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A survey of 100 mayonnaise purchasers showed that 68 were loyal to one brand. For 100...

A survey of 100 mayonnaise purchasers showed that 68 were loyal to one brand. For 100 bath soap purchasers, only 45 were loyal to one brand. (a) Form a 90 percent confidence interval for the difference of proportions. (Round your answers to 4 decimal places. Negative values should be indicated by a minus sign.) The 90% confidence interval is from to (b) Does it include zero? Yes No

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Mayonnaise 68 0.6800 100 bath soap 45 0.4500 100 0.2300 estimated difference in proportion p,-Pz std error Se 0.0682 for 90 % Cl value of z- margin of error E-z*std error lower confidence bound- lower confidence bound- 1.645 0.1122 0.1178 0.3422

from above 90% confidence interval =0.1178 to 0.3422

b)

Does it include zero? : No

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