Time magazine reported the results of a poll of adult Americans, in which they w

Question

Time magazine reported the results of a poll of adult Americans, in which they were asked, "Have you ever driven a car when you probably had too much alcohol to drive safely?" The exact results were not given, but from the information provided we can guess at what they were. Of the 300 men who answered, 189 (63%) said yes and 108 (36%) said no. The remaining 3 weren't sure. Of the 300 women, 87 (29%) said yes while 210 (70%) said no, and the remaining 3 weren't sure.

(SHOW YOUR WORK FOR THE FOLLOWING)

Organize the data into a two-by-two table, ignoring the "not sure" answers.

State the appropriate null and alternative hypotheses.

Set up a table of numbers expected if the null hypothesis were true.

Set up a table showing the four comparison counts (observed minus expected) squared, divided by expected, as on pp. 250-251.

Calculate the chi-squared statistic.

The p-value is (i) more than 0.05 (ii) less than 0.05.

State your conclusion: there (i) IS (ii) IS NOT NECESSARILY a relationship between gender and response to the question.

Explanation / Answer

Chi-Square Test: Yes, No

Expected counts are printed below observed counts
Chi-Square contributions are printed below expected counts

Yes No T otal
Men 189 108 297
138.00 159.00
1 8.848 16.358

Women 87 210 297
138.00 159.00
18.848 16.358

Total 276 318 594

Chi-Sq = 70.413, DF = 1, P-Value = 0.000

P-valu < 0.05

there (i) IS a relationship between gender and response to the question.

Hope this will be helpful. Thanks and God Bless You ;-)

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