1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Dmitry [639]
3 years ago
12

A bank sampled its customers to determine the proportion of customers who use their debit card at least once each month. A sampl

e of 50 customers found that only 12 use their debit card monthly. Find a 99% confidence interval for the proportion of customers who use their debit card monthly.
Mathematics
1 answer:
Zinaida [17]3 years ago
3 0

Answer:

(0.084,0.396)

Step-by-step explanation:

The 99% confidence interval for the proportion of customers who use debit card monthly can be constructed as

p-z_{\frac{\alpha }{2}} \sqrt{\frac{pq}{n} }

p=\frac{x}{n}

p=\frac{12}{50}

p=0.24

q=1-p=1-0.24=0.76

\frac{\alpha }{2} =\frac{\0.01 }{2}=0.005

p-z_{\frac{\alpha }{2}} \sqrt{\frac{pq}{n} }

0.24-z_{0.005} \sqrt{\frac{0.24*0.76}{50} }

0.24-2.58(0.0604)

0.24-0.155832

By rounding to three decimal places we get,

0.084

The 99% confidence interval for the proportion of customers who use debit card monthly is (0.084,0.396).

You might be interested in
Simple math. <br> Question 11.
Alborosie

Answer: By 9.1%

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Malika earn $40.25 for three and a half hours of overtime work on Saturday determine Malika's overtime pay rate
Roman55 [17]
Just divide 40.25 by 3.5. You get 11.5. So his pay rate is 11.5 every hour.

I hope this helps :)
8 0
3 years ago
**PLEASE HURRY**
QveST [7]
<h2>For this example I am going to use Cape Coral-Fort Myers Florida which was the fastest growing city of 2017. </h2><h2>As of January of 2000, the population of the city was 102,286, and as of January 1 of 2010, the population was 154,305; therefore, I'm going to examine a population growth over a period of 10 years. </h2><h2>I am going to use the standard model for population growth: </h2><h2> </h2><h2>Where: </h2><h2>= time (in years) </h2><h2>= growth rate </h2><h2>= initial population  </h2><h2>= population after a time  </h2><h2> </h2><h2>Now, I'm going to replace the values in the equation to get : </h2><h2> </h2><h2> </h2><h2> </h2><h2> </h2><h2> </h2><h2> </h2><h2>Finally, I will multiply x by 100% to obtain 4% which the growing rate of Cape Coral-Fort Myers from 2000 to 2010.</h2>
7 0
3 years ago
A surfboard is on sale for 60% off the sale price is $199.00. What was the original price of the surfboard before the sale?
Ivahew [28]

If the sale is of 60% it means that it is being sold for:

100 - 60 = 40%

Now use the rule of three to find the answer:

40 - 199

100- x

(100 * 199) / 40 = x

19900 / 40 = x

497,5 = x

Answer:

\boxed{\bf~The~original~price~is~497,5~dollars.}

Hope it helped,

Happy homework/ study/ exam!

3 0
3 years ago
Read 2 more answers
2x&lt;2 as an inequality
SpyIntel [72]
2x<2
_   __
2   2
x<1
hope this helps
8 0
3 years ago
Read 2 more answers
Other questions:
  • Two in-line skaters, Nell and Kristin, start from the same point and skate in the same direction. Nell skates at 16 miles per ho
    11·1 answer
  • Two number are in the ratio 5:6 and their sum is 44 .Use z as variable
    10·2 answers
  • Number 16: complete the table
    14·2 answers
  • Joe drew 32 pictures in his sketch book. He drew four times as many pictures as Kevin. How many pictures did Kevin draw?
    7·1 answer
  • Which fraction is closest to zero? 8/12, 5/8, 6/10, 2/3
    11·2 answers
  • The sum of x and 3 times y is 5. The difference of x and y is 5. Write two equations and graph to find the value of y.
    8·1 answer
  • Which property fits 7k + 16 + 4k = 6k + 31
    6·1 answer
  • 5(2x-3) –3(x+4)/9?
    15·1 answer
  • Sanam eats 5 almonds daily. How many almonds does she eat in 157 days?​
    5·1 answer
  • F(x)=- x ^ 2 - 1,x ne5\\ -3,x=5 lim x -&gt; 5 f(x) = lim x -&gt; 5 f(x) Find if
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!