Question

Psychologists Teenie Matlock and Caitlin Fausey asked students to read two very similar sentences about a hypothetical politician named Mark. These sentences were:

Sentence A: “Last year, Mark was having an affair with his assistant and was taking hush money from a prominent constituent.”

Sentence B: “Last year, Mark had an affair with his assistant and took hush money from a prominent constituent.”

Of the ninety-eight students who read Sentence A, sixty-five felt the politician would not be re-elected. Of the ninety-four students who read Sentence B, forty-eight felt the politician would not be re-elected. This time, use a normal approximation test of p₁-p₂ to determine if the wording used in this sentence has an effect on how people feel about the politician, at the α = 0.05 level of significance, and compare your results to those in Question 6.

Let p₁ denote the proportion of individuals who feel the politician will not be re-elected after reading sentence A, and p₂ the corresponding proportion for sentence B.

The critical value(s) for this test is/are . (Report critical values as they appear in the table. If there are two critical values, report them both separated by only a single space.)

The test statistic for the normal approximation test is z₀ = . (Round all sample proportions to 3 decimal places, and use these rounded values in calculating the test statistic. Round your answer to 3 decimal places, if applicable.)

Using Minitab Express, the P-value for this test is . (Do not round.)

Answer 1

crtiical values = -1.96 ,1.96

test statistic zo =2.140

p value =0.0324