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A survey of 100 mayonnaise purchasers showed 65 were loyal to one brand. For a survey of 100 bath soap purchasers showed only 53 were loyal to one...

A survey of  100 mayonnaise purchasers showed 65 were loyal to one brand. For a survey of 100 bath soap purchasers showed only 53 were loyal to one brand.
a) Perform a two tailed test at α = .05
b) Form a confidence interval for the difference of proportions, without pooling the samples. Does it include 0?

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