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The manager of Hannah's House of Hobbies wants to improve his method for gathering customer opinions. Which of the following statements is false?

A

If a salesperson stands at the door to ask customers' opinions in a quick three-question interview, the proportion of satisfied customers will be overestimated due to response bias.

B

If the cashiers randomly select survey participants from the checkout lines, the proportion of satisfied customers will be overestimated because customers who leave the store without making a purchase will not be included in the sample.

C

The manager can avoid as much bias as possible if he rolls a number cube for each customer who walks in the store. If the number cube shows a $3$, the customer will be given a written survey to be turned in at the end of their shopping.

D

The manager can avoid as much bias as possible if he gives a written survey to customers who spend more than $\$100$ in the store.

E

The manager's survey will suffer from nonresponse bias if too many customers refuse to participate in the survey.

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