A study by Allstate Insurance Co. finds that 82% of teenagers have used cell phones while driving (The Wall Street Journal, May 5, 2010). Suppose a random sample of 100 teen drivers is taken. [You may find it useful to reference the z table.]
a-1. Calculate the standard error for the sampling
distribution of the sample proportion. (Do not round
intermediate calculations. Round your answer to 4 decimal
places.)
a-2. Is the sampling distribution of the sample
proportion approximately normal?
Yes
No
b. What is the probability that the sample
proportion is less than 0.80? (Round “z” value to
2 decimal places, and final answer to 4 decimal
places.)
a)
Sample fraction of person using phones while driving, =Population mean=0.82
Sample size,n=100
Standard error of sampling distribution is given by
b)
Since
We can say that sampling distribution of sample proportion is approximately normal.
c)
Let us find Z for
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