(a) What is the level of significance? State the null and alternate hypotheses. O Hgi P = Pzi H: Pi > P2 O Ho: P < Pzi Hgi P1 = P2 O Hgi P " Pzi H: Pi < P2 O Hgi P " Pzi H: Pi * P2 (b) What sampling distribution will you use? What assumptions are you making? O The standard normal. The number of trials is sufficiently large. O The Student's t. We assume the population distributions are approximately normal. O The standard normal. We assume the population distributions are approximately normal. O The Student's t. The number of trials is sufficiently large. What is the value of the sample test statistic? (Test the difference p, - P. 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.) Sketch the sampling distribution and show the area corresponding to the P-value. Paue Pvalue Pvalue Pvalue (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level a? O At the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant. O At the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant. At the a = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant. O At the a = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant. (e) Interpret your conclusion in the context of the application. O Fail to reject the null hypothesis, there is sufficient evidence that the proportion of women favoring more tax dollars for the arts is different from the proportion of men. O Fail to reject the null hypothesis, there is insufficient evidence that the proportion of women favoring more tax dollars for the arts is different from the proportion of men. O Reject the null hypothesis, there is insufficient evidence that the proportion of women favoring more tax dollars for the arts is different from the proportion of men. O Relect the null hynothesis, there is sufrricient evidence that the proportion of women favoring more tax dollars for the arts is different from the proportion of men.