Question
In: Statistics and Probability
A study of homeless men in the city revealed that out of 242 selected to be...
A study of homeless men in the city revealed that out of 242 selected to be interviewed, 65 had been employed within the last year. Provide a 95% confidence interval for the proportion of all homeless men who had been employed within the past year. Interpret your result.
Solutions
Expert Solution
GIVEN:
Size of homeless men in the city
selected to be interviewed 
Number of homeless men who are
employed within the last year 
FORMULA:
The formula for 95% confidence interval for population proportion is,
where 
is the z
critical value at 95% confidence level.
CRITICAL VALUE:
The two tailed z critical value at
95% confidence level is 
.
CALCULATION:
The sample proportion is given by,
The 95% confidence interval for the proportion of all homeless men who had been employed within the past year is,
The 95% confidence interval
for the proportion of all homeless men who had been employed within
the past year is 
.
Thus we are 95% confident that the true proportion of all homeless
men who had been employed within the past year lies between 0.2127
and 0.3245.
orchestra answered 1 year agoRelated Solutions
A survey revealed that 128 people out of 400 interviewed in a city where the product...
A survey revealed that 128 people out of 400 interviewed in a
city where the product was widely advertised used a household
product, but 115 out of 390 used it in a city where there was no
advertising. Determine whether or not advertising is effective at
the .05 level.
A study conducted by the Metro Housing Agency in a midwestern city revealed the following information...
A study conducted by the Metro Housing Agency in a midwestern
city revealed the following information concerning the age
distribution of renters within the city. (Round your answers to
four decimal places.)
Age
Adult
Population, %
Group Who Are
Renters, %
21-44
44
57
45-64
35
40
65 and over
21
63
(a) What is the probability that an adult selected at random
from this population is a renter?
(b) If a renter is selected at random, what is the...
A study conducted by the Metro Housing Agency in a midwestern city revealed the following information...
A study conducted by the Metro Housing Agency in a midwestern
city revealed the following information concerning the age
distribution of renters within the city. (Round your answers to
four decimal places.)
Age
Adult
Population, %
Group
Who Are Renters, %
21-44
47
63
45-64
35
39
65 and over
18
58
(a) What is the probability that an adult selected at random
from this population is a renter?
(b) If a renter is selected at random, what is the...
A survey of 100 men and 100 women revealed that 15 of the men and 36...
A survey of 100 men and 100 women revealed that 15 of the men
and 36 of the women were more than 20% overweight. Prepare a
contingency table and test the hypothesis that the two gender
groups are homogeneous with respect to being overweight. Please
assume an α=.05
A recent study conducted in both Detroit and Salt Lake City asked single men in their...
A recent study conducted in both Detroit and Salt Lake City
asked single men in their twenties, “What sort of sporting event
would you prefer to attend?” and gave them the three options below.
Results of the survey are presented in the table. Conduct a test at
the alpha=0.025 level to ascertain whether there is a difference in
the pattern of responses between Detroit and Salt Lake City.
Vehicle
Detroit
Salt Lake City
Golf
10
40
Chess
40
10
Extreme...
A recent study conducted in both Detroit and Salt Lake City asked single men in their...
A recent study conducted in both Detroit and Salt Lake
City asked single men in their twenties, “What sort of sporting
event would you prefer to attend?” and gave them the three options
below. Results of the survey are presented in the table. Conduct a
test at the alpha=0.025 level to ascertain whether there is a
difference in the pattern of responses between Detroit and Salt
Lake City.
Vehicle
Detroit
Salt Lake City
Golf
10
40
Chess
40
10
Extreme...
A 1996 study identified 102 out of 852 men as left-handed vs 76 out of 839...
A 1996 study identified 102 out of 852 men as left-handed vs 76
out of 839 women as left handed. The same study also looked at the
difference in intelligence between right- and left-handed people.
In particular, the average IQ of all right-handed persons in the
sample (men and women) was x1 = 97.7, with a standard deviation of
s1 = 15.4, whereas the average IQ of all left-handed persons in the
sample (men and women) was x2 = 100.3,...
1 a). In a recent New York City marathon, 25,221 men finished and 253 dropped out....
1 a). In a recent New York City marathon, 25,221 men finished
and 253 dropped out. Also, 12,883 women finished and 163 dropped
out (based on the data from the New York Times). Use a 0.01
significance level to test the claim that the rate of those who
finish is the same for men and women.
1. State the null hypothesis Ho and alternative hypothesis
Ha.
2. Find the test statistic.
3. Find the P-value.
4. Make a decision -...
A study was conducted on a sample randomly selected from city A. The results are presented...
A study was conducted on a sample randomly selected from
city A. The results are presented in
the table. Based on the information in the table answer
the below questions:
Age groups Number of participants Proportion of female
Relative frequency of
participants
15 years or younger 10 0.4
16-25 years 25 0.6
26-30 years 10 1.0
31 years or older 2 1.0
Are the age groups mutually exclusive?
Based on the number of participants, can you argue for
or against...
In a study of red/green color blindness, 800 men and 3000 women are randomly selected and...
In a study of red/green color blindness, 800 men and 3000 women
are randomly selected and tested. Among the men, 76 have red/green
color blindness. Among the women, 8 have red/green color blindness.
Test the claim that men have a higher rate of red/green color
blindness.
The test statistic is
Construct the 99% confidence interval for the difference between
the color blindness rates of men and women. <(pm−pw)<
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- Question #1 C4H10O with a butanol combustion cycle (formation enthalpy-332,000 kJ / kmol) 25 per cent...
- Suppose a survey revealed that 19% of 494 respondents said they had in the past sold...
- Topic: Choose a company which are you are starting, and a main product or service that...
- 4. Why did the United States and the Soviet Union find themselves in a “Cold War”...
- The Facts: Ann and Bill decided to start a coffee shop. They agreed Bill would provide...
- MARGI sells different types of wine. Customers place orders to the most popular “Summer Wine” at...
- A firm's bonds have a maturity of 8 years with a $1,000 face value, have an...
ADVERTISEMENT