Is My Coin Toss Hypothesis Correct?

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SUMMARY

The discussion centers on evaluating the hypothesis that 70% of future coin tosses will result in heads, based on a sample of 15 tosses yielding 13 heads. Participants emphasize the need to calculate the statistical significance of the observed difference (13/15 - 0.7) to determine if the hypothesis holds true. The analysis references a specific statistical approach outlined in a research document from the Sports Medicine Association, highlighting the importance of rigorous testing in hypothesis validation.

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If I hypothesize that 70% of all my future coin tosses will come up heads, and I sample 15 coin tosses and get 13 heads, what is the probability that my hypothesis is correct?
 
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Obviously you underestimated, so you need to calculate whether the difference 13/15 - 0.7 is significantly different from zero.

See figure 1 of http://www.sportsmed.org/tabs/research/downloads/Research%208%20-%20Discrete%20Data.pdf
 
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