Question
A coin is checked to see if it's fair. In a sample of 500 tosses, there...
A coin is checked to see if it's fair. In a sample of 500 tosses, there are 266 tails. Test at the 5% level of significance to see if the percent of tails is 50% or if it's more. Find H0, H1 and determine whether or not you reject.
Homework Answers
Answer #1
H0: Null Hypothesis: P = 0.5 (The coin is fair) (Claim)
H1: Alternative Hypothesis: P > 0.5 (The coin is not fair)
n = 500
1
= 266/500 = 0.532
= 0.05
From Table, critical value of Z = 1.64
Test Statistic is given by:
Since calculated value of Z = 1.431 is less than critical value of Z = 1.64, the difference is not significant. Fail to reject null hypothesis.
Conclusion:
The data support the claim that the coin is fair.
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