MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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.
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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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