Question

In: Statistics and Probability

Suppose a survey of 500 people age 18 to 34 indicated that 32.2% of them live...

Suppose a survey of 500 people age 18 to 34 indicated that 32.2% of them live

with one or both of their parents. Calculate and interpret a confidence interval estimate for the true proportion

of all people age 18 to 34 who live with one or both parents. Use a 94% confidence level.

Solutions

Expert Solution

Solution :

Given that,

n = 500

Point estimate = sample proportion = = 0.322

1 - = 1-0.322=0.678

At 94% confidence level

= 1 - 94%  

= 1 - 0.94 =0.06

/2 = 0.03

Z/2 = Z0.03 = 1.881 ( Using z table )   

Margin of error = E = Z / 2 * (( * (1 - )) / n)

=1.881 (((0.322*0.678) /500 )

E = 0.0393

A 94% confidence interval for population proportion p is ,

- E < p < + E

0.322 -0.0393< p < 0.322 +0.0393

0.2827< p < 0.3613

The 94% confidence interval for the population proportion p is : 0.2827< p < 0.3613


Related Solutions

Stacy randomly survey 20 people and asked them how many people live in their home Let...
Stacy randomly survey 20 people and asked them how many people live in their home Let x=the number of people in each household Let n=the number of people surveyed response of the 20 people surveyed: 6 4 4 3 2 2 3 6 4 4 3 3 3 4 3 2 3 2 3 3 1.Obtain a 95% confidence interval for the mean number of people per household 2.Using a=.05, a)If your point estimate, μ>2.8, test to see if there...
Q1. A survey of 500 adults aged 18 – 29 years of age revealed that 285...
Q1. A survey of 500 adults aged 18 – 29 years of age revealed that 285 chose to eat fast food for dinner at least once in the past week. Find the sample proportion of individuals surveyed who ate fast food for dinner at least once in the past week. (Hint: p ^ = x n , where x = # of people who have given characteristic (eat fast food) and n is sample size) Q2. Verify two conditions (...
i need a good survey question to ask 44 people (all 18 years of age or...
i need a good survey question to ask 44 people (all 18 years of age or older) that requires a numerical answer on an interval or ratio scale of measurement.
Development Testing Erikson’s Stages Instructions. Survey a variety of people (varying in age), asking them to...
Development Testing Erikson’s Stages Instructions. Survey a variety of people (varying in age), asking them to identify the major concern in their life right now (“What is the major concern in your life right now?"). You should try to sample at least 3-4 subjects of widely varying ages and/or gender. Transcribe their response(s), indicate age and gender (e.g., 39 year old male). Omit any direct reference to the subject's name.
3. a. A survey of 1000 U.S. adults found that 34% of people said that they...
3. a. A survey of 1000 U.S. adults found that 34% of people said that they would get no work done on Cyber Monday since they would spend all day shopping online. Find the 90% confidence interval of the true proportion. ROUND TO FIVE DECIMAL PLACES b. In a recent year, 6% of cars sold had a manual transmission. A random sample of college students who owned cars revealed the following: out of 129 cars, 23 had manual transmissions. Estimate...
A survey indicated that 28% of tenured university professors are female. Suppose the survey was based...
A survey indicated that 28% of tenured university professors are female. Suppose the survey was based on a sample of 500 professors. The 95% confidence interval for the population proportion, p, is Group of answer choices 0.26 to 0.30 0.24 to 0.32 0.27 to 0.29 0.28 to 0.34
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.
In a sample of 500 people, 325 indicated they would vote in the next presidential election....
In a sample of 500 people, 325 indicated they would vote in the next presidential election. construct a 95% confidence interval estimate for the proportion of people who will vote in the next presidential election.
In a survey of 500 U.S. adults, 45% of them said that lounging at the beach...
In a survey of 500 U.S. adults, 45% of them said that lounging at the beach was their “dream vacation.’ Assuming this to be a simple random sample of U.S. adults, the lower confidence limit of the 95% confidence intervals for the proportion of U.S. adults who consider lounging at the beach to be their dream vacation would equal to;
Suppose Connie is now at the age of 34 and starts savings for her retirement at...
Suppose Connie is now at the age of 34 and starts savings for her retirement at the age of 65. She wants to be able to withdraw $300,000 from her savings account on each birthday after her retirement, with the first withdrawal on her 66th birthday and the last withdrawal on her 88th birthday. (a) She is considering joining a savings plan offered by Insurance Company A, which offers her a return of 10% p.a. throughout the entire period. Assume...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT