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
Debora [2.8K]
3 years ago
10

In recent years more people have been working past the age of 65. In 2005, 27% of people aged 65–69 worked. A recent report from

the Organization for Economic Co-operation and Development (OECD) claimed that percentage working had increased (USa today, November 16, 2012). The findings reported by the OECD were consistent with taking a sample of 600 people aged 65–69 and finding that 180 of them were working.a. Develop a point estimate of the proportion of people aged 65–69 who are working.b. Set up a hypothesis test so that the rejection of h0 will allow you to conclude that theproportion of people aged 65–69 working has increased from 2005.c. Conduct your hypothesis test using α 5 .05. What is your conclusion?

Mathematics
2 answers:
Taya2010 [7]3 years ago
8 0

Answer:

a) The point estimate of the proportion of people aged 65–69 who are working is p=0.3 or 30%.

b) We can express this null and alternative hypothesis as:

H_0: \pi=0.27\\H_1:\pi\neq0.27

c) We conclude that there is not enough evidence that the proportion of people aged 65–69 who are working has increased from 2005.

Step-by-step explanation:

a) Develop a point estimate of the proportion of people aged 65–69 who are working

If we take into account the sample taken, the point estimate is

p=\frac{180}{600} =0.3

b) Set up a hypothesis test so that the rejection of h0 will allow you to conclude that theproportion of people aged 65–69 working has increased from 2005

To conclude some claim, we have to reject the null hypothesis. In this case, to claim that the proportion has changed and the mean is no longer 27%, we have to reject the null hypotesis that π=0.27.

We can express this null and alternative hypothesis as:

H_0: \pi=0.27\\H_1:\pi\neq0.27

c) Conduct your hypothesis test using α=0.05. What is your conclusion?

First we calculate the standard deviation, as we will need it to calculate the test statistic:

\sigma=\sqrt{\frac{\pi(1-\pi)}{N} } =\sqrt{\frac{0.27(1-0.27)}{600} }=0.01812

In this case, we have a test statistic of

z=\frac{p-\pi-0.5/N}{\sigma} =\frac{0.3-0.27-0.5/600}{0.01812}=1.61

If we take into account that it is a two-tailed test, P-value for z=1.61 is P=0.1074.

As the P-value is bigger than the significance level, the effect is not statistically significant, so the hypothesis can not be rejected.

We conclude that there is not enough evidence that the proportion of people aged 65–69 who are working has increased from 2005.

maw [93]3 years ago
7 0

A point estimate of the proportion of people aged 65–69 who are working is p=0.3 or 30%, a hypothesis test so that the rejection of h0 will allow you to conclude that the  proportion of people aged 65–69 working has increased from 2005 is H_0: π =0.27 and H_1: π not equal to -0.27. My hypothesis test using α 5 .05 is that there is not enough evidence that the proportion of people aged 65–69 who are working has increased from 2005.

<h3>Explanation: </h3>

In recent years more people have been working past the age of 65. In 2005, 27% of people aged 65–69 worked. A recent report from the Organization for Economic Co-operation and Development (OECD) claimed that percentage working had increased (USa today, November 16, 2012). The findings reported by the OECD were consistent with taking a sample of 600 people aged 65–69 and finding

a. Develop a point estimate of the proportion of people aged 65–69 who are working.  By taking into account the sample that taken, the point estimate is   p=\frac{180}{600} =0.3

b. Set up a hypothesis test so that the rejection of h0 will allow you to conclude that the  proportion of people aged 65–69 working has increased from 2005.

In this case to claim that the proportion has changed and the mean is no longer 27%, we have to reject the null hypotesis (π=0.27). The null and alternative hypothesis are:

H_0: \pi = 0.27\\ H_1 : \pi \neq 0.27

c. Conduct your hypothesis test using α 5 .05. What is your conclusion?

Calculating the test statistic:

\sigma=\sqrt{\frac{\pi(1-\pi)}{N} } =\sqrt{\frac{0.27(1-0.27)}{600} } = 0.01812

The test statistic

z=\frac{p-\pi-0.5/N}{\sigma} =\frac{0.3-0.27-0.5/600}{0.01812}=1.61

It is a two-tailed test, P-value for z=1.61 is P=0.1074.

The hypothesis can not be rejected because as the P-value is bigger than the significance level, the effect is not statistically significant

Therefore there is not enough evidence that the proportion of people aged 65–69 who are working has increased from 2005.

Learn more about hypothesis brainly.com/question/11555274

#LearnWithBrainly

You might be interested in
Please help I don't understand
Yuri [45]
If they are similar they are by a ration of 1:2 but you dont know all the angles or all the sides.
6 0
3 years ago
8,706, 2812<br> What is the value of 7
LiRa [457]

Answer:

7 million is the answer to this question

5 0
3 years ago
In reading class, Phillip read 38 of a book. Alicia read 58 of the same book.
Otrada [13]

Answer:

phillip

Step-by-step explanation:

because phillip read 38 books and alicia read 1 book 58 time and the reason i picked phillip cause he read different books with more pages and alicia read the same book that probably had a little bit of pages

sorry if it is wrong

5 0
2 years ago
The sum of two number is 14 and their different 6
STatiana [176]
8+6=14 and 14-8=6 so the 2 numbers are 8 and 6
8 0
3 years ago
Read 2 more answers
Jack made 9 identical bags using 5 yards of fabric. How much fabric did Jack use for each bag? Solve on paper and check your wor
meriva

Answer: 5/9 yards

Step-by-step explanation:

From the question, we are informed that Jack made 9 identical bags using 5 yards of fabric.

To calculate the amount of fabric that Jack use for each bag, we have to divide 5 by 9. Thus will be:

= 5 / 9

Therefore, it means that Jack used 5/9 yards for each bag

5 0
2 years ago
Other questions:
  • Bennett tried to solve exercise 1 a few different ways. Which of his methods are correct? Of the other methods, which makes the
    14·1 answer
  • 69 (-7 •9) how do i expand this
    12·1 answer
  • The function f is defined by f(x)=2.1x−1.7. Use this formula to find the following values of f. f(x+2)
    15·1 answer
  • Sean buys 3 quarts of ice cream. He wants to serve as many 1-cup portions as possible.
    5·1 answer
  • EMERGENCY!
    9·2 answers
  • HELP ME IM STUCK ANSWER IT QUICK
    15·1 answer
  • Calculate the slope of a line that passes through the points (3, -20) and (5, 8).
    9·2 answers
  • Butter kruse made 522 glaze donuts and 323 chocolate covered donuts. They put the donuts in boxes. Each box holds 12 donuts. How
    12·1 answer
  • Y is a random variable that is distributed N(-16, 1.21). Find k such that Prob(-15.043 &lt; Y ≤ k) = 0.1546. (Round your answer
    11·1 answer
  • NO LINKS!!!! Find the equation of the circle below​
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!