Sanjay is researching if female students are more or less likely than male students to have received extra credit at a large university. He takes a random sample of 300 students. Here are his results:

Received extra credit? Total rho
Female 23 nF=156 pF = 0.147
Male 14 nₘ = 144 pₚ = 0.097

Sanjay used this sample to build a 95% confidence interval to estimate o_F-pₘ. The resulting interval was 0.05 ± 0.07. He wants to use this interval to test Hₒ:p=pₘ versus Hₐ : p ≠ pₘ. Assume that all conditions for inference have been met. Based on the interval, what do we know about the corresponding P-value and conclusion at the alpha =0.05 level of signifıcance?

Q&A Education