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A researcher conducts a hypothesis test to evaluate the effect of a treatment that is expected to increase scores. The hypothesis test produces a z-score of z = 2.27. If the researcher is using a one-tailed test, what is the correct statistical decision?A. Reject the null hypothesis with either α = .05 or α = .01B. Reject the null hypothesis with α = .05 but not with α = .01C. Cannot answer without additional informationD. Fail to reject the null hypothesis with either α = .05 or α = .01

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okpalawalter8

Answer:

The correct option is

Step-by-step explanation:

From the question we are told that  

     The z-score of the hypothesis test is [tex]z = 2.27[/tex]

Given that this is a one-tailed test so we would be considering the right tail

  When we look at the z table we see that the right side of  the area under the standardized normal curve  for  [tex]z = 2.27[/tex] is

   P(z > 2.27) = 0.0116

Now from this obtained value we can see that

       The  P(z > 2.27) > 0.01

        but    P(z > 2.27) < 0.05

Hence the null hypothesis with [tex]\alpha = 0.05[/tex]   but not with [tex]\alpha = 0.01[/tex]

   

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