V Check Your Understanding 1. In June 2005, a CBS News/NY Times poll asked a random sample of 1,111 U.S. adults the following question: "What do you think is the most important problem facing this country today?" Roughly 19% of those sampled answered "the war in Iraq" (while the rest answered economy/jobs, terrorism, healthcare, etc.). Exactly a year prior to this poll, in June of 2004, it was estimated that roughly 1 out of every 4 U.S. adults believed (at that time) that the war in Iraq was the most important problem facing the country. We would like to test whether the 2005 poll provides significant evidence that the proportion of U.S. adults who believe that the war in Iraq is the most important problem facing the U.S. has decreased

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V Check Your Understanding
1. In June 2005, a CBS News/NY Times poll
asked a random sample of 1,111 U.S.
adults the following question: "What do
you think is the most important problem
facing this country today?" Roughly 19% of
those sampled answered "the war in Iraq"
(while the rest answered economy/jobs,
terrorism, healthcare, etc.). Exactly a
year prior to this poll, in June of 2004, it
was estimated that roughly 1 out of every
4 U.S. adults believed (at that time) that
the war in Iraq was the most important
problem facing the country.
We would like to test whether the 2005
poll provides significant evidence that the
proportion of U.S. adults who believe that
the war in Iraq is the most important
problem facing the U.S. has decreased
since the prior poll.
a. Which of the following are the
appropriate hypotheses in this case?
Но : р — .19 vs.
Ha:p < 0.19
O Ho:p = .19 vs.
Ha:p > 0.19
О Но:р < 0.25 vs.
Ha:p = 0.25
Но: р — 0.25 vs.
Ha:p < 0.25
O Họ: p = 0.25 vs.
Ha:p + 0.25
The following output is available for
this test:
Test and CI for One Proportion
95%
Opper
Bound 2-Value -Value
N SOmplep
311 1LAA 0. 189919 0.209275
Sumple
0.000
b. The output indicates that: (choose
the best answer)
We have extremely strong
evidence to reject Ho.
We have extremely strong
evidence to reject Ha.
O We have moderatlety strong
evidence to reject Ho.
There is probability of 0 that
Ho is correct.
O There is probability of 0 that
H, is correct.
Transcribed Image Text:V Check Your Understanding 1. In June 2005, a CBS News/NY Times poll asked a random sample of 1,111 U.S. adults the following question: "What do you think is the most important problem facing this country today?" Roughly 19% of those sampled answered "the war in Iraq" (while the rest answered economy/jobs, terrorism, healthcare, etc.). Exactly a year prior to this poll, in June of 2004, it was estimated that roughly 1 out of every 4 U.S. adults believed (at that time) that the war in Iraq was the most important problem facing the country. We would like to test whether the 2005 poll provides significant evidence that the proportion of U.S. adults who believe that the war in Iraq is the most important problem facing the U.S. has decreased since the prior poll. a. Which of the following are the appropriate hypotheses in this case? Но : р — .19 vs. Ha:p < 0.19 O Ho:p = .19 vs. Ha:p > 0.19 О Но:р < 0.25 vs. Ha:p = 0.25 Но: р — 0.25 vs. Ha:p < 0.25 O Họ: p = 0.25 vs. Ha:p + 0.25 The following output is available for this test: Test and CI for One Proportion 95% Opper Bound 2-Value -Value N SOmplep 311 1LAA 0. 189919 0.209275 Sumple 0.000 b. The output indicates that: (choose the best answer) We have extremely strong evidence to reject Ho. We have extremely strong evidence to reject Ha. O We have moderatlety strong evidence to reject Ho. There is probability of 0 that Ho is correct. O There is probability of 0 that H, is correct.
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