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
inessss [21]
1 year ago
7

Goofy's fast food center wishes to estimate the proportion of people in its city that will purchase its products. Suppose the tr

ue proportion is 0.07. If 313 are sampled, what is the probability that the sample proportion will be less than 0.04
Mathematics
1 answer:
serg [7]1 year ago
5 0

The probability that the sample proportion will be less than 0.04 is <u>0.0188 or 1.88%</u>.

The true proportion given to us (p) = 0.07.

The sample size is given to us (n) = 313.

The standard deviation can be calculated as (s) = √[{p(1 - p)}/n] = √[{0.07(1 - 0.07)}/313] = √{0.07*0.93/313} = √0.000207987 = 0.0144217.

The mean (μ) = p = 0.07.

Since np = 12.52 and n(1 - p) = 291.09 are both greater than 5, the sample is normally distributed.

We are asked the probability that the sample proportion will be less than 0.04.

Using normal distribution, this can be shown as:

P(X < 0.04),

= P(Z < {(0.04-0.07)/0.0144217}) {Using the formula Z = (x - μ)/s},

= P(Z < -2.0802)

= 0.0188 or 1.88% {From table}.

Thus, the probability that the sample proportion will be less than 0.04 is <u>0.0188 or 1.88%</u>.

Learn more about the probability of sampling distributions at

brainly.com/question/15520013

#SPJ4

You might be interested in
Help ASAP please
Agata [3.3K]

Answer:

55,000

Step-by-step explanation:

I already explained it on another problem but I'll show the equation again.

0.74x = 40,700

x = 55,000

7 0
3 years ago
How do I find the slope​
cricket20 [7]

Answer:

plot the numbers

Step-by-step explanation:

8 0
2 years ago
Factor Completely: 100x2 - 1
fredd [130]

Answer:

d

Step-by-step explanation:

100x² - 1 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b), thus

100x² - 1

= (10x)² - 1²

= (10x - 1)(10x + 1) → d

3 0
3 years ago
What is |1-8i|?<br><br> A.<br> B.<br> C<br> D
kondor19780726 [428]

9514 1404 393

Answer:

  (b) √65

Step-by-step explanation:

The modulus of a complex number is the root of the sum of the squares of the real and imaginary parts.

  |1 -8i| = √(1² +(-8)²) = √(1+64) = √65

3 0
2 years ago
1. The current in a clothes washer is 15A when plugged into a 120V outlet. What is
mylen [45]

Answer:

Step-by-step explanation:

Power = Force × Velocity.

15*120=1800

7 0
3 years ago
Other questions:
  • Write the standard form of the line that contains a slope of 2/3 and passes through the point (1,1). Include your work in your f
    15·1 answer
  • What is the distance between points A and B?
    14·2 answers
  • Jonathan runs 4 days a week. Each day, he runs 4 laps that are each 2 miles long. He spends 208 minutes running each week. He ru
    9·1 answer
  • On her first quiz in social studies, Meg answered 92% of the questions correctly. On her second quiz, she answered 27 out of 30
    5·2 answers
  • Three times a number plus 12 minus 5 times the same number is 22. What is the number?
    8·1 answer
  • Help me on all please
    6·1 answer
  • How do you solve -b+b=-4
    9·1 answer
  • How many three digit numbers greater than 500 can you form using the digits 2 6 8 exactly once each
    5·1 answer
  • What is the solution to 34x+95=3(14x +9)
    8·1 answer
  • A line is parallel to the line y = x and passes
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!