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Management · Q333

Business Statistics

Graduate and Post Graduate · Management · question 333

Q333

160 heads and 240 tails resulted from 400 tosses of a coin. Find a 95% confidence interval for the probability of a head. Does this appear to be a fair coin? [Hint p = 1/2 , q = 1/2 , n = 400 Expected frequency = np = 200 Standard error = npq = 10 Actual difference = 200 - 160 = 40 Difference is greater than 3 times standard error coin is unfair.]

160 heads and 240 tails resulted from 400 tosses of a coin. Find a 95% confidence interval for the probability of a head. Does this appear to be a fair coin?
[Hint p = , q = , n = 400
Expected frequency = np = 200
Standard error = = 10
Actual difference = 200 - 160 = 40
Difference is greater than 3 times standard error coin is unfair.]
A.
Can be said to be fair
B.
Can be or cannot be said to be fair
C.
Cannot be said to be fair
Answer
D.
None of the above

Answer: Option C

Solution

Answer: Option C
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