A random sample of 35 standard metropolitan statistical areas (SMSAs) was selected and the ratio (per...

A random sample of 35 standard metropolitan statistical areas (SMSAs) was selected and the ratio (per 1,000) of registered voters to the total number of persons 18 years and over was recorded in each area. Use the sample data given to test the research hypothesis that the population average ratio is greater than 675, last year’s average ratio. Use =.025.

802	497	653	600	729	812	743
751	730	635	605	760	681	811
807	747	728	561	696	710	735
641	848	672	740	818	725	646
694	854	674	683	695	803	632

Solutions

Expert Solution

#Null and alternative hypothesis are

H0:=675

Ha:>675

	x	(x-xbar)^2
	802	8110.289
	751	1525.4604
	807	9035.8604
	641	5032.889
	694	321.94612
	497	46200.432
	730	326.06041
	747	1229.0033
	848	18511.546
	854	20180.232
	653	3474.2604
	635	5920.2033
	728	257.83184
	672	1595.4318
	674	1439.6604
	600	12531.203
	605	11436.775
	561	22783.746
	740	787.20327
	683	837.68898
	729	290.94612
	760	2309.489
	696	254.17469
	818	11248.118
	695	287.06041
	812	10011.432
	681	957.46041
	710	3.7746939
	725	170.48898
	803	8291.4033
	743	964.54612
	811	9812.3176
	735	531.63184
	646	4348.4604
	632	6390.8604
sum	24918	227409.89
mean	711.9428571

xbar	sum(x)/n	711.94286
s	sqrt(sum(x-xbar)^2/n-1)	81.783409

xbar=711.94286

s=sample standard deviation=81.783

#test statistics=(xbar-)/s/sqrt(n)

=(711.94286-675)/81.783/sqrt(35)

=2.6723

#degree of freedom =n-1=34

P-value=P(t34>2.673)

P-value=0.0057---- using t-table with corresponding df=34

P-value<0.025 hence reject Ho

#Conclusion:

reject Ho and Conclude that there is sufficent evidence that population average ratio is greater than 675,

orchestra answered 1 year ago

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Subjects

802	497	653	600	729	812	743
751	730	635	605	760	681	811
807	747	728	561	696	710	735
641	848	672	740	818	725	646
694	854	674	683	695	803	632

802	497	653	600	729	812	743
751	730	635	605	760	681	811
807	747	728	561	696	710	735
641	848	672	740	818	725	646
694	854	674	683	695	803	632

802	497	653	600	729	812	743
751	730	635	605	760	681	811
807	747	728	561	696	710	735
641	848	672	740	818	725	646
694	854	674	683	695	803	632