Would you favor spending more federal tax money on the arts? Of a random sample
ID: 3311587 • Letter: W
Question
Would you favor spending more federal tax money on the arts? Of a random sample of n1 = 225 women, r1 = 60 responded yes. Another random sample of n2 = 175 men showed that r2 = 58 responded yes. Does this information indicate a difference (either way) between the population proportion of women and the population proportion of men who favor spending more federal tax dollars on the arts? Use = 0.10.
(b) What sampling distribution will you use? What assumptions are you making?
What is the value of the sample test statistic? (Test the difference p1 p2. Do not use rounded values. Round your final answer to two decimal places.)
(c) Find (or estimate) the P-value. (Round your answer to four decimal places.)
Explanation / Answer
The statistical software output for this problem is:
Two sample proportion summary hypothesis test:
p1 : proportion of successes for population 1
p2 : proportion of successes for population 2
p1 - p2 : Difference in proportions
H0 : p1 - p2 = 0
HA : p1 - p2 0
Hypothesis test results:
Hence,
a) Level of significance = 0.10
Hypotheses: H0: p1 = p2; H1: p1 p2
b) The standard normal. The number of trials is sufficiently large.
Test statistic = -1.41
c) P - value = 0.1589
Difference Count1 Total1 Count2 Total2 Sample Diff. Std. Err. Z-Stat P-value p1 - p2 60 225 58 175 -0.064761905 0.04596479 -1.408946 0.1589Related Questions
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