In a survey of 3307 adults, 1464 say they startied paying bills online in the la

nitraiddQ

nitraiddQ

Answered question

2021-09-18

In a survey of 3307 adults, 1464 say they startied paying bills online in the last year.
Construct a 99% confidence interval for the population proportion.
Interpret your results. Choose the correct answer below.
A) With 95% confidence, it can be said that the population proportion of adults who say they have started paying bills online in the last year is between the endpoints of the given confidence interval
B) The endpoints of the given confidence interval show that adults pay bills online 99% of the time.
C) With 99% confidence, it can be said that the sample proportion of adults who say they have started paying bills online in the last year is between the endpoints of the given confidence interval.

Answer & Explanation

sweererlirumeX

sweererlirumeX

Skilled2021-09-19Added 91 answers

Step 1
n=3307
x=1464
p^=xn=14643307=0.4427
99%CI
p(z<p<z)=0.99
z=2.576 ( ztable)
Step 2
CI=p^±zp^(1p^}{n}
0.4427±2.5760.4427(10.4427)3307
=0.4427±0.0222
=(0.4205, 0.4649)
(0.421, 0.465)
Interprete: (A)

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