Question

5. Perform a hypothesis test to determine if a difference exists in the proportion of uninsured drivers between the states of Mississippi and Tennessee. A random sample of 150 drivers from Mississippi found that 42 were uninsured. A random sample of 125 drivers from Tennessee found that 23 were uninsured. Define Population 1 as Mississippi drivers and Population 2 as Tennessee drivers and use the p-value approach to test this hypothesis with a 10. a. Identify the null and alternative hypotheses b. Set a value for the significance level. c. Determine the appropriate critical value(s). d. Calculate the appropriate test statistic. e. Compare the test statistic with the critical value. f. Calculate the P-value and compare it with the significance level 8- State your conclusions (make sure you explain what this means in context to problem above).

Please show formulas you use, it isn't multiple questions only 1. Teacher likes to break the question into multiple parts to help students with the steps. Thank you :)!

Answer 1

solution a Here Ho Pi=P2 Ho there is no difference between the propoction of uninsured drivers of mississipi & Tennesse. Hi-PIEP2 (two-tailed test) Hi There is a difference between the proportion of wninsured drivers of mississipi & Tennesse. b) The level of significance a=0.1 e critical values=(-1.6us, 1.645 D Given n = 150 x1=U2, pi= = 0.28 n2=125, 22=23 P2 = 23 = 0.184 D- artda - 42+23 2+23 = 023636U - .. nit ng 150+125 Q 1-0.23636U= 0.763636 test statutic - pih Spanit - 0.28-0.184 To.236204 (1-0-763630) (itotta 4.87 @ Here cal z=1.87 1.6u5 so, reject Ho. P-value = 2p(2>187=2(6.0307= 10:0614 here Pvalue coil so, reject to There is sufficient evidence to conclude that there is a differnce between the propoctions of wrinsured drivers of mississipi & Tennesse. 0