A psychology professor flashed a pair of head shots before subjects and asked th

Question

A psychology professor flashed a pair of head shots before subjects and asked them to identify the face that displayed more competence. The subjects didn't know it, but the head shots were the two opposing candidates in the 32 U.S Senate elections of 2004. It turned out that 22 of the candidates who were perceived as more competent by the subjects won the election.

a. To determine the statistical significance of this result, should a one-sided or two-sided test be used?

b. What is p^? What is Po?

c. What is the value of the test statistics?

d. The P-value reported was "P<0.034." Is this correct for a two-sided test?

e. Does the sample size make an important contribution to the power of the test in this situation? Explain.

f. What type of error might the professor be making? What are the consequences of such an error?

Explanation / Answer

a. To determine the statistical significance of this result, should a one-sided or two-sided test be used?

since we need to indentigy yh e face that displayed more competence it would be a one side

b)

p^ 22 / 32 = 0.6875

Po = 0.50 supposing that both head shots are equal competence

Yes it can be correct because p value is a value very lower

e)

Yes it make because the proportion estimate of sample depends of the sample size

f)

Type I error that is reject Ho when Ho is true

Type II error that is fail to reject Ho when Ho is false

conseuqences : you can choose the head shots that is not more competence so it would have consquences like you will loose the election

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