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3 December, 16:45

Suppose a random sample of 90 companies taken in 2006 showed that 14 offered high-deductible health insurance plans to their workers. A separate random sample of 120 firms taken in 2007 showed that 30 offered high-deductible health insurance plans to their workers. Based on the sample results, can you conclude that there is a higher proportion of companies offering high-deductible health insurance plans to their workers in 2007 than in 2006 ? Conduct your hypothesis test at a level of significance alphaequals0.01.

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  1. 3 December, 17:21
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    Step-by-step explanation:

    Given that a random sample of 90 companies taken in 2006 showed that 14 offered high-deductible health insurance plans to their workers. A separate random sample of 120 firms taken in 2007 showed that 30 offered high-deductible health insurance plans to their workers.

    H0: p1=p2

    Ha: p1
    (Two tailed test at99%)

    Difference 14.44 %

    Chi-squared 5.883

    DF 1

    Significance level P = 0.0153

    Since p >0.01, our alpha reject null hypothesis.

    NO. Based on the sample results, you can not conclude that there is a higher proportion of companies offering high-deductible health insurance plans to their workers in 2007 than in 2006
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