Some students were asked, "Would you date someone with a great personality even though you did not find that person to be attractive?" Of the 131 women surveyed, 61.1% said yes, and of the 61 men surveyed, 42.6% said yes. Is there sufficient evidence to conclude that, for the populations represented by these students, a higher proportion of women would answer yes to this question? Test at the 5% level.
1. Let the women be Group 1, and let the men be Group 2. What is the parameter in the context of the problem?
2. Let the women be Group 1, and let the men be Group 2. Give the null and alternative hypotheses.
3. The test statistic was calculated to be 2.43. What is the p-value?
4. Based on your p-value, what is your statistical decision?
5. At the 5% level of significance, do we have sufficient evidence to say that, for the populations represented by these students, a higher proportion of women answer yes to this question? (Yes, No, or Maybe)
1 answer