A poll was conducted to investigate opinions about global warming. The responden

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 0.01 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? Identify the null and alternative hypotheses. H_0: and are H_1: and 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? H_0. 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 agree

Explanation / Answer

Ho: gender and choice are independent

Ha:gender and choice are dependent

test stat X2 =1.441

p value =0.487

Fail to reject Ho. There is not sufficient............

Observed O Human activity natural Do not know Total male 305 169 48 522 female 311 147 50 508 Total 616 316 98 1030 Expected E=rowtotal*column total/grand total Human activity natural Do not know Total male 312.2 160.1 49.7 522 female 303.8 155.9 48.3 508 Total 616 316 98 1030 chi square =(O-E)^2/E Human activity natural Do not know Total male 0.165 0.489 0.056 0.711 female 0.170 0.503 0.057 0.730 Total 0.335 0.992 0.113 1.441

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