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Question

Based on past experience, $20 \%$ of the contacts made by a firm's sales representatives result in a sale being made. Charlie has contacted 100 potential customers but has made only 10 sales. Assume that Charlie's contacts represent a simple random sample of those who could have been called upon. Given this information:

Solution

VerifiedAnswered 1 year ago

Answered 1 year ago

Since the probability that a random sample of $100$ contacts will have a proportion of sales that is at most $0.10$ is $0.0062$, then it means that it is unlikely to happen just by chance. Since Person $1$ made it happen there must be a strong reason why it happened and it is not just by having a hard day. Therefore, I will not consider Person $1$'s explanation that he just had a bad day.

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