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A market researcher for a provider of iPhone accessories wants to know the proportion of customers who own cars to assess the market for a

A market researcher for a provider of iPhone accessories wants to know the proportion of customers who own cars to assess the market for a new iPhone car charger. A sample of 400 customers indicates that 72% own cars.

SHOW WORK.

a) What is the standard error of the sampling distribution of the proportion?

b) How large would the standard error have been if he had surveyed only 100 customers (assuming the proportion is about the same)?

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