Would you favor spending more federal tax money on the arts? Of a random sample of n = 92 politically conservative voters, 1 = 16 responded yes. Another random sample of n = 77 politically moderate voters showed that r = 21 responded yes. Does this information indicate that the population proportion of conservative voters inclined to spend more federal tax money on funding the arts is less than the proportion of moderate voters so inclined? Use = 0.05. (a) What is the level of significance? State the null and alternate hypotheses. (Enter != for # as needed.) Ho H: (b) What sampling distribution will you use? What assumptions are you making? It follows the standard normal sampling distribution. The number of trials is sufficiently large. It follows the standard normal sampling distribution. We assume the population distributions are approximately normal. It follows the Student's t sampling distribution. The number of trials is sufficiently large. It follows the Student's t sampling distribution. We assume the population distributions are approximately normal. Use the sample test statistic to find the corresponding z or t value as appropriate. (Test the difference p - P2. Round your final answer to two decimal places.) (c) Find the P-value. (Round your answer to four decimal places.) P-value = Sketch the sampling distribution and show the area corresponding to the P-value. -3 -2 -1 0 1 2 3 -3 -2 -1 0 1 2 3 -3 -2 -1 0 1 2 3 -3 -2 -1 0 1 2 3 (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? At the = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant. 0000 At the = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant. At the = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant. At the = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant. (e) Interpret your conclusion in the context of the application. Reject the null hypothesis, there is insufficient evidence that the proportion of conservative voters favoring more tax dollars for the arts is less than the proportion of moderate voters. Reject the null hypothesis, there is sufficient evidence that the proportion of conservative voters favoring more tax dollars for the arts is less than the proportion of moderate voters. Fail to reject the null hypothesis, there is sufficient evidence that the proportion of conservative voters favoring more tax dollars for the arts is less than the proportion of moderate voters. Fail to reject the null hypothesis, there is insufficient evidence that the proportion of conservative voters favoring more tax dollars for the arts is less than the proportion of moderate voters. Submit Answer