In Canada, bill C-16 passed with a vote of 248 in favour (Yes), and 40 opposed (No). In other words, 86.1111% of congresspersons voted Yes to bill C-16. A week before the bill was passed, a journalist wants to survey 36 congresspersons to determine the proportion of congresspersons that will vote Yes. What is the probability that the journalist's survey will give the exact same result as the actual vote? In other words, if the journalist surveys 36 congresspersons, what is the probability that 86.1111% of those surveyed will be voting Yes? Hint: You will need to determine what 86.1111% of the 36 is...this will tell you how many Yes's the journalist is looking for... What is the probability that the journalist is within 5% of the actual proportion (86.1111%) of Yes voters?

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In Canada, bill C-16 passed with a vote of 248 in favour
(Yes), and 40 opposed (No). In other words, 86.1111% of
congresspersons voted Yes to bill C-16.
A week before the bill was passed, a journalist wants
to survey 36 congresspersons to determine the
proportion of congresspersons that will vote Yes. What
is the probability that the journalist's survey will give
the exact same result as the actual vote? In other
words, if the journalist surveys 36 congresspersons,
what is the probability that 86.1111% of those surveyed
will be voting Yes?
Hint: You will need to determine what 86.1111% of the
36 is...this will tell you how many Yes's the journalist
is looking for...
What is the probability that the journalist is within 5%
of the actual proportion (86.1111%) of Yes voters?
Hint: You want the number of Yes voters to be within
86.1111% - 5% and 86.1111% + 5% of 36. What are the
possible number of Yes voters that fall within this
range?
Transcribed Image Text:In Canada, bill C-16 passed with a vote of 248 in favour (Yes), and 40 opposed (No). In other words, 86.1111% of congresspersons voted Yes to bill C-16. A week before the bill was passed, a journalist wants to survey 36 congresspersons to determine the proportion of congresspersons that will vote Yes. What is the probability that the journalist's survey will give the exact same result as the actual vote? In other words, if the journalist surveys 36 congresspersons, what is the probability that 86.1111% of those surveyed will be voting Yes? Hint: You will need to determine what 86.1111% of the 36 is...this will tell you how many Yes's the journalist is looking for... What is the probability that the journalist is within 5% of the actual proportion (86.1111%) of Yes voters? Hint: You want the number of Yes voters to be within 86.1111% - 5% and 86.1111% + 5% of 36. What are the possible number of Yes voters that fall within this range?
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