 1H1​: p 1p1not equals≠p 2p2   E. Upper H 0H0​: p 1p1greater than or equals≥p 2p2 Upper H 1H1​: p 1p1not equals≠p 2p2   F. Upper H 0H0​: p 1p1equals=p 2p2 Upper H 1H1​: p 1p1less than<p 2p2 Part 2 Identify the test statistic.   zequals=5.265.26 ​(Round to two decimal places as​ needed.)

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A study was conducted to determine the proportion of people who dream in black and white instead of color. Among
301301
people over the age of​ 55,
6060
dream in black and​ white, and among
281281
people under the age of​ 25,
1616
dream in black and white. Use a
0.050.05
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.
 
 
 

Question content area bottom

Part 1
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.
Upper H 0H0​:
p 1p1equals=p 2p2
Upper H 1H1​:
p 1p1greater than>p 2p2
Your answer is correct.
 
B.
Upper H 0H0​:
p 1p1not equals≠p 2p2
Upper H 1H1​:
p 1p1equals=p 2p2
 
C.
Upper H 0H0​:
p 1p1less than or equals≤p 2p2
Upper H 1H1​:
p 1p1not equals≠p 2p2
 
D.
Upper H 0H0​:
p 1p1equals=p 2p2
Upper H 1H1​:
p 1p1not equals≠p 2p2
 
E.
Upper H 0H0​:
p 1p1greater than or equals≥p 2p2
Upper H 1H1​:
p 1p1not equals≠p 2p2
 
F.
Upper H 0H0​:
p 1p1equals=p 2p2
Upper H 1H1​:
p 1p1less than<p 2p2
Part 2
Identify the test statistic.
 
zequals=5.265.26
​(Round to two decimal places as​ needed.)
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