Question

If LaTeX: z_{obt}z o b t= +2.21, do you reject LaTeX: H_0H 0 or fail to reject LaTeX: H_0H 0 using a one-tailed test in the upper tail with α = .05? Why do you make that choice? Note: Be sure to type in the correct answer in the space provided here.

Answer 1

Reject the null hypothesis

Explanation:

From the question we are told that

The test statistic is
`z_(obt) = +2.21`

The level of significance is
`\alpha = 0.05`

Given that this a one tailed in the upper tail then from the z table the area under the normal curve to the right corresponding to
`z_(obt) = +2.21` is

`P( Z > 2.21) = 0.013553`

So the p-value is

`p-value = P( Z > 2.21) = 0.013553`

From the values obtained we see that
`p-value < \alpha` hence

The decision rule

Reject the null hypothesis