Question

# The p-value and the value of α for a test of Ho: μ = 150 are...

The p-value and the value of α for a test of Ho: μ = 150 are provided for each part.  Make the appropriate conclusion regarding Ho.

1. P-value = .217, α = .10
2. P-value = .033, α = .05
3. P-value = .001, α = .05
4. P-value = .866, α = .01
5. P-value = .025, α = .01

Given,

Null hypothesis Ho : μ = 150

Here we compare the p value & level of significance to give the conclusion about the hypothesis.

If p value < α then we reject the Ho , accept Ha

If p value >= α then we fail to reject Ho.

So now,

a)

P value = 0.217 , α = 0.10

Here p value > α . so we fail to reject Ho.

b)

P-value = .033, α = .05

Here p value < α , so reject Ho

c)

P-value = .001, α = .05

Here p value < α , so reject Ho.

d)

P-value = .866, α = .01

Here p value > α , so we fail to reject Ho

e)

P-value = .025, α = .01

Here p value > α , so we fail to reject the null hypothesis Ho.

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