would you favor spending more federal tax meney eon the arts? of a random sample of n, 237 women,r responded yes. Ancther randem sample of n, - 192 men showed thatr,i reponded ye. B proporten of women and the population propertion of men who favor spending mere federal tax dollars on the arts? Use a 0.es. a) what is the level of signihcance State the ruil and altemate hypotheses H PPaiM P> P (b) what sampng dstribution will you use? What assumptions are you making? O The Student's t. The number of trals is suffidently large lo The standard normal. The number of tnals is sufficiently large The standard normal. we assume the population dastributons are approximately normal lo The Student's t. we assume the population distributions are approximately normal what is the value of the sample test statistct (Test the dferencep,-P Do not use rounded values. Round your fnal answer to twe decimal places 104 () Find (or estmate) the Avalue. (Round your anser to four deamal places Setch the sampng distribution and show the area comesponding to the Avalue Us 09 0 6:04

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Would you favor spending more federal tax money on the arts? of a random sample of n, - 237 women, r,- 68 responded yes. Another random sample of n, - 192 men showed that r,- 64 reponded yes. Does this Information Indicate a difference (ether way) between the population
proportion of women and the population proportion of men who favor spending more federal tax dollars on the arts? Use a = 0.05.
(a) what is the level of signihcance?
0.05
State the nul and alternate hypotheses.
O H, P, - Pai H P,Pa
O Hoi Pa - Pai M P,<Pa
H, P, - Pai H P, > P2
OH, P, <Pi H, P, P2
(b) what samping distribution will you use? what assumptions are you making?
lo The Student's t. The number of trials is sufficently large.
lO The standard normal. The number of trials is sufficiently large
e The standard normal. We assume the population distributions are approximately normal.
lO The Student's t. We assume the population distributions are approximately normal.
what is the value of the sample test statistic? (Test the dfference p,- p. Do not use rounded values. Round your fnal answer to two decimal places.
104
(c) Find (or estimate) the P-value. (Round your answer to four decmal places.)
0.8508
Sketch the sampling distribution and show the area corresponding to the Pvalue.
us 09 0 6:04
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Transcribed Image Text:Would you favor spending more federal tax money on the arts? of a random sample of n, - 237 women, r,- 68 responded yes. Another random sample of n, - 192 men showed that r,- 64 reponded yes. Does this Information Indicate a difference (ether way) between the population proportion of women and the population proportion of men who favor spending more federal tax dollars on the arts? Use a = 0.05. (a) what is the level of signihcance? 0.05 State the nul and alternate hypotheses. O H, P, - Pai H P,Pa O Hoi Pa - Pai M P,<Pa H, P, - Pai H P, > P2 OH, P, <Pi H, P, P2 (b) what samping distribution will you use? what assumptions are you making? lo The Student's t. The number of trials is sufficently large. lO The standard normal. The number of trials is sufficiently large e The standard normal. We assume the population distributions are approximately normal. lO The Student's t. We assume the population distributions are approximately normal. what is the value of the sample test statistic? (Test the dfference p,- p. Do not use rounded values. Round your fnal answer to two decimal places. 104 (c) Find (or estimate) the P-value. (Round your answer to four decmal places.) 0.8508 Sketch the sampling distribution and show the area corresponding to the Pvalue. us 09 0 6:04 esc $ % & backspace @ 23 8 9. 2 4 r y 9 W e
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