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 the 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 180of them were working.a. Develop a point estimate of the proportion of people aged 65-69 who are working (to 2 decimals).b. Set up a hypothesis test so that the rejection of Ho will allow you to conclude that the proportion of people aged 65-69 working has increased from 2005.Но: р- Select your answer -На: р- Select your answer -c. Conduct your hypothesis test using a =.05p-value- Select your answer -What is your conclusion?- Select your answer -

Question
Asked Nov 16, 2019
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 the 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 (to 2 decimals).
b. Set up a hypothesis test so that the rejection of Ho will allow you to conclude that the proportion of people aged 65-69 working has increased from 2005.
Но: р
- Select your answer -
На: р
- Select your answer -
c. Conduct your hypothesis test using a =.05
p-value
- Select your answer -
What is your conclusion?
- Select your answer -
help_outline

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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 the 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 (to 2 decimals). b. Set up a hypothesis test so that the rejection of Ho will allow you to conclude that the proportion of people aged 65-69 working has increased from 2005. Но: р - Select your answer - На: р - Select your answer - c. Conduct your hypothesis test using a =.05 p-value - Select your answer - What is your conclusion? - Select your answer -

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Expert Answer

Step 1

It is given that 27% of people aged 65-69 worked. Therefore, population proportion; P is 0.27. It is found that 180 out of 600 people aged 65-69 worked. Let p be the sample proportion.

a.

The sample proportion, p is calculated below.

180
р-.
600
0.30
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180 р-. 600 0.30

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Step 2

b.

The null and alternative hypotheses are given below.

Н:Р-0.27
Н.:Р>0.27
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Н:Р-0.27 Н.:Р>0.27

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Step 3

c.

The test statistic is given and calcul...

(р-Р)
|P(1-Р)
Z =
п
(0.30-0.27)
0.27(1-0.27)
600
0.03
0.01813
1.6547
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(р-Р) |P(1-Р) Z = п (0.30-0.27) 0.27(1-0.27) 600 0.03 0.01813 1.6547

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