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Suppose a coin is tossed 100 times and the number of heads are recorded. We want...

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Statistics

Suppose a coin is tossed 100 times and the number of heads arerecorded. We want to test whether the coin is fair. Again, a coinis called fair if there is a fifty-fifty chance that the outcome isa head or a tail. We reject the null hypothesis if the number ofheads is larger than 55 or smaller than 45.

Write your H_0 and H_A in terms of the probability of heads, sayp.

Find the Type I error rate if the null hypothesis is true.

Calculate the power of the test if the true chance of head is0.4

Find the p-value if the observed number of heads is 65.

Answer & Explanation Solved by verified expert
4.4 Ratings (870 Votes)
Null Hypothesis H0 p 05Alternative hypothesis HA p 05Standard error of sample proportion 005We reject the null hypothesis if the number of    See Answer
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