Estimating the Difference between Two Population Proportions Answers

(0.270, 0.370)(0.038, 0.162)✔ (0.048, 0.152)

120160✔ 200300

is✔ is notmay be

convincing evidence✔ not enough evidence

not enough evidence✔ convincing evidence

✔ YesNoNot enough information

✔ would orderordereddid order

120160200✔ 300

✔ convincing evidencenot enough evidenceplausible evidence

✔ is is not

✔ is is not

A bank wants to estimate the difference in the proportion of its "big" customers who have a second account with a different bank and the proportion of its "small" customers who also have an account with another bank. Of the 200 “big” customers who were randomly selected, 160 claimed to also bank with other banks. Of the 300 “small” customers who were randomly selected, 120 claimed to also bank with other banks.

met✔ not metdoes not apply

met✔ not metdoes not apply

Yes✔ NoNot enough information

✔ does not applymetnot met

does not apply✔ metnot met

✔ YesNoNot enough information

We are 90% sure✔ We are 90% confidentWe are 90% certainThere’s a 90% probability

(0.270, 0.370)(0.038, 0.162)✔ (0.048, 0.152)