Would you favor spending more federal tax money on the arts? of a random sample ofn,91 politically conservative voters, 20 responded yes. Another random sample of n,- 80 politically moderate voters showed that ,- 25 responded yes. Does this information indicate that the population proportion of conservative voters inclined to spend mere federal tax money on funding tthe arts is less than the preportion of moderate voters so indined? Use 0.05. (a) What is the level of significance? O State the null and aternate hypotheses. O Pai M P OMi P Pại M Pai i P O M P - Pzi PP2 OM: P- Pai ,: P Pa () What sampling distribution will you use? What assumptions are you making O The Studentr'st. We assume the population distributions are approximately normal O The Student's. The number of trials is sufficiently large . O The standard normal, The number of trials is suftciently large. O The standard nermal. We assume the population distributions are approximately nermal. What is the value of the sample test statistic (Test the diference - P2. De net use rounded values. Round your final answer to two decimal places.) () Find (or estimate) the Pvalue. (Round your answer to four decimal places.) Sketch the sampling distribution and show the area corresponding to the Avalue. o-3 -2 -1 1 o-3 -2 - 2 -2 (4) Based on your answers in parts (a) to (e), wll you reject or fail to reject the null hypothesis? Are the data statistically significant at level a O At the 0.o5 level, we reject the nul hypothesis and conclude the data are not statistically significant. O At the a0.0s level, we fail to reject the nul hypothesis and conclude the data are not statistically significant. O At the a0.05 level, we reject the null hypothesis and conclude the data are statistically significant. OAL the a0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant. (e) Interpret your conclusion in the context of the application. O Fal to reject the nul 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. O Fal to reject the nul hypothesis, there is sufficient evidence that the proportion of caonservative voters favoring more tax dolars for the arts is less than the proportion of moderate voters. O Reject the nul 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. O Reject the nul hypothesis, there is insufficient evidence that the proportion of conservative voters favoring more tax dolars for the arts is less than the proportion of moderate voters