534 CHAPTER 10 Chi-Square Tests and the F -Distribution 12. Homicides by Month A researcher claims that the number of homicide crimes in California by month is uniformly distributed. To test this claim, you randomly select 2000 homicides from a recent year and record the month when each happened. The table shows the results. At a = 0.10, test the researcher’s claim. (Adapted from California Department of Justice) Month Frequency, f Month Frequency, f January 134 July 184 February 111 August 181 March 133 September 205 April 134 October 215 May 158 November 184 June 161 December 200 13. College Education The pie chart shows the results of a survey in which Republican U.S. parents were asked what path they would prefer their child take after high school. A political scientist claims that the distribution of opinions of Democrat U.S. parents is different from the distribution for Republicans. To test this claim, you randomly select 200 Democrat U.S. parents and ask each what path they would prefer their child take after high school. The table shows the results. At a = 0.05, test the political scientist’s claim. (Adapted from Gallup) Non-college training program 19% Two-year college 7% Four-year college 46% All other pathways 28% Survey results Response Frequency, f Four-year college 140 Two-year college 22 Non-college training program 14 All other pathways 24 14. Money Management The pie chart shows the results of a survey in which married U.S. male adults were asked how much they trust their spouses to manage their finances. A financial services company claims that the distribution of how much married U.S. female adults trust their spouses to manage their finances is the same as the distribution given for married U.S. male adults. To test this claim, you randomly select 400 married U.S. female adults and ask each how much she trusts her spouse to manage their finances. The table shows the results. At a = 0.10, test the company’s claim. (Adapted from Country Financial) Trust with certain aspects 27.8% Not sure 0.9% Do not trust 5.7% Completely trust 65.6% Survey results Response Frequency, f Completely trust 243 Trust with certain aspects 108 Do not trust 36 Not sure 13
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