Question

In: Statistics and Probability

Boomerang Generation: The Boomerang Generation refers to the recent generation of young adults who have had...

Boomerang Generation: The Boomerang Generation refers to the recent generation of young adults who have had to move back in with their parents. In a 2012 survey, suppose 160out of 813 randomly selected young adults (ages 18–34) had to move back in with their parents after living alone. In a similar survey from the year 2000, suppose 288 out of 1834young adults had to move back in with their parents. The table below summarizes this information. The standard error (SE) is given to save calculation time if you are not using software.

Data Summary:

number who total number Proportion
Year moved back (x) in survey (n) = (x/n)
2012 160   813 0.19680
2000 288 1834 0.15703

SE = 0.01580

The Test: Test the claim that a greater proportion of all young adults moved back in with their parents in 2012 than in 2000. Use a 0.05 significance level.

(a) Letting 1 be the proportion of young adults that had to move back in with their parents in 2012 and 2 be the proportion from 2000, calculate the test statistic using software or the formulaz =

(12) − δp
SE

where δp is the hypothesized difference in proportions from the null hypothesis and the standard error (SE) given with the data. Round your answer to 2 decimal places.
z =  
To account for hand calculations -vs- software, your answer must be within 0.01 of the true answer.

(b) Use software or the z-table to get the P-value of the test statistic. Round to 4 decimal places.
P-value =  

(c) What is the conclusion regarding the null hypothesis?

reject H0

fail to reject H0    
(d) Choose the appropriate concluding statement.

The data supports the claim that a greater proportion of all young adults moved back in with their parents in 2012 than in 2000.

There is not enough data to support the claim that a greater proportion of all young adults moved back in with their parents in 2012 than in 2000.    

We proved that the harder financial times of 2012 caused a greater proportion of young adults to move back in with their parents.

We reject the claim that a greater proportion of all young adults moved back in with their parents in 2012 than in 2000.

Solutions

Expert Solution


Related Solutions

The term "Boomerang Generation" refers to the recent generation of young adults (ages 18-34) who have...
The term "Boomerang Generation" refers to the recent generation of young adults (ages 18-34) who have had to move back in with their parents. In a 2018 national survey, 210 out of 840 randomly selected young adults had to move back in with their parents. In a similar 2008 national survey, 150 out of 800 randomly selected young adults had to move back in with their parents. You would like to determine if there is a significant difference in the...
Physical activity of obese young adults. In a study on the physical activity of young adults,...
Physical activity of obese young adults. In a study on the physical activity of young adults, pediatric researchers measured overall physical activity as the total number of registered movements (counts) over a period of time and then computed the number of counts per minute (cpm) for each subject (International Journal of Obesity, Jan. 2007). The study revealed that the overall physical activity of obese young adults has a mean of μ = 320 cpm μ = 320   cpm and a...
Mr. and Mrs. John Takahama, a young couple who had been trying unsuccessfully to have a...
Mr. and Mrs. John Takahama, a young couple who had been trying unsuccessfully to have a family for years, underwent a series of tests with a fertility clinic to try to determine the problem. Mr. Takahama was found to have a normal sperm count, and the sperm morphology and motility were normal. Mrs. Takahama's history sheet revealed that she had two episodes of PID during her early 20s, and the time span between successive menses ranged from 21 to 30...
In the recent years, concussions in children and young adults during sporting events has been getting...
In the recent years, concussions in children and young adults during sporting events has been getting more and more attention due to the complications of them. What are concussions, how do they occur, and what are the short and long-term complications and concerns associated with them? Chronic traumatic encephalopathy (CTE) is a major long-term concern associated with repeated brain trauma, such as concussions. Does the research on CTE provide enough evidence for more action to be taken regarding concussions that...
Young Professional magazine was developed for a target audience of recent college graduates who are in...
Young Professional magazine was developed for a target audience of recent college graduates who are in their first 10 years in a business/professional career. In its two years of publication, the magazine has been fairly successful. Now the publisher is interested in expanding the magazine’s advertising base. Potential advertisers continually ask about the demographics and interests of subscribers to Young Professional. To collect this information, the magazine commissioned a survey to develop a profile of its subscribers. The survey results...
How should young adults save toward your retirement? How do young adults know they are on...
How should young adults save toward your retirement? How do young adults know they are on track? Additionally, what are the averages on how much should be saved by age?  
Why can't people donate blood who recently have: a. had a tattoo or a recent piercing?...
Why can't people donate blood who recently have: a. had a tattoo or a recent piercing? b. been recently treated with antibiotics? c. are low on iron? d. if you don't weigh at least 110 lbs? e. is a man who has had anal intercourse with another man? f. have had sex with a sex worker in the past 12 months? g.  previously received blood transfusions during a medical procedure? h. been in a relationship with a drug user (injected)?
A recent survey asked 1244 adults how many years of education they had. The mean was...
A recent survey asked 1244 adults how many years of education they had. The mean was 14.03 years with a standard deviation of 3.31 years (a) Construct a 90% confidence interval for the mean number of years of education. (b) An earlier study suggests the mean was 13.63 in 2001. Does your confidence interval support the claim that the mean remains approximately the same? Why?
A recent survey of 1000 adults between 18 and 40 showed that 34% said they had...
A recent survey of 1000 adults between 18 and 40 showed that 34% said they had no credit cards. Find the 99% confidence interval for the population proportion.
Identify the changes in physical development in young adults.
Identify the changes in physical development in young adults.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT