A Washington Post article from 2009 reported on public support for a government-run health care plan to compete with private insurers. The article found that seven in 10 Democrats backed the plan, while almost nine in 10 Republicans opposed it. Independents were divided, with 52% against and 42% in favor of the legislation. There were 819 Democrats, 566 Republicans, and 783 Independents surveyed.

1. 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, the article says 'seven in 10 Democrats back. the plan,
while almost nine in 10 Republicans oppose it. Independents divide 52 percent against, 42 percent
in favor of the legislation. " (6% responded with "other".) There were 819 Democrats, 566
Republicans and 783 Independents surveyed. (a) A political pundit on TV claims that a majority of
Independents oppose the health care public option plan. Do these data provide strong evidence to
support this statement? Write the hypotheses used to test the pundit's statement: H0:
Pindependentagainst=.52Ha:Pindependentagainst.52H0:Pindependentagainst=.5Ha:
Pindependentagainst=.52H0:Pindependentagainst=.5Ha:Pindependentagainst. What is the test
statistic for this hypothesis test? Also report the values of z around your calculated z from the
ttable. (Give answers to 3 decimal places) <1z=1< What is the p-value associated with this
hypothesis test? Include the precise p-value from software in the center of the inequality. (Give
probabitities to 4 decimal places) cp=