Question

n a test ofH0:μ= 50 against Ha:μ >50, the sample data yielded the test statisticz= 2.24. Find and interpret the p-value for the test

Answer 1

Here

H0:μ= 50

against

Ha:μ >50

So this is a right-tailed test.

z = 2.24

The p-value will be area to the right side of z = 2.24 in the standard normal distribution.

p-value = 0.0125

So p-value is 0.0125

interpretation:

Whenever the p-value is less than the level of significance then we reject H0 and if the p-value is greater than the level of significance then we do not reject H0.

Here p-value is not given but assuming the standard value of the level of significance = 0.05

as p-value is less than the level of significance we reject H0 and conclude that  μ= 50

If the level of significance is greater than 0.0125 we reject H0 here and conclude that μ= 50

else if the level of significance is less than 0.0125 we do not reject H0 here and conclude that μ> 50

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