Suppose a researcher is conducting a hypothesis test for a mean and finds a test statistic of z=2.3z=2.3 . Which of the choices is true, if the alternative hypothesis is one‑sided (????>????0)(μ>μ0) ?

a. The result is not significant at the 0.050.05 level.
b. The result is significant at the 0.010.01 level.
c. The result is significant at the 0.020.02 level.
d. The result is not significant at the 0.020.02 level.

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ChiKesselman ChiKesselman · Answer 1 · 2020-01-15T04:20:10+01:00

Answer:

Option c. The result is significant at the 0.020.02 level.

Step-by-step explanation:

We are given the following in the question:

We are conducting a one tailed hypothesis test with alternate hypothesis

[tex]H_A: \mu > \mu_0[/tex]

The z test calculated for the same is

z=2.3

We calculate the p-value from the standard normal table.

p value = 0.010724 at 0.05 significance level.

The result is significant

p value = 0.010724 at 0.01 significance level.

The result is not significant

p value = 0.010724 at 0.02 significance level.

The result is significant at 0.02 significance level.

Thus, the correct answer is

Option c. The result is significant at the 0.020.02 level.