An employee survey conducted by a company two years ago found that 51% of its em

Question

An employee survey conducted by a company two years ago found that 51% of its employees were concerned about future health care benefits. A random sample of 75 of these employees were asked if they were now concerned about future health care benefits. Answer the following, assuming that there has been no change in the level of concern about health care benefits compared to the survey two years ago. a. What is the standard error of the sample proportion who are concerned? b. What is the probability that the sample proportion is less than 0.50? C. What is the upper limit of the sample proportion such that only 4% of the time the sample proportion would exceed this value? Click the icon to view the standard normal table. The standard error of the sample proportion is Round to five decimal places as needed.) a. b. The probability that the sample proportion is less than 0.50 is (Round to four decimal places as needed.) c. The upper limit of the sample proportion is (Round to two decimal places as needed.)

Explanation / Answer

a)

b)

c)

for 96th eprcentile ; z =1.75

hence corresponding limit =point estimate +z*zstd error =0.61

for normal distribution z score =(p-p)/p here population proportion=     p= 0.510 sample size       =n= 75 std error of proportion=p=(p*(1-p)/n)= 0.05772

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