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A stationary shop finds that 20% of the customers entering the shop between 9 am to 3 pm make a purchase. One morning, 100 people
A stationary shop finds that 20% of the customers entering the shop between 9 am to 3 pm make a
purchase. One morning, 100 people who can be regarded as a random sample of all customers, enter the
shop. Out of them, 15 people made a purchase.
a) What is the standard error of the sample proportion?
b) What is the sample under consideration?
c) Test the null against the alternative that the population proportion of people making a purchase is less
than 20%.
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