SOLUTION: A die is tossed 180 times with the following results: Is this a halanced die? Use a 0.01 level of significance. 10.80 In 100 tosses of a coin, 63 heads and 37 tails are ohserve

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Question 980421: A die is tossed 180 times with the following
results:
Is this a halanced die? Use a 0.01 level of significance.
10.80 In 100 tosses of a coin, 63 heads and 37 tails
are ohserved. Is this a balanced coin? Use a 0.05 level
of significance.
Kindly, Any one can advice my about it ?
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Looks like you have an incomplete first problem and a complete second problem.
Here's what to do for both but I'll only use data from the second.
,
,
,
Hypothesis testing with a proportion.
Balanced die would mean .
.
.
.
Null hypothesis :
Alternate hypothesis :
Two tailed test, assume normality since
.
.
.
Find the standard deviation.



Find the z score.



For 0.05 significance, the critical z score would be,

Since you are outside the "fail to reject" region, you reject the null hypothesis.
It is not a fair die.
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