Question

(a) Find the p - value for the test statistic ?=1.88z=1.88 for the following null and alternative hypotheses:
?0:?=50H0:μ=50
??:?>50HA:μ>50
The p - value is  

(b) Find the p - value for the test statistic ?=2.05z=2.05 for the following null and alternative hypotheses:
?0:?=50H0:μ=50
??:?≠50HA:μ≠50
The p - value is

A) Consider testing

?0:?=.50H0:p=.50
??:?<.50Ha:p<.50

If the sample information produced a test statistic of ?=−1.17z=−1.17, then

p-value =

Answer 1

A)the test statistic ?=1.88 for the following null and alternative hypotheses:
?0:?=50
??:?>50

P- value = P( Z > z) = P( Z > 1.88)

P- value = 0.0301

B)the test statistic ?=2.05 for the following null and alternative hypotheses:
?0:?=50
??:?≠50

P- value = P( |Z| > |2.05| )

P-value = 0.0404

And Consider testing

?0:?=.50
??:?<.50

If the sample information produced a test statistic of ?=−1.17, then

P- value = P( Z < -1.17)

P- value = 0.1210

Thank You!

Please help me out by giving the thumbs up?