Question

The bank in Cobden, Ontario, has 650 chequing account customers. A recent sample of 50 of these customers showed 26 to have a Visa card with the bank.

Construct the 99% confidence interval for the proportion of chequing account customers who have a Visa card with the bank. (Round the final answers to 3 decimal places.)

The 99% Confidence interval for the proportion of chequing account customers is between___and___.

Answer #1

Sample proprotion = 26 / 50 = 0.52

99% confidence interval for p is

- Z/2 * sqrt [ ( 1 - ) / n] < p < + Z/2 * sqrt [ ( 1 - ) / n]

0.52 - 2.576 * sqrt [ 0.52 ( 1 - 0.52) / 50] < p < 0.52 + 2.576 * sqrt [ 0.52 ( 1 - 0.52) / 50]

0.338 < p < 0.702

99% CI is between **0.338 and 0.702**

The First National Bank of Wilson has 740 checking account
customers. A recent sample of 50 of these customers showed 27 have
a Visa card with the bank.
Construct the 99% confidence interval for the proportion of
checking account customers who have a Visa card with the bank. (Use
z Distribution Table.) (Round your answers to 3 decimal
places.)

The First National Bank of Wilson has 660 checking account
customers. A recent sample of 50 of these customers showed 28 have
a Visa card with the bank. Construct the 98% confidence interval
for the proportion of checking account customers who have a Visa
card with the bank. (Use z Distribution Table.) (Round your answers
to 3 decimal places.)

The First National Bank of Wilson has 660 checking account
customers. A recent sample of 60 of these customers showed 35 have
a Visa card with the bank. Construct the 99% confidence interval
for the proportion of checking account customers who have a Visa
card with the bank. (Use z Distribution Table.) (Round your answers
to 3 decimal places.)
Confidence interval for the
proportion is between
and

The First National Bank of Wilson has 720 checking account
customers. A recent sample of 60 of these customers showed 22 have
a Visa card with the bank.
Construct the 98% confidence interval for the proportion of
checking account customers who have a Visa card with the bank. (Use
z Distribution Table.) (Round your answers to 3 decimal
places.)
Confidence interval for the proportion is between and
.

The First National
Bank of Wilson has 680 checking account customers. A recent sample
of 40 of these customers showed 27 have a Visa card with the
bank.
Construct the 90% confidence interval for the proportion of
checking account customers who have a Visa card with the bank. (Use
z Distribution Table.) (Round your answers to 3
decimal places.)

The First National Bank of Wilson has 680 checking account
customers. A recent sample of 60 of these customers showed 21 have
a Visa card with the bank.
Construct the 90% confidence interval for the proportion of
checking account customers who have a Visa card with the bank. (Use
z Distribution Table.) (Round your answers to 3
decimal places.)

Wachovia Bank has 800 checking account customers. A recent
sample of 60 of these showed 35 to have a Visa card with the
bank.
Construct the 99% confidence interval for the proportion of
checking account customers who have a Visa with the bank.
b. What sample size would be needed if you want the estimated
proportion to be within 4% of the population proportion at the 99%
confidence level?
if possible draw distributions?
Thanks in advance

The First National Bank of Wilson has 600 checking account
customers. A recent sample of 60 of these customers showed 35 have
a Visa card with the bank? Construct the 90% confidence interval
for the proportion of checking account customers who have a Visa
card with the bank.

Of 41 bank customers depositing a check, 15 received some cash
back. (a) Construct a 90 percent confidence interval for the
proportion of all depositors who ask for cash back. (Round your
answers to 4 decimal places.) The 90% confidence interval is from
() to ()

Of 57 bank customers depositing a check, 25 received some cash
back.
(a) Construct a 90 percent confidence interval for
the proportion of all depositors who ask for cash back.
(Round your answers to 4 decimal places.)
The 90% confidence interval is from blank to blank.

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