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 95 40 96 72 39 Republicans 97 71 114 45 39 What can be concluded at the αα = 0.05 significance level? What is the correct statistical test to use? Homogeneity Independence Paired t-test Goodness-of-Fit What are the null and alternative hypotheses? H0:H0: Political affiliation and number one concern are dependent. Political affiliation and number one concern are independent. The distribution of concerns for Democrats is the same as it is for Republicans. The distribution of concerns for Democrats is not the same as it is for Republicans. H1:H1: The distribution of concerns for Democrats is not the same as it is for Republicans. Political affiliation and number one concern are independent. The distribution of concerns for Democrats is the same as it is for Republicans. Political affiliation and number one concern are dependent. The test-statistic for this data = (Please show your answer to three decimal places.) The p-value for this sample = (Please show your answer to four decimal places.) The p-value is Select an answer greater than less than (or equal to) αα Based on this, we should accept the null fail to reject the null reject the null Thus, the final conclusion is... There is insufficient evidence to conclude that political affiliation and number one concern are dependent. There is sufficient evidence to conclude that the distribution of concerns for Democrats is not the same as it is for Republicans There is sufficient evidence to conclude that the distribution of concerns for Democrats is the same as it is for Republicans. There is sufficient evidence to conclude that political affiliation and number one concern are dependent. There is insufficient evidence to conclude that the distribution of concerns for Democrats is not the same as it is for Republicans.

Name: A researcher surveyed randomly selected Democrats and Republicans aski
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Description: 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 diffe

1. Here it is needed to test, whether there is a difference what Democrats and Republicans think is the most important.The data can be represented in contingency table is, Observed frequency Economy Foreign Affairs Family Values Environment Other Row total Democrats 95 40 96 72 39 342 Republicans 97 71 114 45 39 366 Column Total 192 111 210 117 78 708 In this case, the data is collected in simple random sampling method. The variables political affiliations and the number once concern are categorical variables. In addition, the data can be represented in a contingency table. Thus, chi square test of homogeneity can be used.2. The null and alternative hypotheses for the test are: H0: The distribution of concerns for Democrats is the same as it is for Republicans. H1: The distribution of concerns for Democrats is not the same as it is for Republicans.4. The degrees of freedom is, df = (2 – 1)(5 – 1) = 4. Consider that the level of significance is α = 0.05. Using the Excel formula =CHISQ.DIST.RT(15.654,4) the P-value is 0.0035. 5. The p-value is less than α. 6. Decision rule: If P-value is less than or equal to the level of significance, then reject the null hypothesis. Otherwise, fail to reject the null hypothesis. Based on this, we should reject the null hypothesis. 7. There is sufficient evidence to conclude that the distribution of concerns for Democrats is not the same as it is for Republicans

Answered: 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…

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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	95	40	96	72	39
Republicans	97	71	114	45	39

What can be concluded at the αα = 0.05 significance level?

What is the correct statistical test to use?
- Homogeneity
- Independence
- Paired t-test
- Goodness-of-Fit
What are the null and alternative hypotheses?
H0:H0:
- Political affiliation and number one concern are dependent.
- Political affiliation and number one concern are independent.
- The distribution of concerns for Democrats is the same as it is for Republicans.
- The distribution of concerns for Democrats is not the same as it is for Republicans.
H1:H1:
- The distribution of concerns for Democrats is not the same as it is for Republicans.
- Political affiliation and number one concern are independent.
- The distribution of concerns for Democrats is the same as it is for Republicans.
- Political affiliation and number one concern are dependent.
The test-statistic for this data = (Please show your answer to three decimal places.)
The p-value for this sample = (Please show your answer to four decimal places.)
The p-value is Select an answer greater than less than (or equal to) αα
Based on this, we should
- accept the null
- fail to reject the null
- reject the null
Thus, the final conclusion is...
- There is insufficient evidence to conclude that political affiliation and number one concern are dependent.
- There is sufficient evidence to conclude that the distribution of concerns for Democrats is not the same as it is for Republicans
- There is sufficient evidence to conclude that the distribution of concerns for Democrats is the same as it is for Republicans.
- There is sufficient evidence to conclude that political affiliation and number one concern are dependent.
- There is insufficient evidence to conclude that the distribution of concerns for Democrats is not the same as it is for Republicans.