Question

A researcher tests a new drug on a sample of known schizophrenic patients, hypothesizing it will reduce their symptoms. After the drug trial their symptom scores are assessed (higher scores = more disordered, lower scores = more healthy). This score is converted into a z score of -2.11. The researcher used an alpha of .05.

a. What is the p-value for this study?

b. What do you conclude from this test?

c. What does the p value mean or what does it tell us? Explain the information it conveys about the mean score obtained for the tested sample

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Answer 1

A researcher tests a new drug on a sample of known schizophrenic patients, hypothesizing it will reduce their symptoms.

Hypothesis:

H0: A new drug on a sample of known schizophrenic patients, does not reduces their symptoms.

H1: A new drug on a sample of known schizophrenic patients, reduces their symptoms.

From the test we get Z = -2.11 and we have given = 0.05

In excel use the command = NORMSDIST(-2.11) = 0.0174

Hence we get -  P value = 0.0174

b) Decision rule:

If P value then reject H0.

If P value >   Then Fail to reject H0.

Here we get P value = 0.0174 < 0.05  

Hence  we Reject H0.

c) Here we are rejecting H0. That means we are supporting H1.

Hence we can say that -

A new drug on a sample of known schizophrenic patients, reduces their symptoms.

Hope this will help you. Thank you :)