Online purchase. A boutique owner claims that 15%

of her total customers prefer to purchase online in comparison to her other walk-in customers. Another boutique owner wants to know whether her boutique has the same proportion of the two types of customers. She randomly selects 560 purchasers from her sales record and finds that 105 of them have made their purchases online.

a) State the hypothesis.

b) Name the model and check appropriate conditions for a hypothesis test.

c) Draw and label a sketch, and then calculate the test statistic and P-value.

d) State your conclusion.