employee survey conducted by a company two years ago found that 51% of its emplo
ID: 3063108 • Letter: E
Question
employee survey conducted by a company two years ago found that 51% of its employees were concerned about future health care benefits. A random s they were now concerned about future health care benefits. Answer the fo has been no change in the level of concern about health care benefits compared to the surv 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? ample of 85 of these employees were asked lowing, assuming that ther ey two Click the icon to view the standard normal table. a. The standard error of the sample proportion is [05422 (Round to five decimal places as needed.) b. The probability that the sample proportion is less than 0.50 is 4286 (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
Here we have given that,
p=0.51, q=1-p=0.49, n=85
Standard error (S.E.)=sqrt(pq/n)
=sqrt (0.51*0.49/85)
=0.05422
Now we know that at 4% level of significance value of z is 2.05 i.e. z = 2.05
Therefore Upper limit(UL) of sample proportion is,
UL = p + SE*z
= 0.51+ 0.05422*2.05
= 0.6212
Hence upper limit of sample proportion is 0.6212
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