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A new brand of breakfast cereal is being market tested. One hundred boxes of the cereal were given to consumers to try. The consumers were asked whether they liked or disliked the cereal. You are given their responses below. a. What is the point estimate of the proportion of people who will like the cereal? Round to I decimal b. Construet a 95% confidence interval for the proportion of all consumers who will like the cereal. Round to 3 decimals c. What is the margin of error for the 95% confidence interval that you constructed in part (b)? d. With a .95 probability, what sample size needs to be selected to provide a margin of error of 09 or less? a. proportion of people who will like the cereal is a. What is the point estimate of the proportion of people who will like the cereal? Round to I decimal b. Construct a 95% confidence interval for the proportion of all consumers who will like the cereal. Round to 3 decimals c. What is the margin of error for the 95% confidence interval that you constructed in part (b)? d. With a 95 probability, what sample size needs to be selected to provide a margin of error of 09 or less? a. proportion of people who will like the cereal is b. The lower interval is and the upper interval is c. The margin of error is Round to 3 decimals 4. The sample sixe needed is whole number