A statistician conducts 1000s of computer simulations of the null-hypothesis for

Question

A statistician conducts 1000s of computer simulations of the null-hypothesis for a design with n=20. Each simulated experiment randomly samples subject means from a normal distribution with mean = 0, and standard deviation = 20. For each simulation a one-sample t-test (2-tailed) is conducted to test whether the sample mean is significantly different from 0. On average, out of 100 tests, how many should have a p-value equal to or less than .3?

(a) about 60 in 100

(b) about 30 in 100

(c) about 15 in 100

(d) about 5 in 100

Explanation / Answer

as pvlaue is probability of getting the test statistic or more extreme value if null hypothesis is true.for number of sample with p values 0.30 or less =np=100*0.3=30

therefore option B is correct

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