A test of H0: μ = 50 versus H1: μ ≠ 50 is performed using a...

Question

Question

A test of H₀: μ = 50 versus H₁: μ ≠ 50 is performed using a significance level of α = 0.01. The value of the test statistic is z = 1.23.

a.

Is H₀ rejected?

b.

If the true value of μ is 50, is the result a Type I error, a Type II error, or a correct decision?

A test of H₀: μ = 50 versus H₁: μ ≠ 50 is performed using a significance level of α = 0.01. The value of the test statistic is z = 1.23.

a.

Is H₀ rejected?

b.

If the true value of μ is 50, is the result a Type I error, a Type II error, or a correct decision?

A test of H₀: μ = 50 versus H₁: μ ≠ 50 is performed using a significance level of α = 0.01. The value of the test statistic is z = 1.23.

a.	Is H₀ rejected?
b.	If the true value of μ is 50, is the result a Type I error, a Type II error, or a correct decision?

Answer 1

Answer #1

a. Here P value is

As P value is greater than alpha, we fail to reject the null hypothesis

b. As from a, we fail to reject the null hypothesis, hence we convlude that mean is 50

And actual value is also 50, so this is a correct decision.

Answer 2

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