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
Solve for z.<br><br> z/4 −2<br> = 2<br><br><br> z =
PilotLPTM [1.2K]

Answer:

z=16

Step-by-step explanation:

z/4-2=2(take l.c.m)

or,(z-8)/4=2

or,z-8=8

z=16

6 0
3 years ago
Please help... need help ASAP
abruzzese [7]

Answer:

c

did the test got it right.

Step-by-step explanation:

7 0
2 years ago
Us the expression (8x + 2) + (- 9x + 7)
malfutka [58]

Answer:

8x2=16 9x7=63

63+16=79

Step-by-step explanation:

7 0
3 years ago
the art club is selling tubo of cookies dough for a fundraiser. how much Will a student earn if he or she sells 24 tus of cookie
just olya [345]

Answer:

if each tub is $12 the student would make $288

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
A pattern follows the rule "Starting with three, every consecutive line has 2 less than twice the previous line."
SVEN [57.7K]
"Starting with three, every consecutive line has 2 less than twice the previous line."

this statement means that
your staring line has 3 marbles. You multiply the 3 marblesby 2 so
3x2=6
And then you minus it by 2
6-2=4

which means that you'll get 4 marbles for the next line.

So to get your 6th line, you count how many marbles is on the 5th line but since your diagram doesn't have the 5th line you have to figure out the 5th line by counting how.many marbles is on the 4th line.

4th line = 10 marbles

10×2=20
20-2=18

5th line = 18

18×2=36
36-2=34

So the 6th line has 34 marbles.
8 0
3 years ago
Other questions:
  • Karim is ordering video games. Each game costs $39.99, and there is a $4.85 shipping charge per order. How much will it cost him
    11·1 answer
  • A car salesperson sells a used car for $8,800 and earns 5% of the sale price as commission. How many dollars does the salesperso
    6·1 answer
  • Which shows the commutative property?
    12·2 answers
  • the slopes of two lines are 2 and -2. because of this we can conclude these two lines are which of the following?
    13·1 answer
  • 5x+3x=420 12x+9=1080 What does x and y equal?
    5·2 answers
  • 1/2r = 7/2. solve for r
    11·2 answers
  • Altitude above sea level is given in
    5·1 answer
  • Find the value of b to the shape
    9·1 answer
  • Allison was comparing the price of salmon at two stores. At SuperGrocery B, 0.5 pounds of salmon costs $2.77. The table below re
    11·1 answer
  • ASAP ASAP ASAP ASAP!!!!! Pls help me <br><br> I didn’t study r.I.p
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!