A marketing consultant wants to estimate the proportion of all shoppers at a certain mall who make at least one purchase. he stands at a mall exit for two hours on a weekday afternoon and flips a coin each time a shopper leaves. if the coin comes up heads, he asks them if they have made any purchases during this visit. after two hours, he has 132 responses, 104 of whom made a purchase. which condition for constructing a confidence interval for a proportion has the consultant failed to satisfy?

Question

Beatrice Carpenter

Business

10 July, 21:51

A marketing consultant wants to estimate the proportion of all shoppers at a certain mall who make at least one purchase. he stands at a mall exit for two hours on a weekday afternoon and flips a coin each time a shopper leaves. if the coin comes up heads, he asks them if they have made any purchases during this visit. after two hours, he has 132 responses, 104 of whom made a purchase. which condition for constructing a confidence interval for a proportion has the consultant failed to satisfy?

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Amelia Yu · Answer 1

The condition for constructing a confidence interval for a proportion has the consultant failed to satisfy is that The data is a random sample from the population of interest.

Explanation:

When there is a chance that every one in the population has selected equally is called as random sampling. This type of sampling method is used for the representation of a group in an unbiased condition. Thus, every member of the population that is being chosen will be having an equal chance of being tested in an random sampling.

Confidence of interval refers to the estimation of an interval that has the true value of the unknown parameter. In the given example the data collected is the random sample form the shoppers that is taken only for two hours. This condition for the construction of a confidence interval for a proportion has made the consultant to fail.