Question

A test of the null hypothesis

*H*_{0}: *μ* = *μ*_{0}

gives test statistic

*z* = −1.24.

(Round your answers to four decimal places.)

(a) What is the *P*-value if the alternative is

*H*_{a}: *μ* >
*μ*_{0}?

(b) What is the *P*-value if the alternative is

*H*_{a}: *μ* <
*μ*_{0}?

(c) What is the *P*-value if the alternative is

*H*_{a}: *μ* ≠
*μ*_{0}?

Answer #1

Solution :

Given that,

z = - 1.24

Using standard normal table,

p value = 0.1075

a ) P(z > - 1.24 )

This is the right tailed test .

1 - P(z < - 1.24)

= 1 - 0.1075

= 0.8925

P-value = 0.8925

Reject the null hypothesis .

b ) P(z < - 1.24) = 0.1075

This is the left tailed test .

Do not reject the null hypothesis .

c ) This is the two tailed test ,

Using standard normal table,

P-value = 2 * P(z > 2.58)

= 2 * 0.8925

= 1.785

P-value = 1.785

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