19.Is the sample size of n=1200 large enough to use this inferentialprocedure?a.Nob.Yes, since n ≥ 30c.Yes, since the central limit theorem works whenever proportions areused.d.Yes, since both np and nq are greater than or equal to 15.
20-21Inc. Technologyreported the results of consumer survey in which300 Internet users indicated their level of agreement with thefollowing statement: "The government needs to be able to scanInternet messages and user communications to prevent fraud andother crimes."The possible responses were "agree strongly","agree somewhat", "disagree somewhat", and "disagree strongly".The number of Internet users in each category is summarized in thetable.RESPONSENUMBERAgree Strongly60Agree Somewhat110Disagree Somewhat80Disagree Strongly50___In order to determine whether the true proportions of Internet usersin each response category differ, a one-way chi-square analysis wasconducted.The STATISTIX printout follows.
MULTINOMIAL TESTHYPOTHESIZED PROPORTIONS VARIABLE: HYPPROPOBSERVED FREQUENCIES VARIABLE:RESPONSEHYPOTHESIZEDOBSERVEDEXPECTEDCATEGORYPROPORTIONFREQUENCYFREQUENCY(1)AGRESTRG0.256075.00(2)AGRESOME0.2511075.00(3)DISASTRG0.258075.00(4)DISASOME0.255075.00OVERALL CHI-SQUARE14.805P-VALUE0.0337DEGREES OF FREEDOM20.Specify the null hypothesis for testing whether the true proportions ofInternet users in each response category are equal.3
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21.Give a value ofwhich leads you to conclude "no evidence of differencesamong the proportions of Internet users in the four response categories."