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
garik1379 [7]
3 years ago
11

Public opinion in the large city of Bedrock is that 60 percent of the residents are in favor of increasing taxes to fund alterna

tives to drug addiction treatment and 40 percent are against the increase. What is the approximate probability that more than 150 of the residents surveyed will be against increasing taxes if a random sample of 400 residents are surveyed
Mathematics
1 answer:
uysha [10]3 years ago
4 0

Answer: 0.8461

Step-by-step explanation:

Let p be the proportion of residents are against the increase of taxes to fund alternatives to drug addiction treatment.

As per given , we have p=0.40

A random sample is taken with size : n= 400

Expecting sample proportion : \hat{p}=\dfrac{150}{400}=0.375

Now , the probability that more than 150 of the residents surveyed will be against increasing taxes if a random sample of 400 residents are surveyed will be :

P(p>0.375)=P(\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}>\dfrac{0.375-0.40}{\sqrt{\dfrac{0.40(0.60)}{400}}})

=P(z>\dfrac{0.375-0.40}{\sqrt{\dfrac{0.40(0.60)}{400}}})\ \ [\because\ z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}]

=P(z>-1.02)=P(z-z)=P(Z

\approx0.8461  [By z-table]

Hence, the approximate probability that more than 150 of the residents surveyed will be against increasing taxes if a random sample of 400 residents are surveyed is 0.8461 .

You might be interested in
Which value is equivalent to 93.982<br> ОА 911<br> o<br> B<br> 924<br> O c 8111<br> c
notka56 [123]
A 9^11. Or, nine to the eleventh power
5 0
2 years ago
What is 41÷0•2 that is the question I have
Fofino [41]

Answer:

205

Step-by-step explanation:

7 0
3 years ago
Really don't understand this :/ Please help.
andre [41]
I I think you have the correct answer!
5 0
3 years ago
Find the slope of the line passing through the pair of points and describe the line as rising,falling,horizontal or vertical
Nataly_w [17]

To find the slope of a line, we must find the change in y values divided by the change in x values, given by the formula y2-y1/x2-x1 and represented by the variable m. We use our values from the ordered pairs to compute the slope, as follows:

m = (5-1)/(4-2) = 4/2 = 2

Therefore, the slope is 2. Because the slope is positive, this means that the line is rising.

Hope this helps!

4 0
3 years ago
Helpppppppppp fasttttttttttttttttttt
horrorfan [7]

Answer:

first 2 , second 50, third 8

Step-by-step explanation:

5 0
2 years ago
Other questions:
  • The table below shows the ticket rates for whale watching trips offered by Ocean Tours:
    11·1 answer
  • Which systems of equations have no real number solutions? Check all that apply.
    9·2 answers
  • Find the volume of the solid in the first octant bounded by the coordinate planes, the cylinder X^2+Y^2=4 and the plane X+Z=4.
    5·1 answer
  • Solve the porportion 16/50=x/156.25
    7·1 answer
  • Find the slope intercept form of the liner function using the points (-6,6) and (-2,4) Show all work
    14·1 answer
  • What is the median of this data set? O A) 88 OB) 87 OC) 75 OD) 95​
    11·1 answer
  • E/2 &lt; -1 I need help!!! Ty
    9·1 answer
  • [Giving Brainliest] (Please Help!!!) The table shows the number of practice problems completed in 30 minutes in three samples of
    15·2 answers
  • Ted invests $8,310 in a savings account with a fixed annual interest rate of 2% compounded continuously. How long will it take f
    15·1 answer
  • Help me please im in a rush
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!