Statistics and methodology

1:

A coin is tossed 1000 times and head comes out 550 times. Can the deviation from expected value be due to fluctuations of simple sampling?

A.

Yes, with -1

B.

Cannot be

C.

Yes, with +1

D.

Can be

 

Answer : B

Explanation :

Chance of getting a head p = 1/2

Expected frequency        = np = 1000 x 1/2

= 500

Standard deviation           = √(npq)

= √(1/2 x 1/2 x 1000)

= 15.81

The difference between observed frequency and expected frequency, = 550 - 500 = 50 Since the difference is greater than three times the standard error (5.81 x 3 = 47.43 <= 50) and so it cannot be accounted for by fluctuations of simple sampling.

Hence the answer is (b).

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Option: A

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