a. State the hypotheses for testing if a significant difference exists between the two population proportions. H0 : p1−p2= ? 0 H1 : p1−p2 = ? 0  b. Calculate the test statistic. z=   Round to two decimal places if necessary Enter 0 if normal approximation cannot be used c. Determine the critical value(s) and state the rejection region for the null hypothesis at a=0.2�=0.2. = Round to two decimal places if necessary Enter 0 if normal approximation cannot be used d. Conclude whether to reject the null hypothesis or not based on the test statistic.

Step 2 The value of $₁ is the number of non- If mp ₁, ma₁, np₂, and no₂ are at least 10, we can use the large-sample test procedure with an approximately standard normal distribution. The variables m and n are the sample sizes of Brand A and Brand B, respectively, p₁ and 2 are the sample proportions of non- contaminated chickens of Brand A and Brand B, respectively, and ₁ = 1 - ₁ and ₂ = 1 - P₂. Recall that 38 of 80 chickens from Brand A tested positive, so the number of non-contaminated chickens is 80 - 38 = contaminated Brand A chickens divided by the total number of Brand A chickens, or p ₁ = Calculate mp₁. = 80( mp₁ Recall that ₁1 - ₁. Calculate ma₁. ma₁ = 80(1-p₁) 80(1- We are told that 64 of 80 chickens from Brand B tested positive, so the number of non-contaminated chickens is 80 - 64 = P₂ = Calculate np₂. np₂ = 80 Calculate n4₂, where na₂ = 80(1-₂) 80(1 – [ = 1-P₂- The value of 2 is the number of non-contaminated Brand B chickens divided by the total number of chickens of Brand…