Before the overtime rule in a football league was changed, among 726 overtime games, 335 were won by the team that won the coin toss at the beginning of overtime. 70 games resulted in a tie. Using a 0.01 significance level, use the sign test to test the claim that the coin toss is fair in the sense that neither team has an advantage by winning it. Find the null and alternative hypothesis. H0:H0: p<0.5 p=0.5 p≠0.5 p>0.5 H1: p≠0.5 p=0.5 p>0.5 p<0.5
Before the overtime rule in a football league was changed, among 726 overtime games, 335 were won by the team that won the coin toss at the beginning of overtime. 70 games resulted in a tie. Using a 0.01 significance level, use the sign test to test the claim that the coin toss is fair in the sense that neither team has an advantage by winning it.
Find the null and alternative hypothesis.
H0:H0:
- p<0.5
- p=0.5
- p≠0.5
- p>0.5
H1:
- p≠0.5
- p=0.5
- p>0.5
- p<0.5
If we consider + to represent a win by the team that won the coin toss, then how many of each sign is there?
Positive Signs:
Negative Signs:
Total Signs:
What is the p-value? (Round to three decimal places.)
What is the conclusion about the null?
What is the conclusion about the claim?
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