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
Andrew [12]
3 years ago
15

From a survey of coworkers you find that 32​% of 150 have already received this​ year's flu vaccine. An approximate 98​% confide

nce interval is ​(0.231​, 0.409​). ​a) How would the confidence interval change if the sample size had been 600 instead of 150​? ​b) How would the confidence interval change if the confidence level had been 90​% instead of 98​%? ​c) How would the confidence interval change if the confidence level had been 99​% instead of 98​%?
Mathematics
1 answer:
Artyom0805 [142]3 years ago
4 0

Answer:

a) Narrower

b) Narrower

c) Wider            

Step-by-step explanation:

We are given the following in the question:

Proportion of coworker who received flu vaccine = 32​%

98​% confidence interval: (0.231​, 0.409​)

Confidence interval:

\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

​a) Sample size had been 600 instead of 150​

If we increase the sample size, thus the standard error of the interval decreases.

Since the standard error decreases, the confidence interval become narrower.

b) Confidence level had been 90​% instead of 98​%

As the confidence level increases, the confidence interval becomes narrower. This is due to a smaller value of z-statistic at 90% confidence level.​

c) Confidence level had been 99​% instead of 98​%

As the confidence level increases, the width of the confidence interval increases and the confidence interval become wider. This is because of a larger value of z-statistic at 99% confidence interval.

You might be interested in
Why is the greatest common factor of 2 numbers sometimes 1
faltersainse [42]
The greatest common factor of two numbers, one of which is 1, will always be 1.
8 0
3 years ago
Read 2 more answers
Solve for the following 6(16x+3)-2/3(9-12x)+25=0
lutik1710 [3]
First expand the parentheses:-

96x + 18 - 6 + 8x + 25 = 0

104x = -18 + 6 - 25 =  -37

x = -37 / 104 =  -0.3558 
6 0
3 years ago
Which number from the set of numbers {3, 5, 6, 7} makes the equation below TRUE?
beks73 [17]

Answer:

6

Step-by-step explanation:

replace x with 6 in the ecuation.

4(6)=24 - 8 =16

5 0
3 years ago
Read 2 more answers
Solve the system of equations. y=-3x+4 -4x+y=-10​
Angelina_Jolie [31]

Answer:

Step-by-step explanation:

In this particular case we have the following system of equations:

y

=

−

3

x

+

4

[

E

q

.

1

]

x

+

4

y

=

−

6

[

E

q

.

2

]

Substituting

[

E

q

.

1

]

in

[

E

q

.

2

]

:

x

+

4

(

−

3

x

+

4

)

=

−

6

Applying the distributive property on the left side:

x

−

12

x

+

16

=

−

6

Simplifying

:

−

11

x

=

−

22

Solving for

y

:

x

=

−

22

−

11

=

2

Substituting

x

=

2

in

[

E

q

.

1

]

:

y

=

−

3

(

2

)

+

4

=

−

2

Therefore

, the solutions are

x

=

2

and

y

=

−

2

7 0
3 years ago
Read 2 more answers
Erick rode his bike at a constant speed. He traveled 36 miles in 1 1/2 hours. Find her unit rate, in miles per hour
galina1969 [7]

Answer:

24 mph

Step-by-step explanation:

36 ÷1\frac{1}{2}

4 0
3 years ago
Other questions:
  • Express 0.009238 to 3 significant figures​
    5·1 answer
  • In 783341693, what digit is in the ten thousands place?
    14·1 answer
  • Write 2603094 using exponents?
    15·2 answers
  • The last line of a proof represents the given information. the argument. the conclusion. the assumptions.
    11·2 answers
  • Blake snacked on a bag of chips while watching a movie, After the movie 7/8 of the bag remained uneaten. His dog got into the ba
    15·1 answer
  • PLEASE HELP the graph of the function f(x)=5/4sin(x)+1 is shown. what are the key features of this function? (look at photo) ​
    11·1 answer
  • Find the value of x that makes A||B
    8·1 answer
  • Someone<br> someone<br> someone<br> somone
    12·1 answer
  • write the formula for absolute value function if its graph has the vertex at point (0,6) and passes through the point (-1,-2)
    5·1 answer
  • When 7 is subtracted from 3 times a certain number , the result is 28. What is the number
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!