A researcher would like to examine how the chemical tryptophan, contained in foods such as turkey, can affect mental alert ness. A sample of n = 9 college students is obtained, and each student's performance on a familiar video game is measured before and after eating a traditional Thanksgiving dinner including roast turkey. The average score dropped by MD = 14 points after the meal with SS = 1152 for the difference scores. 1. Is there a significant difference in performance before eating versus after eating? Use a two-tailed test with a = .05. Show all calculations. a. State the research hypotheses b. Identify the critical value c. Calculate the test statistic d. Evaluate the null hypothesis

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A: Design of experiment

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.