Questions A, B and C please A random sample of n, - 293 voters registered in the state of California showed that 141 voted in the last general election. A random sample of n, - 212 registered voters in the state of Colorado showed that 126 voted in the most recent general election. Do these data indicate that the population proportion of voter tumout in Colorado is higher than that in Califormia? Lse a 5% level ofsicnificance.A USE SALTWhat is the level of significance?State the null and alternate hypotheses.O H P, -Pi H: P P2e Hi P - Pi H P, P2O Hg: P - Pai H: P> P2O Hgi P < Pai H: P - P2(b) What sampling distribution will you use? What assumptions are you maiing?The Student's t. The number of trials is sufficiently large.The Student's t. We assume the population distributions are approimately normal.• The standard normal. We assumepopulation distributions are approximately normal.O The standard normal. The number of trials is suficiently large.What is the value of the sample test statistic? (Test the difference P, -P. Do not use rounded values. Round your final answer to two dedmal places. )O(C) Find (ar estimate) the Pvalue. (Round your answer to four decimal places.)

Name: Questions A, B and C please A random sample of n, - 293 voters registe
Uploaded: 2024-03-20T06:38:44.000Z
Channel: Bartleby
Description: Questions A, B and C please A random sample of n, - 293 voters registered in the state of California showed that 141 voted in the last general election. A random sample of n, - 212 registered voters in the state of Colorado showed that 126 voted in t

Given, For California shows that, n1=293 x1=141 For Colorado shows that, n2=212 x2=126 p1=x1n1=141293=0.481229 p2=x2n2=126212=0.59434a) level of significance is 0.05 or 5% a) Hypothesis : H0 : p1 = p2 VsH1 : p1 < p2 b) The standard normal table, we assume population distribution is approximately normal. Test statistics : p=(n1×p1)+(n2+p2)n1+n2 =(293×0.481229)+(212×0.59434)293+212 =141+126293+212 =267505 p=0.528713 SE=p(1-p)(1n1+1n2) =0.5287(1-0.5287)(1293+1212) =0.528713×0.471287(0.003413+0.004717) =0.249176×0.00813 =0.002026 SE = 0.045009 z=p1-p2SE =0.481229 - 0.524340.045009 =-0.113110.045009 z=-2.51309 p value = 0.00598Decision : Here, p value (0.00598) < level of significance (0.05) Hence, We reject null hypothesis. Conclusion : From the test, we have enough evidence to suggest that The population proportion of voters of Colorado is higher than California.