17.26 A researcher at Procter & Gamble (P&G) wants to determine the consumers’ satisfaction proportion on 3 different fabric softener brands—Downy (United States), Cuddly (Australia), and Makom (China). For Downy, 30% of a random sample of 50 consumers out of 200 were satisfied with it. For Cuddly, 60% of a sample of 30 out of 450 consumers were satisfied. For Makom, 45%

of a sample of 45 out of 350 consumers were satisfied.

a. Find a 95% confidence interval for the population proportion of consumers who are satisfied with the brands they are using.

b. What is the conclusion you have derived based on your answer in part (a)?