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
SOVA2 [1]
3 years ago
6

A research center project involved a survey of 851 Internet users. It provided a variety of statistics on Internet users. (a) Th

e sample survey showed that 92% 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.)
Mathematics
1 answer:
kotykmax [81]3 years ago
8 0

Answer:

The answer is "(0.9193924 , 0.9206076)".

Step-by-step explanation:

\text{sample proportion}\ (SP) = 0.92\\\\\text{sample size}\ n = 851\\\\\text{Standard error} \ SE = \sqrt{\frac{(SP \times(1 - SP)}{n})}\\\\

                              =  \sqrt{\frac{(0.92  \times (0.08)}{851})}\\\\= \sqrt{\frac{0.0736}{851}}\\\\=  \sqrt{8.648\times 10^{-5}}\\\\=0.00031

\text{CI level is}\ 95\% \\\\\therefore\\\\ \alpha = 1 - 0.95 = 0.05\\\\\frac{\alpha}{2} = \frac{0.05}{2} = 0.025\\\\ Z_c = Z_{(\frac{\alpha}{2})} = 1.96

Calculating the Margin of Error:

ME = z_{c} \times SE\\\\

       = 1.96 \times 0.00031\\\\ = 0.0006076

CI = (SP - z*SE, SP + z*SE)

      = (0.92 - 1.96 * 0.00031 , 0.92 + 1.96 * 0.00031)\\\\ = (0.92 - 0.0006076 , 0.92 +  0.0006076)\\\\= (0.9193924 , 0.9206076)

You might be interested in
Plzzzzzzz helpppp right answer gets brainly
Citrus2011 [14]

Answer:

Algebra I believe

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What value of x is in the solution set of 9(2x + 1) &lt; 9x - 18? <br> -4<br> -3<br> -2<br> -1
Anastaziya [24]

Answer:

The only possible answer that is correct is the first one, x = -4.

Step-by-step explanation:

Simplify the given inequality as much as possible, and then substitute each of the given x values one by one to determine which is in the solution set.

9(2x + 1) < 9x - 18 becomes 18x + 9 < 9x - 18, which, if reduced by dividing all four terms by 9, becomes 2x + 1 < x - 2.

Simplifying further, we get x < - 3.  The only possible answer that is correct is the first one, x = -4.  -4 < -3 is true.

8 0
2 years ago
Read 2 more answers
Alexis cell phone company charges her $35 a month for phone service plus $0.40 for each text message. How many text message does
r-ruslan [8.4K]

Answer:

$92.50

Step-by-step explanation:

$72 - $35 = 37

37 / 0.40 = 92.5

Answer = $92.50

8 0
3 years ago
Jing participates in a trivia contest. He completes each question in 1/2 minute.
jolli1 [7]

Answer:

300 seconds

Step-by-step explanation:

First, you have to know how much half a minute is. Half a minute is 30 seconds.

Second, you multiply 30 by 10 because he answered 10 questions.

30 * 10 = 300

So your answer is  300 seconds

Lastly, have a great day! :)

7 0
3 years ago
a recent survey shows that 16% of college students have dogs and 38% have an HBO subscription. assuming these two events are ind
Nataly_w [17]

Answer: 0.939\ or\ 93.9\%

Step-by-step explanation:

Given

Survey shows that 16% of college students have dogs and 38% have HBO subscription

Probability that a random person have both is

\Rightarrow P_o=0.16\times 0.38\quad [\text{As both events are independent}]\\\Rightarrow P_o=0.0608

The probability that the random person has neither of the two is

\Rightarrow P=1-P_o\\\Rightarrow P=1-0.0608\\\Rightarrow P=0.939

3 0
2 years ago
Other questions:
  • What is the solution to the equation 1/3 (9x-6)2x=3
    7·1 answer
  • Answer these Please
    7·1 answer
  • COME ON ITS 1 QUESTION FOR 50 POINTS!
    10·2 answers
  • Find the volume of a cylinder with 14 inches height and 10.2 inches radius
    13·1 answer
  • Brad colors 25% of the total shapes on his paper. He colors 9 shapes
    14·1 answer
  • Is every relation also a function? Explain. No. A relation is a special type of function where each input maps to exactly one ou
    7·1 answer
  • PLS HELP I NEED THIS ASAP PLS ANSWER CORRECTLY!!!!! THE QUESTION IS IN THE PICTURE BELOW!!!
    12·2 answers
  • Fred drew 2/3 on a number line. Sara broke her number line into 6 equal pieces but found the same fraction on the number line as
    8·1 answer
  • Answer this please will give brainliest
    8·2 answers
  • What is the slope of the line that passes through the points (1, -7) and (1, 13)?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!