A 2016 Pew Research poll found that 18% of cell phone owners use their phone for conducting transactions with their bank. Let’s assume that 0.18 is the true proportion (in 2016) of all cell phone owners who use their cell phone for banking. (a) You take a random sample of 150 current cell phone owners and find that 38 of them use their cell phone for banking. Is this convincing evidence that since 2016 there has been an increase from 0.18 in the proportion of cell phone owners who use their cell phone for banking? Use = 0.05. (b) Suppose the question you asked the people in your sample was, “People on the go use their cell phone for everything. Do you ever use yours to conduct your banking business?” Comment on the potential bias arising from the way this question was asked and its’ impact on your conclusion.
A 2016 Pew Research poll found that 18% of cell phone owners use their phone for conducting transactions with
their bank. Let’s assume that 0.18 is the true proportion (in 2016) of all cell phone owners who use their cell
phone for banking.
(a) You take a random sample of 150 current cell phone owners and find that 38 of them use their cell phone
for banking. Is this convincing evidence that since 2016 there has been an increase from 0.18 in the
proportion of cell phone owners who use their cell phone for banking? Use = 0.05.
(b) Suppose the question you asked the people in your sample was, “People on the go use their cell phone
for everything. Do you ever use yours to conduct your banking business?” Comment on the potential
bias arising from the way this question was asked and its’ impact on your conclusion.
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