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
slavikrds [6]
2 years ago
14

The claim that 40% of those persons who retired from an industrial job before the age of 60 would return to work if a suitable j

ob was available is to be investigated at the 0.02 significance level. If 74 out of the 200 workers sampled said they would return to work, what is our decision
Mathematics
1 answer:
Bad White [126]2 years ago
7 0

Answer:

The p-value of the test is of 0.1922 > 0.02, which means that there is not significant evidence to reject the null hypothesis, that is, there is not significant evidence to conclude that the proportion is of less than 40%.

Step-by-step explanation:

Test if the proportion is less than 40%:

At the null hypothesis, we test if the proportion is of at least 0.4, that is:

H_0: p \geq 0.4

At the alternative hypothesis, we test if the proportion is of less than 0.4, that is:

H_1: p < 0.4

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

0.4 is tested at the null hypothesis:

This means that \mu = 0.4, \sigma = \sqrt{0.4*0.6}

74 out of the 200 workers sampled said they would return to work

This means that n = 200, X = \frac{74}{200} = 0.37

Value of the test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.37 - 0.4}{\frac{\sqrt{0.4*0.6}}{\sqrt{200}}}

z = -0.87

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion below 0.37, which is the p-value of z = -0.87.

Looking at the z-table, z = -0.87 has a p-value of 0.1922.

The p-value of the test is of 0.1922 > 0.02, which means that there is not significant evidence to reject the null hypothesis, that is, there is not significant evidence to conclude that the proportion is of less than 40%.

You might be interested in
Complete the table below to give the outcomes and the corresponding probabilities<br>​
matrenka [14]
Put a photo or something so we can answer
3 0
2 years ago
To determine whether voters would be willing to vote for a tax increase to improve the city's parks, the park commission surveys
olasank [31]
The answer is C. park users are more likely to be willing to pay more to improve parks
8 0
3 years ago
Read 2 more answers
QUESTION IN PICTURE thx &lt;3
Umnica [9.8K]

Answer:

7 1/9

Step-by-step explanation:

because I know i'm right

6 0
3 years ago
Read 2 more answers
Question in Picture.
almond37 [142]

Answer:

The correct answer would be C

Step-by-step explanation:

3 0
3 years ago
Firemen are using a 60-foot ladder to reach
Katarina [22]

Answer:

  1. This might help a liitle its kind of like the question you are asking.
  2. You might not want to give people 5 points for a long question because most of them might not awnser.

Step-by-step explanation:

Download pdf
5 0
3 years ago
Other questions:
  • A figure in the first quadrant is rotated 180 counterclockwise about the origin. Which quadrant will the rotated figure appear?
    6·1 answer
  • The ratio of dogs to cats at an animal shelter is 2:5 the number of cats is how many times to dogs
    14·1 answer
  • 14540(squared by2) x 35=?
    10·1 answer
  • What is the slope of the line that is perpendicular to the line whose equation is 2x + y = 4. -2 - 2
    9·2 answers
  • Anyone happen to know this? Thanks .
    14·1 answer
  • A banana nut bread recipe calls for 3 cups of flour. If 4 cups of flour weigh a pound, how
    8·1 answer
  • I need a answer to this
    5·1 answer
  • Hep me please this is to much
    5·2 answers
  • PLS HELP ME W/ #8 ASAP
    15·1 answer
  • A ______ is a number formed by multiplying ten by a number.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!