In: Statistics and Probability
Suppose a random sample of 90 U.S. companies taken in 2005 showed that 38 offered high-deductible health insurance plans to their workers. A separate random sample of 110 firms taken in 2006 showed that 59 offered high-deductible health insurance plans to their workers. Based on the sample results, can you conclude that there is a higher proportion of U.S. companies offering high-deductible health insurance plans to their workers in 2006 than in 2005? Conduct your hypothesis test at a 0.01 significance level.
a. State the null and alternate hypotheses
b.What is the level of significance?
c. What is the value of the test statistic?
d. Compute the p-value
e. What is your decision regarding the null hypothesis? Interpret the result.