Question

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Laura is a psychology major who is conducting a project for her research methods class. She hypothesizes that science majors are different from liberal arts majors when in comes to religiosity. (a flower case alpha) = .01). She takes a random sample of 15 science majors and another of 14 liberal arts majors finding that the average religiosity score for science majors is 7.4 with a standard deviation of 2.3 while liberal arts majors have a mean of 6.5 with a standard deviation of 3.1. Use this information to conduct a two-tailed test of the means, answering all the parts A-E below. A: State your null and research hypothesis in symbols and identify the significance level. B: Identify the critical value(s) of the appropriate test statistic C: Compute the appropriate obtained test statistic D: Apply the appropriate decision rules and illustrate the test outcome E: Interpret your results 152 words C

Answer 1

Science Arts H₂ = 14 ñ = 6.5 n =15 X, a 7.4 Ši = 2:3 S2 = 3.1 state Hypothesis Hall reypothesis ; Ho: di - Mg =0 Alternate Hypothesis, has up - Moto significance lovel (2) 0.01 B2 critical values olf = n, th₂-2 df = 27 x= 001 dig = 0.005 tlo.oos , F297) † 2.771 (using t-table) so critical value - 9. 777 are $ 2.771

- As Ngu population we will t'stad - standard deviation is unknown use t test statistic (, - Xe) -(-4g) sgtch, -) + s> (nz-A) (tithe) I nitro -q t stat a (7.4-6.5 , so sport (09, 0 C to 4,7 15 tstet a 0.8921 (ell within the critical How tsrat is salues so Do not reject Null Hypothesis ce) At d20.01 we have insufficient evidence to claim that science major are different from liberal arts major,