Examine the table below which estimates the number of voters by race in the 2016 election...

Examine the table below which estimates the number of voters by race in the 2016 election in a particular county. Do the results from the election suggest President Trump earned the expected number of votes from each racial/ethnic group based on their distribution in the county’s population? Performs an appropriate hypothesis test to examine this issue, being sure to list all steps and writing out your conclusion in words. (HINT: Did Trump’s vote proportion match those of the proportion of residents of each racial group)

	% of Residents	Trump (2016)
African-American/Black	16.6	241
Asian	13.9	316
Hispanic/Latino	17.0	169
Other	3.2	68
White	49.3	1464

Expert Solution

Ans:

Chi square test for goodness of fit:

	Percentage	Observed(fo)	Expected(fe)	(fo-fe)^2/fe
African-American/Black	16.60%	241	374.828	47.78
Asian	13.90%	316	313.862	0.01
Hispanic/Latino	17%	169	383.86	120.26
Other	3.20%	68	72.256	0.25
White	49.30%	1464	1113.194	110.55
Total	100.00%	2258	2258.00	278.86

Test statistic:

Chi square=278.86

df=5-1=4

p-value=CHIDIST(278.86,4)=0.0000

Reject the null hypothesis.

The sample data does not suggest that President Trump earned the expected number of votes from each racial/ethnic group based on their distribution in the county’s population.

orchestra answered 2 years ago

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