Affiliation Option Democrat Republican Independent Cut 101 282 61 Raise 38 67 25 Inflate 131 88 31 Let 61 90 25
One of the issues that usually come up in the US presidential elections is how to deal with a sluggish economy. Specifically, should the government cut spending, raise taxes, inflate the economy by printing more money, or do none of the above and let the deficit rise? And as with most other issues, politicians need to know which parts of the electorate support these options.
Suppose that a random sample of 1,000 people was asked which option they support and their political affiliations. The possible responses to the question about the preferred economic option were the four options mentioned above (i.e., Cut, Raise, Inflate, and Let), and to the question about political affiliation the respondents could answer Democrat, Republican, or Independent (which included a variety of political persuasions). The responses are summarised in the table below.
Do these data allow us to conclude at the 1% significance level that political affiliation affects support for the economic options?
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Answer the research question by performing all necessary calculations manually. State the hypotheses, the decision rule, calculate the test statistic showing the details of your calculations, make a statistical decision with reference to the proper critical value and draw your conclusion. Based on the relevant critical value table, what can you tell about the p-value of your test? Explain your answer.
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Hi, can you help me answer D in detail? Part C I have already done as shown below.
c) Repeat the test you performed in part (b) with R. Evaluate the test using the reported p-value this time.
attach(a3e1)
chisq.test(a3e1)
Pearson's Chi-squared test
data: a3e1
X-squared = 70.675, df = 6, p-value = 2.973e-13
(d) List all requirements that must be met to validate the test in parts (b) and (c). Are they likely satisfied this time? Explain your answers.
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