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
elixir [45]
3 years ago
13

A research center project involved a survey of 846 internet users. It provided a variety of statistics on internet users. (a) Th

e sample survey showed that 94% of respondents said the internet has been a good thing for them personally. Develop a 95% confidence interval for the proportion of respondents who say the internet has been a good thing for them personally. (Round your answers to four decimal places.) 0.9239 Incorrect: Your answer is incorrect. to 0.9561 Incorrect: Your answer is incorrect. (b) The sample survey showed that 67% of internet users said the internet has generally strengthened their relationship with family and friends. Develop a 95% confidence interval for the proportion of respondents who say the internet has strengthened their relationship with family and friends. (Round your answers to four decimal places.) 0.6385 Incorrect: Your answer is incorrect. to 0.7015 Incorrect: Your answer is incorrect.
Mathematics
1 answer:
I am Lyosha [343]3 years ago
5 0

Answer:

(a) (0.9240,  0.956)

(b) (0.6383, 0.7017)

Step-by-step explanation:

The number of internet users involved in the survey, n = 846

The percentage of the respondents that said the internet has been good thing for them personally, \hat p = 94%

(a) The confidence interval of a percentage is given as follows;

CI=\hat{p}\pm z\times \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

The z-value for 95% confidence interval = 1.96

We get;

CI=0.94\pm 1.96\times \sqrt{\dfrac{0.94 \times (1-0.94)}{846}} \approx 0.94 \pm 1.6003 \times 10^{-2}

CI = 0.9240 ≤ \hat p ≤ 0.956 = (0.9240,  0.956)

(b) The percentage of the internet users that said the internet has directly strengthened their relationship with their families, \hat p = 67% = 0.67

The 95% confidence interval is therefore;

CI=0.67\pm 1.96\times \sqrt{\dfrac{0.67 \times (1-0.67)}{846}} \approx 0.67 \pm 3.1686\times 10^{-2}

From which we have;

CI = 0.6383 ≤ \hat p ≤ 0.7017 = (0.6383, 0.7017)

You might be interested in
Use the x-intercept method to find all real solutions of the equation.<br> x^3-10x^2+29x-20=0
stiks02 [169]

Answer:

X=1,5,4

Step-by-step explanation:

3 0
2 years ago
B. it is the area of a circle with a<br> diameter of 1. <br> True of false
Dominik [7]
It has to be true because you would need to divide
4 0
2 years ago
Suppose you are to select a password of size 4. The first character should be any lowercase letter or a digit, while the second
Goshia [24]

First question seems incomplete :

Answer:

40 ways

Step-by-step explanation:

Question B:

Number of boys = 6

Number of girls = 4

Number of people in committee = 3

Number of ways of selecting committee with atleast 2 girls :

We either have :

(2 girls 1 boy) or (3girls 0 boy)

(4C2 * 6C1) + (4C3 * 6C0)

nCr = n! ÷ (n-r)!r!

4C2 = 4! ÷ 2!2! = 6

6C1 = 6! ÷ 5!1! = 6

4C3 = 4! ÷ 1!3! = 4

6C0 = 6! ÷ 6!0! = 1

(6 * 6) + (4 * 1)

36 + 4

= 40 ways

3 0
2 years ago
"If triangle vuw is equiangular, find k and t
balu736 [363]

The answer is b. k=64 t=52.


5 0
3 years ago
Solve for m -mk-90&gt;85
loris [4]
First add 90 to both sides) -mk>85+90simplify 85+90 to 175) -mk>175divide both sides by K) -m>175/kmultiply both sides by -1) m<-175/k
 YOUR ANSWER IS
M<-175/K 
hope l helped today l was stuck on the same question doing part 2 of alg exam , and l came through your question l hope it's not too late :)
5 0
3 years ago
Other questions:
  • Complete the steps to find 3.18x10
    14·2 answers
  • X(x+1)(x+3)(x+5) - x(x+3)(x+5)
    11·1 answer
  • Which is more 740 yards or 1 mile
    15·2 answers
  • 30-5 • 4+2 how do I solve this
    14·1 answer
  • Factor the Expression. 121x + 44 *<br> 11(10x + 4)<br> 21x + 4<br> 11(11x + 44)<br> 11(11x + 4)
    15·2 answers
  • Find the missing side.
    13·1 answer
  • 11 12 c 16 18 if the mean is 12, which number could c be?​
    9·1 answer
  • 1/3x+y=4<br> how to solve pls hlep
    10·1 answer
  • 15 POINTS! NEED ANSWER RIGHT AWAY!!!
    9·1 answer
  • --<br> △XYZ = △KLM,m Find m
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!