Question

A null and alternative hypothesis are given. Determine whether the hypothesis test is​ left-tailed, right-tailed, or​ two-tailed. Upper H 0​: p less than or equals 0.8 Upper H Subscript a​: p greater than 0.8

Answer 1

Answer: The test is right-tailed test.

Explanation:

We decide whether the test is one tail or two tail by looking at the alternative hypothesis.

If alternative hypothesis is two tailed then we apply two tail test and if alternative hypothesis is left tailed/ right tailed then we apply two left -tailed / right tailed test respectively.

Given : Null hypothesis :
`H_0:\ p\leq0.8`

Alternative hypothesis :
`H_a: p>0.8`

Here , the alternative hypothesis is right-tailed since it represents the presence of tail at right.

Therefore, the test is right-tailed test.

Answer 2

The given hypothesis test is​ right-tailed test.

Explanation:

Given information:

Null hypothesis of the test is

`H_0:p\leq 0.8`

Alternative hypothesis of the test is

`H_a:p>0.8`

We need to find whether the hypothesis test is​ left-tailed, right-tailed, or​ two-tailed.

In one-tailed test, the sample proportion would be higher or lower than the population proportion, but not both.

If population proportion not equal 0.8, then it is two tailed test.

If population proportion is less than 0.8, then it is left tailed test.

If population proportion is grater than 0.8, then it is right tailed test.

In the given alternative hypothesis population proportion is grater than 0.8. Therefore the given hypothesis test is​ right-tailed test.