In a large class of introductory Statistics students, the professor had each per

Question

In a large class of introductory Statistics students, the professor had each person toss a fair coin numerous times and calculate the proportion of his or her tosses that were heads. One of the students in the class claims to have tossed her coin

170170

times and found only

4242%

heads. What do you think of this claim?

This result is

2.09standard deviations

_______ _____

the mean of the sampling distribution of the sample proportion.

(Round to two decimal places as needed.)

Please show full work of problem

Explanation / Answer

here number of tossess n=170

and for a fair coin probability of heads =p=0.5

hence mean of the sampling distribution of the sample proportion =(p(1-p)/n)1/2 =(0.5*(1-0.5)/170)1/2=0.038

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