Question

g The test statistic of z=2.27 is obtained when testing the claim that p≠0.826. 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 α=0.01​, should we reject H0 or should we fail to reject H0​?

Answer 1

Answer: a. Hypothesis test is two tailed as
`H_a` is two tailed.

b. p-value =p-value

c. We failed to reject
`H_0`.

Explanation:

Given : Test statistic : z = 2.27

Claim: p ≠ 0.826 i.e. Alternative hypothesis :
`H_a:p\\eq0.826` [ alternative hypothesis takes ≠]

a. Hypothesis test is two tailed as
`H_a` is two tailed.

b. The two-tailed p-value for z=2.27 is 0.0232. [By p-value table]

c. Using a significance level of α=0.01,

p value > α

so we failed to reject
`H_0`. [When p-value > α we cannot reject null hypothesis.]