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 Explanation : Explanation will come here. Explanation will come here. Explanation will come here. Explanation will come here. Explanation will come here. |