Question

8. Support for the Death Penalty In 1980 and again in 2010, a Gallup poll asked a random sample of 1000 US citizens "Are you in favor of the death penalty for a person convicted of murder?". In 1980, the proportion saying yes was 0.66. In 2010, it was 0.64. Does this data provide evidence that the proportion of US citizens favoring the death penalty was higher in 1980 than it was in 2010? Use pi for the proportion in 1980 and p2 for the proportion in 2010 State the null and alternative hypotheses What is the sample statistic? Use proper notation for sample statistic VS H Randomization Dotplot of Null Hypothesis: pI p2 ple1000 -0.00 Left Ta Two-Ta Right Tail A randomization distribution assuming the null hypothesis is true is shown. Which of the following is closest to the p-value? 0.001, 0.05, 0.20, 0.5 Highlight or circle your answer Shade or somehow indicate the area on the graph that represents the p-value chosen above. 50 20 0.06 0.04 0.02 0.02 0.04 0.06 nul 0

Answer 1

Sol:

A:

and $H_1:p_1>p_2$

A: H_0: p_1 = p_2 and H_1: p_1 > p_2 B: Sample statistics is the difference In sample statistics: p_1 - p_2 = 0.66 - 0.64 = 0.02 C: Assumptions Is that proportions are equal, as stated In the null hypothesis D: 0.20 Is the closest

B: Sample statistics is the difference in sample statistics:

C:

Assumption is that proportions are equal, as stated in the null hypothesis

D:

0.20 is the closest