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. Assuming the conditions for inference are met, what is the 90% confidence interval for the difference in proportions of clothes that receive a rating of 7 or higher for the two detergents? Find the z-table here.
A. (0.91-0.84) 1.96 √0.91(1-0.91)/ 250+0.84(1 0.84)/250, Bay
B. (0.91-0.84) ±1.65 √0.91(1-0.91)/250+0.84(1-0.84) 250
C. (0.09 0.16) ±1.96 √0.09(1-0.09) 250+0.16(1 0.16) 250
D.(0.09-0.16)+1.65√0.09(1-0.09)+0.16(1-0.16) 500
