The following is a set of hypotheses, some information from one or more samples, and a standard error from a randomization distribution. Test H0: p 0.28 vs Ha: p 0.28 when the sample has n 900 , and p ^ 0.216 with SE 0.01 . Find the value of the standardized z -test statistic.

Respuesta :

Answer:

The value of the standardized z-test statistic is -6.4.

Step-by-step explanation:

The test statistic is:

[tex]z = \frac{X - \mu}{s}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, and s is the standard error.

0.28 is tested at the null hypothesis:

This means that [tex]\mu = 0.28[/tex]

p ^ 0.216 with SE 0.01

This means that [tex]X = 0.216, s = 0.01[/tex]

Then

[tex]z = \frac{X - \mu}{s}[/tex]

[tex]z = \frac{0.216 - 0.28}{0.01}[/tex]

[tex]z = -6.4[/tex]

The value of the standardized z-test statistic is -6.4.

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