a-campus-survey-asked-two-independent-random-samples-of-students-whether-they-pa

Question

A campus survey asked two independent random samples of students whether they participate in a student recycling program and whether they participate in a campus composting program. The recycling sample had nR=400n_{R}=400 with xR=260x_{R}=260 saying yes. The composting sample had nC=350n_{C}=350 with xC=210x_{C}=210 saying yes. At the α=0.05\alpha=0.05 level, is there evidence the proportions differ? Use a two-sided test.

Accepted Answer

There is not enough evidence to reject the null hypothesis, and the proportions are not significantly different

Answer

There is enough evidence to reject the null hypothesis and conclude that the proportions differ

Answer

There is enough evidence to reject the null hypothesis and conclude that the proportions are equal

Answer

There is not enough evidence to reject the null hypothesis, and the proportions are significantly different