7.4 IPHONE APPS The iPhone maker Apple announces that 25% of iPhone owners use a certain app. Let � be a binary random variable that equals 1 if a randomly selected iPhone owner uses this particular app, and 0 otherwise. State the population distribution of � using the information Apple provides. (That is, give the proportion of times that you expect a randomly selected owner to use or not use the app.) For a random sample of 50 iPhone owners, 30 use the app. State the data distribution for � based on this sample. Find the mean of the sampling distribution of the sample proportion who use the app in a random sample of 50 owners. Find the standard deviation of the sampling distribution of the sample proportion who use the app in a random sample of 50 owners. Explain what the standard deviation in part d describes.
7.4 IPHONE APPS The iPhone maker Apple announces that 25% of iPhone owners use a certain app. Let
�
be a binary random variable that equals 1 if a randomly selected iPhone owner uses this particular app, and 0 otherwise.
State the population distribution of
�
using the information Apple provides. (That is, give the proportion of times that you expect a randomly selected owner to use or not use the app.)
For a random sample of 50 iPhone owners, 30 use the app. State the data distribution for
�
based on this sample.
Find the mean of the sampling distribution of the sample proportion who use the app in a random sample of 50 owners.
Find the standard deviation of the sampling distribution of the sample proportion who use the app in a random sample of 50 owners.
Explain what the standard deviation in part d describes.
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