For a marketing research it is known that the proportion women who use personal care products is 0.40 and the proportion of men is 0.25 for a sample of 500 women and 400 men chosen at random, who follow a binomial distribution. Calculate the value of the difference between the sample proportion by gender so that the probability is less than 0.9975?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 14T: An unbalanced coin is weighted so that the probability of heads is 0.55. The coin is tossed ten...
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For a marketing research it is known that the proportion women who use personal care products is 0.40 and the proportion of men is 0.25 for a sample of 500 women and 400 men chosen at random, who follow a binomial distribution. Calculate the value of the difference between the sample proportion by gender so that the probability is less than 0.9975?

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