Two researchers conducted a study in which two groups of students were asked to answer 42 trivia questions from a board game. The students in group 1 were asked to spend 5 minutes thinking about what it would mean to be aprofessor, while the students in group 2 were asked to think about soccer hooligans. These pretest thoughts are a form of priming. The 200 students in group 1 had a mean score of 23.7 with a standard deviation of 4.1, while the 200 students in group 2 had a mean score of 16.4 with a standard deviation of 3.5.

Determine the 95% confidence interval for the difference inscores, 12. Interpret the interval.

The lower bound is __

The upper bound is __

(Round to three decimal places asneeded.)

2.Conduct a test at the =0.05 level of significance by determining (a) the teststatistic, and(b) theP-value. Assume the samples were obtained independently from a large population using simple random sampling.

Test whether p1>p2. The sample data are x1=128, n1=255, x2=135, and n2=318.

What is the test static and p value? Round into two decimal places.