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

Question

30. 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

P value is measured in terms of decimals ,the nearer the p value is to 1 more is the chance of accepting the null hypothesis.P values less than.05 is a significant evidence against the null hypothesis. .05 p value means 5% of samples are supporting the null hypothesis and rest 95% is against the null hypothesis.

Answer. (a). about 60 in 100

Related Questions

Navigate

• Browse (All)
• Browse 3
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.