Question

Question Help After an election with a very unexpected result, researchers studied the vote. To determine whether farm subsidies may have played a role in the election results, they looked at election results in 2052 regions. They segmented the counties based on farm subsidy funding. Treat the accompanying data as a random sample of voters within each county type. The results are based on the election results in the various counties. Complete parts (a) through (d) below Click here to view the data. Click here to view the chi-square distribution table. (a) Do the data suggest that the proportion of voters selecting Candidate A is different depending upon the level of funding? State the null and alternative hypotheses. Choose the correct answer below O A. Ho: Phigh Funded "Pedium-Funded Plow-Funded " PNo Funding H: At least one of the proportions differs OB. Ho Voter preference and funding level are dependent H, Voter preference and funding level are independent OC. Ho Voter preference and funding level are independent H, Voter preference and funding level are dependent (b) Compute the test statistic x - (Round to two decimal places as needed) Click to select your answer(s).

Answer 1

Ansa:

Ho: Voter preference level and funding level are independent

Ha: Voter preference level funding level are dependent

Option C is correct

	#observed frequency
		High-Funded	Medium-Funded	Low-Funded	No-Funding	Total
	Candidate A	745	641	513	411	2310
	Candidate B	498	484	437	465	1884
	total	1243	1125	950	876	4194
Expected	Ei=Σrow*Σcolumn/Σtotal	High-Funded	Medium-Funded	Low-Funded	No-Funding	Total
	Candidate A	684.6280401	619.6351931	523.2474964	482.4892704	2310
	Candidate B	558.3719599	505.3648069	426.7525036	393.5107296	1884
	total	1243	1125	950	876	4194
chi square    χ2	=(Oi-Ei)2/Ei	High-Funded	Medium-Funded	Low-Funded	No-Funding	Total
	Candidate A	5.323728118	0.736651142	0.200691229	10.59239261	16.85346
	Candidate B	6.527501037	0.903218757	0.246070456	12.98748775	20.66428
	total	11.85122915	1.639869898	0.446761684	23.57988036	37.51774

df=(r-1)*(c-1)=(2-1)*(4-1)=3

r=no of row

c=no of column

#Test Statistics

$\chi^2_{0}$=sum((Oi-Ei)2/Ei)=37.52

P_value=P($\chi^2_{0}$>37.52)=0

P-value<0.01

Option C is correct

#ie P-value< 0.01 hence we reject Null hypothesis  

Conclusion:

Reject The Ho There is suffucient evidence to conclude that  Voter preference level funding level are dependent