Please read this http://onlinestatbook.com/2/case_studies/animal_research.html b

Question

Please read this http://onlinestatbook.com/2/case_studies/animal_research.html before answering the following questions.

Please show all the work. I must be able to recreate your answer with the information you present

29. (AR) What percentage of the women studied in this sample strongly agreed (gave a rating of 7) that using animals for research is wrong?

30. (AR) Use the proportion you computed in #29. Compute the 95% confidence interval on the population proportion of women who strongly agree that animal research is wrong.

31. (AR) Compute a 95% confidence interval on the difference between the gender means with respect to their beliefs that animal research is wrong.

Explanation / Answer

Q.29 (AR) This is the given data in the excel file.

Here women = 1 and Male = 2

so Number of women = 17

and number of women strongly agrred that using animal reaserch for research is wrong = 7

percentage of the women studied in this sample strongly agreed = 7/17 = 0.4117

Q.30 Here n = 17 , and p^ = 0.4117

so std . deviation s= sqrt (p(1-p)/N) = sqrt [ 0.4117 * 0.5883/ 17] = 0.1194

95 % confidence interval = p^ + Zcriticl * s = 0.4117 + - 1.96 * 0.1194 =
(0.1777, 0.6457)

Q.31 Compute a 95% confidence interval on the difference between the gender means with respect to their beliefs that animal research is wrong.

Xmen - women = 5.3529 - 3.8823 = 1.471

sp = sqrt [ (16 * 1.72782 + 16 * 1.6562 )/ ( 16 + 16) ] = 1.6923

standard error of the estimate smale - female = sp * sqrt [ 1/n1 + 1/n2 ] = 1.6923 * sqrt [ 2/16] = 0.5983

so 95% confidence interval

= Xmen - women +- t0.025, 32 smale - female

= 1.471 +- 2.3518 * 0.5983

= ( 0.0639, 2.878)

GENDER WRONG NECESSAR 2 3 5 2 2 7 2 3 5 2 5 5 2 6 4 2 4 4 2 7 7 2 2 6 2 6 2 2 3 4 2 3 6 2 6 5 2 5 2 2 4 6 2 1 7 2 4 4 2 2 6 1 5 5 1 5 5 1 5 5 1 2 6 1 3 5 1 7 2 1 7 5 1 4 5 1 7 2 1 5 5 1 7 1 1 7 3 1 5 5 1 3 5 1 5 5 1 7 3 1 7 1

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