4. A random sample of adult Americans was asked, \"How important are moral value
ID: 3060685 • Letter: 4
Question
4. A random sample of adult Americans was asked, "How important are moral values when deciding how to vote?" The results by political affiliation are show below: Political Affiliation Republican Independent Democrat 662 155 Important 644 670 Not Important56 147 a) If political affiliation and importance of moral values on voting are not related, how many of those surveyed would be expected to say "not important" and be in the "independent" political category? (i.e. what is the expected count)? (1 pt) b) What proportion of those who thought moral values was "not important" were Democrats? (1 pts) c) Does the evidence suggest that political affiliation and importance of moral values on voting are related at the =0.05 level of significance i) Write the null and alternative hypothesis: (2 pts) ii) (2 pts) p-value: Round to 4 decimal places. Calculator function: tate your conclusion in the lanauage of the problem (do not use the words "null "hypothesis", etc.) (2 pts)Explanation / Answer
Ans:
a)Expected count=817*358/2334=125.32
b)P(democrat/not important)=147/358=0.411
c)
i)H0:political affiliation and moral values are not related (independent)
Ha:political affiliation and moral values are related (not independent)
ii)Test statistic:
Chi square score=41.767
df=(3-1)*(2-1)=2
p-value=CHIDIST(41.767,2)=0
iii)As,p-value<0.05,we reject null hypothesis.
There is sufficient evidence to conclude that political affiliation and moral values are related (not independent)
Observed(O) Number of Nights Republican independent Democrat Total Important 644 662 670 1976 Not important 56 155 147 358 Total 700 817 817 2334 Expected(E) Number of Nights Republican independent Democrat Total Important 592.63 691.68 691.68 1976 Not important 107.37 125.32 125.32 358 Total 700 817 817 2334 (O-E)^2/E Number of Nights Republican independent Democrat Total Important 4.453 1.274 0.680 6.406 Not important 24.577 7.032 3.752 35.361 Total 29.030 8.306 4.432 41.767