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
lina2011 [118]
2 years ago
10

A CBS News/New York Times opinion poll asked 1,190 adults whether they would prefer balancing the federal budget over cutting ta

xes; 59% of those asked said "yes." Suppose that in fact 62% of all adults favor balancing the budget over cutting taxes. If this poll was not biased, what is the probability you would get p^=0.59 or less?
Mathematics
1 answer:
nikklg [1K]2 years ago
7 0

Using the <u>normal distribution and the central limit theorem</u>, it is found that there is a 0.0166 = 1.66% probability of a sample proportion of 0.59 or less.

In a normal distribution with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

  • It measures how many standard deviations the measure is from the mean.  
  • After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
  • By the Central Limit Theorem, the sampling distribution of sampling proportions of a proportion p in a sample of size n has mean \mu = p and standard error s = \sqrt{\frac{p(1 - p)}{n}}

In this problem:

  • 1,190 adults were asked, hence n = 1190
  • In fact 62% of all adults favor balancing the budget over cutting taxes, hence p = 0.62.

The mean and the standard error are given by:

\mu = p = 0.62

s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.62(0.38)}{1190}} = 0.0141

The probability of a sample proportion of 0.59 or less is the <u>p-value of Z when X = 0.59</u>, hence:

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{0.59 - 0.62}{0.0141}

Z = -2.13

Z = -2.13 has a p-value of 0.0166.

0.0166 = 1.66% probability of a sample proportion of 0.59 or less.

You can learn more about the <u>normal distribution and the central limit theorem</u> at brainly.com/question/24663213

You might be interested in
triangle ABC has vertices at A (-12,-8) B (10,-6) and C (6,14. What is the midpoint of side AC of the triangle?
grigory [225]

Step-by-step explanation:

midpoint of AC=(x¹+x²/2,y¹+y²/2)

=(-12+6/2,-8+14/2)

=(-6/2, 6/2)

=(-3,3)

5 0
3 years ago
*WILL GIVE BRAINLIEST IF U GIVE BEST ANSWER AND HELP ME PASS THIS*<br> Solve for g.<br> 2 = g4− 1
KonstantinChe [14]

Answer:

0.75 is it  the answer

Step-by-step explanation:

6 0
2 years ago
what are the five different times in which the minutes before are the same as the minutes after the hour
Romashka [77]
Answered by Norbert J.M..
Hope this helps.

5 0
3 years ago
Find the area of the figure.
Hitman42 [59]

Answer:

91

Step-by-step explanation:

8x13=104-13=91 I have done this problem before on big ideas and it is either this or 87

5 0
3 years ago
Pls asap... use trigonometry to find the area of a regular 20- gon with each side = 6 in
irga5000 [103]

Answer:

Area of polygon[20 sides] = 1,140 inch² (Approx.)

Step-by-step explanation:

Given;

Number of sides = 20 sides

Length of each side = 6 inch

Find:

Area of polygon[20 sides]

Computation:

Perimeter of polygon[20sides] = 20 x Length of each side

Perimeter of polygon[20sides] = 20 x 6

Perimeter of polygon[20sides] = 120 inch

Apothem[Shortest distance from center] = S / 2tan[180/n]

Apothem[Shortest distance from center] = 6 / 2tan[180/20]

Apothem[Shortest distance from center] = 6 / 2tan[9]

Apothem[Shortest distance from center] = 18.94

Apothem[Shortest distance from center] = 19 inch (Approx.)

Area of polygon[20 sides] = [Perimeter x Apothem] / 2

Area of polygon[20 sides] = [120 x 19] / 2

Area of polygon[20 sides] = 1,140 inch² (Approx.)

6 0
3 years ago
Other questions:
  • WXZY is a quadrilateral with W located at (-5, 2) and X is located at (3, 0). What must be the slope of ZY in order for WXYZ to
    8·1 answer
  • What would be the fraction of 1/2 = wht fraction of /8
    10·1 answer
  • a person can paint a room in 6 hours while it takes another person to 5 hours to paint the same room how long would it take them
    5·2 answers
  • Please I really need help on this thank you
    14·1 answer
  • Tickets to a play are priced as follows:
    5·1 answer
  • Misty wants to save money to purchase a new bicycle that cost $279 she opens a savings account and deposit $7 per week based on
    11·1 answer
  • In a litter of 8 puppies, suppose there are 2 brown females, 2 brown males, 1 spotted female, and 3 spotted males. If a puppy is
    14·2 answers
  • Pls can anyone help me!!!!!
    11·1 answer
  • 1. What is true about a function?
    5·1 answer
  • The total volume of a tree increases 6% each year. what will its volume be after 7 years if its volume is 5 cubic meters now?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!