Suppose the claim was that statistics teachers have a differ

Suppose the claim was that statistics teachers have a different average systolic blood pressure than 130. The research and null hypotheses are as follows.

Ha :=130 H0 :=130

(a) Calculate a two sided p-value.

(b) If = 0.05, is there enough evidence to reject H0 and conclude that the Ha is true?

(c) If = 0.1, is there enough evidence to reject H0 and conclude that the Ha is true?

(d) If = 0.05, what is the critical value of Z. (This is a two-sided test, so the critical value is the value of Z such that there is /2 = 0.05/2 = 0.025 area to the right under the standard normal curve.) R commands.

(e) For = 0.05 is the test statistic you calculated in 2(a) larger or smaller than the critical value?

(f) If = 0.05, is there enough evidence to reject H0 and conclude that the Ha is true?

(g) If = 0.1, what is the critical value of Z.

(h) For = 0.1 is the test statistic you calculated in 2(a) larger or smaller than the

critical value?

(i) If = 0.1, is there enough evidence to reject H0 and conclude that the Ha is true?

Solution

a)

to find p value we need more information

b)

if p value is greater than alpha/2 then our decision will be fail to reject Ho

c)

if p value is greater than alpha/2 then our decision will be fail to reject Ho

d)

alpha / 2 = 0.025

Z = +/- 1.96

for the other literals

I can gladly help you but you should post it in a new question