Question

The answer choices below represent different hypothesis tests. Which of the choices are left-tailed tests? Select all correct answers. Select all that apply:

A) H0:X=17.3, Ha:X≠17.3
B) H0:X=19.7, Ha:X<19.7
C) H0:X=11.2, Ha:X<11.2
D) H0:X=13.2, Ha:X≠13.2
E) H0:X=17.8, Ha:X>17.8

Answer 1

`\text{B)}H_0:X=19.7,\ H_a:X<19.7\\\\\text{C)} H_0:X=11.2,\ H_a:X<11.2`

Explanation:

We know that the type of hypothesis test depends upon the nature of alternative hypothesis
`H_a` . If the alternative hypothesis is left-tailed then the test is also left-tailed.

Similarly for right tailed and two tailed hypothesis.

From the given options , the set of hypothesis with left-tailed alternative hypothesis are :-

`\text{B)}H_0:X=19.7,\ H_a:X<19.7\\\\\text{C)} H_0:X=11.2,\ H_a:X<11.2`

Therefore , in choices B) and C) , the hypothesis test is left-tailed test.