The General Social Survey asked a random sample of adult Americans about their political viewpoint and also about whether they had given blood in the previous year.

The sample results for the 2012 survey are organized in the following two-way table of counts:

a. For each political viewpoint, determine the sample proportion who claimed to have given blood in the past year.

b. Calculate the value of the MAD statistic for these sample data.

c. Express the null hypothesis to be tested with these data.

d. Conduct a simulation-based analysis of these data based on the MAD statistic. Submit a screen capture of the null distribution and shade the area in the null distribution that corresponds to the p-value.

e. Report the p-value from the simulation analysis. Also write a sentence interpreting what this p value represents (probability of what, assuming what?).

f. At the 0.05 significance level, do the sample proportions who gave blood differ enough among the three political groups to consider the observed association to be statistically significant? Explain how you determine the answer.

Transcribed Image Text:

Conservative Liberal Moderate Gave blood Did not give blood 33 48 41 317 368 411