Question

A researcher surveyed randomly selected Democrats and Republicans asking them what the number one concern should be for the president of the United States. The results of the survey are shown below. Is there evidence to conclude that there is a difference in what Democrats and Republicans think is the most important?

Frequencies of Concerns for Democrats and Republicans

	Economy	Foreign Affairs	Family Values	Environment	Other
Democrats	88	55	83	70	32
Republicans	114	71	120	40	36

What can be concluded at the αα = 0.10 significance level?

1. What is the correct statistical test to use?
   • Homogeneity
   • Paired t-test
   • Independence
   • Goodness-of-Fit
2. What are the null and alternative hypotheses?
   H0:H0:
   • Political affiliation and number one concern are dependent.
   • The distribution of concerns for Democrats is the same as it is for Republicans.
   • Political affiliation and number one concern are independent.
   • The distribution of concerns for Democrats is not the same as it is for Republicans.
   
   
   
   H1:H1:
   • Political affiliation and number one concern are independent.
   • Political affiliation and number one concern are dependent.
   • The distribution of concerns for Democrats is not the same as it is for Republicans.
   • The distribution of concerns for Democrats is the same as it is for Republicans.
3. The test-statistic for this data = (Please show your answer to three decimal places.)
   
4. The p-value for this sample = (Please show your answer to four decimal places.)
   
5. The p-value is Select an answergreater thanless than (or equal to) αα

Answer 1

(d) P- value = 0.0022

(e).

Hence, we reject H₀ at alpha=0.10 and conclude that Political affiliation and number one concern are dependent.