# Would you favor spending more federal tax money on the arts? This question was asked by a

## Question:

Would you favor spending more federal tax money on the arts? This question was asked by a research group on behalf of The National Institute. Of a random sample of n1 = 220 women, r1 = 59 responded yes. Another random sample of n2 = 175 men showed that r2 = 56 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 α = 0.05.
(a) What is the level of significance? State the null and alternate hypotheses.
(b) What sampling distribution will you use? What assumptions are you making? Compute the sample test statistic.
(c) Find (or estimate) the P-value. Sketch the sampling distribution and show the area corresponding to the P-value.
(d) Based on your answers in parts (a)–(c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level α?
(e) Interpret your conclusion in the context of the application.
Distribution
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