A poll was conducted to investigate opinions about global warming. The responden
ID: 3054999 • Letter: A
Question
A poll was conducted to investigate opinions about global warming. The respondents who answered yes when asked if there is solid evidence that the earth is getting warmer were then asked to select a cause of global warming. The results are given in the accompanying data table. Use a 0.05 significance level to test the claim that the sex of the respondent is independent of the choice for the cause of global warming. Do men and women appear to agree, or is there a substantial difference? Human Natural Male Female 334 312 152 156 Don't know 47 49 Identify the null and altemative hypotheses. and and Ho- Y are are Compute the test statistic. (Round to three decimal places as needed.) Find the critical value(s). (Round to three decimal places as needed. Use a comma to separate answers as needed.) What is the conclusion based on the hypothesis test? ? | HO . There | ?| sufficient evidence to warrant rejection of the claim that the sex of the respondent is independent of the choice for the cause of global warming. Men and women to agreeExplanation / Answer
Ho: sex and choice for the cause of golbal warming are indepdnent.
H1: sex and choice for the cause of golbal warming are dedepdnent.
applying chi square test:
test statistic =0.599
crtiical value =5.991
fail to reject Ho ; there is not sufficient evidence,..............
Observed Oi human activity natural pattern Do not know Total male 334 152 47 533 female 312 156 49 517 Total 646 308 96 1050 Expected Ei=?row*?column/?total human activity natural pattern Do not know Total male 327.9219 156.3467 48.7314 533 female 318.0781 151.6533 47.2686 517 Total 646 308 96 1050 chi square =(Oi-Ei)2/Ei human activity natural pattern Do not know Total male 0.1127 0.1208 0.0615 0.295 female 0.1161 0.1246 0.0634 0.304 Total 0.229 0.245 0.125 0.599