receive a rating of 7 or higher. For detergent A, 228 pieces of clothing received a 7 or higher. For detergent B, 210 pieces of clothing received a rating of 7 or higher. Let pa = the true proportion of clothes receiving a rating of 7 or higher for detergent A and pg = the true proportion of clothes receiving a rating of 7 or higher for detergent B. Which of the following is the correct standardized test statistic and P-value for the hypotheses, Hoi PA-Pg=0 and H, Pa-Pg> 0? Find the z-table here. 0.912 - 0.84 (0.876)(0.124) 500 .P – value = 0.014 0.912 - 0.84 (0.876)(0.124) , (0.876)(0.124) P- value = 0.007 250 + 250 0.912 - 0.84 (0.912)(0.124) , (0.84)(0.16) 250 , P– value = 0.007 250 0.912 - 0.84 P- value = 0.014 (0.876)(0.124) 250 (0.876)(0.124) 250
A laundry detergent company wants to determine if a new formula of detergent, A, cleans better than the original formula, B. Researchers randomly assign 500 pieces of similarly soiled clothes to the two detergents, putting 250 pieces in each group. After washing the clothes, independent reviewers determine the cleanliness of the clothes on a scale of 1–10, with 10 being the cleanest. The researchers calculate the proportion of clothes in each group that receive a rating of 7 or higher. For detergent A, 228 pieces of clothing received a 7 or higher. For detergent B, 210 pieces of clothing received a rating of 7 or higher. Let pA = the true proportion of clothes receiving a rating of 7 or higher for detergent A and pB = the true proportion of clothes receiving a rating of 7 or higher for detergent B. Which of the following is the correct standardized test statistic and P-value for the hypotheses,
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