Tests of Goodness of Fit and Independence Essay
Tests of Goodness of Fit and Independence
Tests of Goodness of Fit and Independence
Case Problem: A Bipartisan Agenda for Change
1. Descriptive statistics
Question: Should legislative pay be cut for every day the state budget is late?
 Yes No Totals  Democrat 22 14 36  Independent 10 9 19  Republican 39 6 45  Totals 71 29 100 
Percentage responding yes: Democrat, 61.1%; Independent, 52.6%; Republican, 86.7%
Preliminary conclusion: Since the percentage of Republicans that answered yes is much greater than the percentage of Democrats or Independents that answered yes, the classifications do not appear to be independent.
Question: Should there be restrictions on lobbyists?
 Yes No Totals  Democrat 21 15 36  Independent 15 4 19  Republican 34 11 45  Totals 70 30 100 
Percentage responding yes: Democrat, 58.3%; Independent, 78.9%; Republican, 75.6%
Preliminary conclusion: Since the percentage of Democrats that answered yes is much less than the percentage of Independents or Republicans that answered yes, the classifications do not appear to be independent.
Question: Should there be term limits requiring legislators serve a fixed number of years?
 Yes No Totals  Democrat 17 19 36  Independent 10 9 19  Republican 32 13 45  Totals 59 41 100 
Percentage responding yes: Democrat, 47.2%; Independent, 52.6%; Republican, 71.1%
Preliminary conclusion: Since the percentage of Republicans that answered yes is much higher than the percentage of Democrats or Independents that answered yes, the classifications do not appear to be independent.
2. The pvalue associated with the test for independence is .006. Since the pvalue is less than the level of significance, .05, we can reject the null hypothesis of independence.
3. The pvalue associated with the test for independence is .156. Since the pvalue is greater than the level of significance, .05, we cannot reject the null hypothesis of independence. Note that our preliminary conclusion based upon the descriptive statistics was incorrect in this case.
4. The pvalue associated with the test for independence is .078. Since the pvalue is greater than the level of significance, .05, we cannot reject the null hypothesis of independence. Note that our preliminary conclusion based upon the descriptive statistics was incorrect in this case.
5. There does appear to be broad support across all political lines with regard to restrictions on lobbyists and requiring legislators serve a fixed number of years. However, with regard to the issue of a legislative pay cut, the response (yes and no) and party affiliation are not independent; for this issue, the Republican respondents have a much different perspective than the Democrats or the Independents
A

Subject: John Kerry, John McCain,

University/College: University of Chicago

Type of paper: Thesis/Dissertation Chapter

Date: 10 April 2016

Words:

Pages:
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