Standard error of the sampling distribution of theproportion

Reference no: EM13337920

It has been estimated that 17.0% of mutual fund shareholders are retired persons. Assuming the population proportion to be π=0.17 and that a simple random sample of 400 share holders has been selected:

a. What is the expected value pf p = the proportion of those in thesample who are retired?

b. What is the standard error of the sampling distribution of theproportion,p?

c. What is the probability that at least 20% of those in the samplewill be retired ?

d. What is the probability that between 15% and 25% of those in thesample will be retired ?

Reference no: EM13337920

Questions Cloud

Approximate location of rejectionregion for the test : For each of the following statements,formulateappropriate null and alternative hypotheses. Indicate whether theappropriate test will be one -tail or two-tail,then sketch adiagram that shows the approximate location of the rejectionregion(s) for the t..

Confidence intervals for population : The following data values are a simple random sample from apopulation that is normally distributed,with σ 2 =25.0:47,43,33,42,34, and 41. Construct and interpret the 95% and99% confidence intervals for the population.

Observation in simple randomsample : Given the following observation in a simple randomsample from a population that is approximately normallydistributed,construct and interpret the 90% and 95% confidenceintervals for the mean:

Is this point estimate or an interval estimate : During the month of July,an auto manufacturer gives its production employees a vacation period so it can tool up for the new model run. In surveying a simple random sample of 200 production workers, the personnel director finds that 38% of them plan ..

Standard error of the sampling distribution of theproportion : It has been estimated that 17.0% of mutual fund shareholders are retired persons. Assuming the population proportion to be π=0.17 and that a simple random sample of 400 share holders has been selected:

Confidence intervals for the population mean : The following data values are a simple random sample from apopulation that is normally distributed,with σ2 =2.5.0: 47,43,33,42,34, and 41. Construct and interpret the 95% and99% confidence intervals for the population mean.

Normally distributed with a standard deviation : It has been reported that the average U.S. office worker receives 14 fax messages per day. For purposes of this exercise,we will assume that the daily number of fax messages is normally distributed with a standard deviation of 5.0 messages.

Standard deviation of the corresponding normal distribution : In a certain binomial distribution,π=0.20 and n=30.In using the normal approximation, What are the mean and standard deviation of the corresponding normal distribution?

Describe the probability distribution : Flip a fair coin 50 times, assign a random variable X, where the value of X is equal to the number of heads observed in the flips. Describe the probability distribution of X, and calculate the probability of observing 30 or more heads or more in 50 f..

User Account

All Pages