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.

Respuesta :

Answer:

Reject the null hypothesis

Step-by-step explanation:

From the question we are told that

   The test statistic is  [tex]z_{obt} = +2.21[/tex]

    The level of significance is  [tex]\alpha = 0.05[/tex]

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 [tex]z_{obt} = +2.21[/tex] is

      [tex]P( Z > 2.21) = 0.013553[/tex]

So the p-value  is

       [tex]p-value = P( Z > 2.21) = 0.013553[/tex]

From the values obtained we see that   [tex]p-value < \alpha[/tex]  hence

The decision rule

 Reject the null hypothesis