Question: Test the claim at the a=0.1 level of significance by determining (a) the null and alternate hypothesis, (b) the test statistic, (c) the critical value and (d) the P-value. Assume the samples were obtained independently from a large population using simple random sampling.

Claim p¹ ≠ P². The sample data are x¹ = 23, n¹ = 248, x²=33, and n² = 303

a) Correct null or alternative hypothesis = H_o:p₁₌ p₂ versus H_{1 :} p₁≠ p₂

b) the test statistic

c) the critical value and

d) the P-value