Computing Type 1 Error Rate for Coin Test

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SUMMARY

The discussion focuses on calculating the Type I error rate for a hypothesis test involving a coin toss. The null hypothesis (H0) is defined as the probability of heads being between 11/30 and 19/30, while the alternative hypothesis (H1) states that the probability is either less than 11/30 or greater than 19/30. The Type I error rate is computed as the sum of the probabilities of obtaining fewer than 11 heads or more than 19 heads under the null hypothesis. The participants confirm the correctness of this approach.

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  • Familiarity with Type I error and its implications
  • Knowledge of binomial distribution
  • Ability to calculate probabilities under a null hypothesis
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  • Study the calculation of Type I and Type II error rates
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EvLer
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How would I compute the type 1 error rate of the following test:

accept that coin is fair if in 30 tosses the coin gives between 11 and 19 heads (inclusive), reject otherwise.

I guess my Ho is 11/30<p<19/30
and H1: p < 11/30 or p > 19/30

so type I prob = P(p < 11/30) + P(p > 19/30) both under Ho.
Is this correct?

thanks
 
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it should be right, i think
 

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