Suppose Connie owns a pet store in a large community that has over 50,000 pet owners. She believes that the proportion of me who own cats is different from the proportion of women who own cats. Connie decides to test this claim by performing a two- sample z-test for two proportions. Her hypotheses are given by Ho : Pm = Pw Ha : Pm # Pw where Ho is the null hypothesis, and Ha is the alternative hypothesis. The variables pw and pm represents the population proportion of men and women cat owners, respectively. She randomly samples 420 men and 493 women who are pet owners in the community and finds that 234 men own cats and 2: women own cats. Determine the pooled sample proportion, c. Pc Provide your answer precise to three decimal places. Compute the standard error of the difference of the sample proportions (SE). SE = Provide your answer precise to three decimal places.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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Suppose Connie owns a pet store in a large community that has over 50,000 pet owners. She believes that the proportion of men
who own cats is different from the proportion of women who own cats. Connie decides to test this claim by performing a two-
sample z-test for two proportions. Her hypotheses are given by
Но : Рт — Рw
Ha : Pm + Pw
where Ho is the null hypothesis, and Ha is the alternative hypothesis. The variables pw and pm represents the population
proportion of men and women cat owners, respectively.
She randomly samples 420 men and 493 women who are pet owners in the community and finds that 234 men own cats and 256
women own cats. Determine the pooled sample proportion, c.
Pc =
Provide your answer precise to three decimal places.
Compute the standard error of the difference of the sample proportions (SE).
SE =
Provide your answer precise to three decimal places.
Transcribed Image Text:Suppose Connie owns a pet store in a large community that has over 50,000 pet owners. She believes that the proportion of men who own cats is different from the proportion of women who own cats. Connie decides to test this claim by performing a two- sample z-test for two proportions. Her hypotheses are given by Но : Рт — Рw Ha : Pm + Pw where Ho is the null hypothesis, and Ha is the alternative hypothesis. The variables pw and pm represents the population proportion of men and women cat owners, respectively. She randomly samples 420 men and 493 women who are pet owners in the community and finds that 234 men own cats and 256 women own cats. Determine the pooled sample proportion, c. Pc = Provide your answer precise to three decimal places. Compute the standard error of the difference of the sample proportions (SE). SE = Provide your answer precise to three decimal places.
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