A marketing analyst for a food manufacturer is attempting to obtain some information on the population proportion of breakfast cereal consumers who buy only cereals containing “organic ingredients”. The analyst will survey a random sample of cereal consumers and determine the sample proportion who indicate that they buy only organic cereals. She will use this information to compute a confidence interval for the population proportion of breakfast cereal consumers who buy only organic cereals. The analyst has no previous information about the value of the population proportion.
The analyst would like her interval to have a confidence level of 95% and a margin of error of .025. Determine the sample size she should use in order to satisfy these conditions for the confidence interval.
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