consider-a-hypothesis-test-for-the-proportion-of-a-population-where-the-test-sta

Question

Consider a hypothesis test for the proportion of a population, where the test statistic obtained is $z = - 1.45$ . The claim being tested is that the population proportion is greater than $0.4$ .

i. Determine whether the test is two-tailed, right-tailed, or left-tailed.

ii. Calculate the $p$ -value for this test.

iii. At a significance level of $alpha equals 0.05$ , should we reject the null hypothesis or fail to reject it?

Accepted Answer

i. Right-tailed

ii. $p equals 0.9265$

iii. Fail to reject $H sub 0$

Answer

i. Two-tailed

ii. $p equals 0.9265$

iii. Reject $H sub 0$

Answer

i. Right-tailed

ii. $p equals 0.9265$

iii. Fail to reject $H sub 0$

Answer

i. Left-tailed

ii. $p equals 0.9265$

iii. Fail to reject $H sub 0$