# Question

For the population of individuals who own an iPhone, suppose p = 0.25 is the proportion that has a given app. For a particular iPhone owner, let x = 1 if they have the app and x = 0 otherwise. For a random sample of 50 people who have an iPhone:

a. State the population distribution (that is, the probability distribution of X for each observation).

b. Find the mean of the sampling distribution of the sample proportion who have the app among the 50 people.

c. Find the standard deviation of the sampling distribution of the sample proportion who have the app among the 50 people.

d. Explain what the standard deviation in part c describes.

a. State the population distribution (that is, the probability distribution of X for each observation).

b. Find the mean of the sampling distribution of the sample proportion who have the app among the 50 people.

c. Find the standard deviation of the sampling distribution of the sample proportion who have the app among the 50 people.

d. Explain what the standard deviation in part c describes.

## Answer to relevant Questions

The scores on the Psychomotor Development Index (PDI), a scale of infant development, have a normal population distribution with mean 100 and standard deviation 15. An infant is selected at random. a. Find the z -score for a ...You’d like to estimate the proportion of all students in your school who are fluent in more than one language. You poll a random sample of 50 students and get a sample proportion of 0.12. Explain why the standard deviation ...For a single toss of a balanced coin, let x = 1 for a head and x = 0 for a tail. a. Construct the probability distribution for x, and calculate its mean. (You can think of this as the population distribution corresponding to ...Using data from the National Survey of Families and Households, a study (from S. South and G. Spitze, American Sociological Review, vol. 59, 1994, pp. 327–347) reported the descriptive statistics in the following table for ...In 1994 (the most recent year asked), the General Social Survey asked, “During the last year, did anyone take something from you by using force—such as a stickup, mugging, or threat?” Of 1223 subjects, 31 answered yes ...Post your question

0