Question

(1 point) A Washington Post article from 2009 reported that "support for a government-run health-care plan to compete with private insurers has rebounded from its summertime lows and wins clear majority support from the public." More specifically, 71 percent of Democrats back the plan, while almost nine in 10 Republicans oppose it. Independents divide 51 percent in favor of and 42 percent against the legislation. 7% responded with "other". There were 812 Democrats, 566 Republicans and 786 Independents surveyed. Round all results to 4 decimal places.

a. Calculate a 95% confidence interval for the difference between pDemocrat−pIndependent . We have already checked conditions for you.

Lower:

Upper:

b. True or false: If we had picked a random Democrat and a random Independent at the time of this poll, it is more likely that the Democrat would support the public option than the Independent.

Answer 1

Therefore, based on the data provided, the 95% confidence interval for the difference between the population proportions p1​−p2​ is 0.153<p<0.247, which indicates that we are 95% confident that the true difference between population proportions is contained by the interval (0.153,0.247).

TRUE, since 0.5 does not lie in the above confidence interval.

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