Question

Describe type I and type II errors for a hypothesis test of the indicated claim. A shoe store claims that at least 80% of its new customers will return to buy their next pair of shoes.

Describe the type I error. Choose the correct answer below:

a) A type I error will occur when the actual proportion of new customers who return to buy their next pair of shoes is no more than 0.80 but you reject H0: p≤0.80.

b) A type I error will occur when the actual proportion of new customers who return to buy their next pair of shoes is at least 0.80, but you fail to reject H0: p≥0.80

c) A type I error will occur when the actual proportion of new customers who return to buy their next pair of shoes is no more than 0.80, but you fail to reject H0 : p≤0.80.

d)  A type I error will occur when the actual proportion of new customers who return to buy their next pair of shoes is at least 0.80, but you reject H0 : p≥0.80

Describe the type II error. Choose the correct answer below:

a) A type II error will occur when the actual proportion of new customers who return to buy their next pair of shoes is more than 0.80, but you reject H0 :p≤0.80

b)A type II error will occur when the actual proportion of new customers who return to buy their next pair of shoes is less than 0.80, but you fail to reject H0:p≥0.80.

c) A type II error will occur when the actual proportion of new customers who return to buy their next pair of shoe is less than 0.80, but you reject H0: p≤0.80.

d) A type II error will occur when the actual proportion of new customers who return to buy their next pair of shoes is more than 0.80, but you fail to reject H0: ps≥0.80.

Answer 1

Describe the type I error. Choose the correct answer below:

d)  A type I error will occur when the actual proportion of new customers who return to buy their next pair of shoes is at least 0.80, but you reject H0 : p≥0.80

Describe the type II error. Choose the correct answer below:

b)A type II error will occur when the actual proportion of new customers who return to buy their next pair of shoes is less than 0.80, but you fail to reject H0:p≥0.80.