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
balandron [24]
2 years ago
15

This claim is to be investigated at .01 levels. “Forty percent or more of those persons who retired from an industrial job befor

e the age of 60 would return to work if a suitable job were available. “Seventy-four persons out of the 200 sampled said they would return to work
- State the null hypothesis.
- What is the decision rule?
- Compute the value of the test statistic.​
Mathematics
1 answer:
Degger [83]2 years ago
7 0

According to the described situation, we have that:

  • The null hypothesis is H_0: p < 0.4

The decision rule is:

  • z < 2.327: Do not reject the null hypothesis.
  • z > 2.327: Reject the null hypothesis.

The value of the test statistic is of z = -0.866.

<h3>What is the null hypothesis?</h3>

The claim is:

"Forty percent or more of those persons who retired from an industrial job before the age of 60 would return to work if a suitable job were available"

At the null hypothesis, we consider that the claim is false, that is, the proportion is of less than 40%, hence:

H_0: p < 0.4

<h3>What is the decision rule?</h3>

We have a right-tailed test, as we are testing if a proportion is less/greater than a value. Since we are working with a proportion, the z-distribution is used.

Using a z-distribution calculator, the critical value for a right-tailed test with a significance level of 0.01 is of z = 2.327, hence, the decision rule is:

  • z < 2.327: Do not reject the null hypothesis.
  • z > 2.327: Reject the null hypothesis.

<h3>What is the test statistic?</h3>

The test statistic is given by:

z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}

In which:

  • \overline{p} is the sample proportion.
  • p is the proportion tested at the null hypothesis.
  • n is the sample size.

In this problem, the parameters are:

p = 0.4, n = 200, \overline{p} = \frac{74}{200} = 0.37

Hence:

z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}

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

z = -0.866

The value of the test statistic is of z = -0.866.

You can learn more about hypothesis tests at brainly.com/question/16313918

You might be interested in
The graph of an equation is shown below:
olasank [31]

Answer:

(-2, -3)

Step-by-step explanation:

solutions are all the points where the line intersects

5 0
2 years ago
Sketch. Kite qrst has a short diagonal of qs and a ling diagonal of rt. The diagonals intersect at point p. Side qr=5 m and diag
In-s [12.5K]
<u>Answer</u>
4m

<u>Explanation</u>
Δqrp is a right triangle. 
If ps = 6m then, qp = 3m. So we can find line pr using pythagoras theorem. 
rp = √(5²-3²) = √16 = 4m

The Δqrp≡Δqtp.
3 0
3 years ago
Which show’s Cassandra number is rounded to the nearest tenth 2.7, 2.6, 2.65, 2.0 ?
GalinKa [24]

Answer:

2.7

Step-by-step explanation:

if you round 2.65 to the nearest tenth, it is 2.7

5 0
3 years ago
Read 2 more answers
What ions combine together to form<br> water in a neutralization reaction?
Tasya [4]

Answer: it's H^+ and OH^- ions

Step-by-step explanation:

7 0
3 years ago
What is the next fraction in this sequence? Simplify your answer.
attashe74 [19]
The pattern starts at 2/14 and increases by 1/14 each node, so the next fraction is 6/14 which simplifies into 3/7
8 0
3 years ago
Read 2 more answers
Other questions:
  • Enter the values for m, n, and p that complete the difference:
    8·2 answers
  • Plz help!!!!!!!!!!!!!!!
    11·2 answers
  • Which equation could have been used to create this table?
    6·2 answers
  • The point (4, 5) is translated two units left and eight units down. What is the y-coordinate of the image?
    14·2 answers
  • Which expressions are equivalent to -6(b+2)+8−6(b+2)+8minus, 6, left parenthesis, b, plus, 2, right parenthesis, plus, 8 ? Choos
    7·1 answer
  • Which are the soultions of the quadratic equation? x^2=7x+4
    5·1 answer
  • What are the coordinates of the vertex of the function below write your answer in the form y-9= -6(x-1)^2
    8·1 answer
  • Please help I’ve been stuck for an hour!!!
    8·1 answer
  • 2. Simplify each expression.
    6·1 answer
  • A and B are complementary angles. If m_A = (6x + 29) and m
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!