The P-value for a significance test is 0.0586. a.Will you reject the null hypoth

Question

The P-value for a significance test is 0.0586.


a.Will you reject the null hypothesis at level a = 0.05? (Yes or No)

b.Will you reject the null hypothesis at level a = 0.01? (Yes or No)

c.A test of the null hypothesis H0 : µ = µ0 gives test statistic z = 0.64. What is the P-value if the alternative is Ha : µ > µ0 ? Use 4 decimal places.

d.What is the P-value if the alternative is Ha : µ < µ0 ? Use 4 decimal places.

e.What is the P-value if the alternative is Ha : µ ? µ0 ? Use 4 decimal places.
Response:

Explanation / Answer

a.Will you reject the null hypothesis at level a = 0.05? (Yes or No)
If the p-value is smaller than or equal to alpha, then reject the null hypothesis.
If the p-value is greater than alpha, then do not reject the null hypothesis.
In your case, 0.0586 > 0.05, so the answer is no, you would not reject the null.

b.Will you reject the null hypothesis at level a = 0.01? (Yes or No)
The answer is still no, 0.0586 > 0.01.

c.A test of the null hypothesis H0 : µ = µ0 gives test statistic z = 0.64. What is the P-value if the alternative is Ha : µ > µ0 ? Use 4 decimal places.
p-value = P(Z > 0.64) = 0.2611
You eilther look up this number in table or you use program like Excel or a stat package.

d.What is the P-value if the alternative is Ha : µ < µ0 ? Use 4 decimal places.
p-value = P(Z < 0.64) = 0.7389

e.What is the P-value if the alternative is Ha : µ ? µ0 ? Use 4 decimal places.
If the alternative is a 2-tailed test,   0, then p-value = 2*P(Z > 0.64) = 0.5222.

Hope this helps,

Mike

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