100 6.26 The Daily Show: A 2010 Pew Research foundation poll indicates that among 1,099 college graduates, 33% watch The Daily Show. Meanwhile, 22% of the 1,110 people with a high school degree but no college degree in the poll watch The Daily Show. A 95% confidence interval for (Pcollege grad-PHS or less), where p is the proportion of those who watch The Daily Show, is (0.07, 0.15). Based on this information, determine if the following statements are true or false, and explain your reasoning if you identify the statement as false. (data:dailyShow) (a) At the 5% significance level, the data provide convincing evidence of a difference between the proportions of college graduates and those with a high school degree or less who watch The Daily Show. false O true (b) We are 95% confident that 7% less to 15% more college graduates watch The Daily Show than those with a high school degree or less. O true O false (c) 95% of random samples of 1,099 college graduates and 1,110 people with a high school degree or less will yield differences in sample proportions between 7% and 15%. O false O true (d) A 90% confidence interval for (Pcollege grad-PHS or less) would be wider. O true O false (e) A 95% confidence interval for (PHS or less - 000 O false O true Pcollege grad) is (-0.15,-0.07).

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6.26 The Daily Show: A 2010 Pew Research foundation poll indicates that among 1,099 college graduates,
33% watch The Daily Show. Meanwhile, 22% of the 1,110 people with a high school degree but no college
degree in the poll watch The Daily Show. A 95% confidence interval for (Pcollege grad-PHS or less), where p
is the proportion of those who watch The Daily Show, is (0.07, 0.15). Based on this information, determine
if the following statements are true or false, and explain your reasoning if you identify the statement as
false. (data:dailyShow)
(a) At the 5% significance level, the data provide convincing evidence of a difference between the
proportions of college graduates and those with a high school degree or less who watch The Daily Show.
O false
O true
(b) We are 95% confident that 7% less to 15% more college graduates watch The Daily Show than those with
a high school degree or less.
O true
O false
(c) 95% of random samples of 1,099 college graduates and 1,110 people with a high school degree or less
will yield differences in sample proportions between 7% and 15%.
O false
O true
(d) A 90% confidence interval for (Pcollege grad -000 PHS or less) would be wider.
O true
O false
(e) A 95% confidence interval for (PHS or less -Pcollege grad) is (-0.15,-0.07).
O false
O true
Transcribed Image Text:6.26 The Daily Show: A 2010 Pew Research foundation poll indicates that among 1,099 college graduates, 33% watch The Daily Show. Meanwhile, 22% of the 1,110 people with a high school degree but no college degree in the poll watch The Daily Show. A 95% confidence interval for (Pcollege grad-PHS or less), where p is the proportion of those who watch The Daily Show, is (0.07, 0.15). Based on this information, determine if the following statements are true or false, and explain your reasoning if you identify the statement as false. (data:dailyShow) (a) At the 5% significance level, the data provide convincing evidence of a difference between the proportions of college graduates and those with a high school degree or less who watch The Daily Show. O false O true (b) We are 95% confident that 7% less to 15% more college graduates watch The Daily Show than those with a high school degree or less. O true O false (c) 95% of random samples of 1,099 college graduates and 1,110 people with a high school degree or less will yield differences in sample proportions between 7% and 15%. O false O true (d) A 90% confidence interval for (Pcollege grad -000 PHS or less) would be wider. O true O false (e) A 95% confidence interval for (PHS or less -Pcollege grad) is (-0.15,-0.07). O false O true
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