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
telo118 [61]
3 years ago
9

A study showed that 14 of 180 publicly traded business services companies failed a test for compliance with Sarbanes-Oxley requi

rements for financial records and fraud protection. Assuming that these are a random sample of all publicly traded companies, construct a 95% confidence interval for the overall noncompliance proportion. (Round your answers to 4 decimal places.)
Mathematics
1 answer:
Vika [28.1K]3 years ago
4 0

Answer:

The 95% confidence interval for the overall noncompliance proportion is (0.0387, 0.1169).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 180, \pi = \frac{14}{180} = 0.0778

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.0778 - 1.96\sqrt{\frac{0.0778*0.9222}{180}} = 0.0387

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.0778 + 1.96\sqrt{\frac{0.0778*0.9222}{180}} = 0.1169

The 95% confidence interval for the overall noncompliance proportion is (0.0387, 0.1169).

You might be interested in
When considering order of operations (PEMDAS), addition will ALWAYS come before subtraction.
Sergeeva-Olga [200]

Parenthises

Exponent

Multiply

Divide

Add

Subtract

The answer is true because it comes before subtraction in the phrase PEMDAS.

7 0
2 years ago
Read 2 more answers
Number 12. Find angle ADE
mr_godi [17]

Answer:

ADE=59º

Step-by-step explanation:

4x+15+13x+7=90

17x+22=90

17x=68

x=4

angle B=angle ADE so we plug in x=4 into 13x+7

13(4)+7=59º

5 0
2 years ago
Read 2 more answers
PLZZ HELP ITS AN EMERGENCY THIS IS DUE IN 30 MINUTES!!!​
Nataly_w [17]

Answer:

1.equation

2. inverse operations

3. 3.7

4. 8

5. yes its a solution because 58=58

6. not a solution

7. 10.3

9. 9

11. 64

12. 2.1

Step-by-step explanation:

4 0
3 years ago
A department store offers free samples of a 2-ounce
Nataly_w [17]

Answer:

The situation you are describing can be written as y=2x, or in this case t=2f, for every fragrance purchased there are 2 ounces of lotion that are given. Since the ounces of fragrance are not shown in this question, we can only make the graph on the ounces of lotion for every fragarance purchased. The points of the graph represent that for every fragrance bought, there is twice the amount of that in ounces of lotion. In summary,  the rule is t=2f where t would equal purchases of fragrance and f would equal the ounces of lotion.

(If there is any more you would like to add to the question I can answer that.)

8 0
3 years ago
HCF AND LCM of 32 and 48 using the prime factorisation​
torisob [31]

Answer:

Below.

Step-by-step explanation:

32 = 2*2*2*2*2

48 = 2*2*2*2*3

So The GCF = 2*2*2*2 = 16.

LCM = 2*2*2*2*2*3 = 96

3 0
2 years ago
Other questions:
  • A cone has a volume of 12 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of?
    6·1 answer
  • What times what equals 12 but still equals 11? the equation is 5n to the 2nd power + 19+12
    13·1 answer
  • How do i find the area of this regular hexagon? picture is included
    13·1 answer
  • What is the common denominator of 14 and 8
    7·2 answers
  • Can anyone do this question with work please​
    10·1 answer
  • Use linear regression to find the equation for the linear function that best fits this data. Round both numbers to two decimal p
    7·1 answer
  • Questions number 1
    9·1 answer
  • Find the area of the triangle<br> A)<br> B)<br> 09<br> 11 ft2<br> D)<br> 224²
    15·1 answer
  • PLEASE HELP ME OUT? it's an assignment due in an hour!
    13·2 answers
  • 40 points <br> need help please asap
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!