Question

The test statistic of z= 1.31 is obtained when testing the claim that p>0.7. a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. Find the P-value. c. Using a significance level of a = 0.01, should we reject Ho or should we fail to reject Ho?

Answer 1

Solution :

The null and alternative hypothesis are,

H₀ : p = 0.7 ........... Null hypothesis

H_a: p > 0.7    ........... Alternative hypothesis

Here,  the test​ statistic z = 1.31

Now ,

> sign in Ha indicates that the test is ONE TAILED.

z = 1.31

So , using calculator ,

p-value = P(z > 1.75)

= 0.0951

p value = 0.0951

Since,

p value is greater than the significance level 0.01

Decision:

Fail to Reject the null hypothesis H0