A test of the null hypothesis H 0 : = 0 gives test statistic z = 0.93. (Round yo

Question

A test of the null hypothesis

H0: = 0

gives test statistic z = 0.93. (Round your answers to four decimal places.)

(a)

What is the P-value if the alternative is

Ha: > 0?

(b)

What is the P-value if the alternative is

Ha: < 0?

(c)

What is the P-value if the alternative is

Ha: 0?

Part B)

A test of the null hypothesis

H0: = 0

gives test statistic

z = 0.45.

(Round your answers to four decimal places.)

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

Ha: > 0?

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

Ha: < 0?

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

Ha: 0?

Explanation / Answer

Ans:

A)Test statistic:

z=0.93

a)Right tailed test

p-value=P(z>0.93)=1-0.8238=0.1762

b)Left tailed test

p-value=P(z<0.93)=0.8238

c)Two tailed test

p-value=P(z<-0.93)+P(z>0.93)=2*0.1762=0.3524

B)

Test statistic:

z=-0.45

a)Right tailed test

p-value=P(z>-0.45)=P(z<0.45)=0.6736

b)Left tailed test

p-value=P(z<-0.45)=0.3264

c)Two tailed test

p-value=2*0.6736=1.3472

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