Answer to Question #257758 in Statistics and Probability for Sunil

Question

To test the hypothesis that the coin is fair, the adopted rule is: "accept the hypothesis if the number of heads in 10 tosses is more than 4". Then find the probability of committing type I error.

Select one:  a. B(4;10;0.5)  b. B(3;10;0.5)  c. B(5;10;0.5) d. B(2;10;0.5) 

Answer 1

A type I error is a kind of fault that occurs during the hypothesis testing process when a null hypothesis is rejected, even though it is accurate and should not be rejected.

Answer: c. B(5;10;0.5)

only in this answer the number of tosses (5) is relevant to the null hypothesis, so it exists probability of type I error: you have two variants - accept the null hypothesis or reject the null hypothesis, so probability of type I error is 1/2