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Chapter 12: Q. 12.12 (page 491)
In each case, decide whether Assumptions and for using chi-square goodness-of-fit test are satisfied.
Sample size .
Relative frequencies.
Assumption is satisfied and Assumption is not satisfied.
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Presidential Election. According to Dave Leip's Atlas of U.S. Presidential Elections, in the 2012 presidential election, of those voting voted for the Democratic candidate (Barack H. Obama), whereas of those voting who lived in Illinois did so. For that presidential election, does an association exist between the variables "party of presidential candidate voted for" and "state of residence" for those who voted? Explain your answer.
In each of the given Exercises, we have given the number of possible values for two variables of a population. For each exercise, determine the maximum number of expected frequencies that can be less than 5 in order that Assumption 2 of Procedure 12.2 on page 506 to be satisfied. Note: The number of cells for a contingency table with m rows and n columns is m⋅n.
12.72 four and three
The Quinnipiac University Poll conducts nationwide surveys as a public service and of research. This problem is based on the results of once such poll. Independent simple random samples of residents each in read (predominantly Republiclian), blue (predominantly Democratic) and purple (mixed) states were asked how satisfied they were with the way things are going today. The following table summarizes the responses.
At the significance level, do the data provide sufficient evidence to conclude that the satisfaction-level distributions differ among residents of red, blue and purple states?
In each of exeercises 12.57-12.59, use the technology of your choice to solve the specified problems.
The National Governors Association publishes information on U.S Governors in Governors' Political Afflitiation and Term of Office. Based on that document we obtain the data on region of reidence an political party given on WeissStats site.
a. Group the bivariate data for these two variables into a contingency table.
b. Determine the conditional distribution of region within each party and the marginal distribution of region.
c. Determine the conditional distribution of party within each region and the marginal distribution of party.
d. Are the variables "region" and "party" for U.S. governors associated? Explain your answer.
We have presented a contingency table that gives a cross-classification of a random sample of values for two variables x and y, of a population.
Perform the following tasks
a. Find the expected frequencies Note: You will first need to compute the row totals, column totals, and grand total.
b. Determine the value of the chi-square statistic
c. Decide at the 5% significance level whether the data provide sufficient evidence to conclude that the two variables are associated.
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