In a random sample of 765 adults in the United States, 322 say they could not cover a $400 unexpected expense without borrowing money or going into debt.
A.)Find the mean and the standard deviation of p-hat for this sample
B.) Given the sample data in problem (1) above, construct a confidence interval at the 95% confidence level for the true proportion of Americans who could not cover a $400 unexpected expense without borrowing money or going into debt.
C.)4) Finding confidence intervals stems from getting a normal distribution of a sample proportion p-hat. If I estimate my population proportion to be no greater than 95%, what is the smallest sample size I can use to ensure I have a large enough sample to make a confidence interval?
Please help
In: Statistics and Probability
It appears that over the past 50 years, the number of farms in the United States declined while the average size of farms increased. The following data provided by the U.S. Department of Agriculture show five-year interval data for U.S. farms. Use these data to develop the equation of a regression line to predict the average size of a farm (y) by the number of farms (x). Discuss the slope and y-intercept of the model.
| Year | Number of Farms (millions) | Average Size (acres) |
| 1960 | 5.69 | 218 |
| 1965 | 4.70 | 260 |
| 1970 | 3.91 | 298 |
| 1975 | 3.32 | 342 |
| 1980 | 2.95 | 372 |
| 1985 | 2.52 | 419 |
| 1990 | 2.47 | 426 |
| 1995 | 2.31 | 446 |
| 2000 | 2.16 | 459 |
| 2005 | 2.07 | 472 |
| 2010 | 2.18 | 433 |
| 2015 | 2.10 | 443 |
(Do not round the intermediate values. Round your
answers to 2 decimal places.)
y^= ______ +( _____ )x
In: Statistics and Probability
9. In 2018, 77% of the population of Netflix consumers in the United States had a positive opinion of the
service. (remember, a percentage is a proportion x 100, so the population proportion here will be the
77/100)
a) What is the standard error of the sample proportion for a sample of 100 Netflix consumers? and of
200 Netflix consumers? (to 5 decimal places)
b) What is the probability that a random sample of 100 Netflix consumers will have a sample proportion
within 0.03 (
of the population proportion?
±
3%)
c) What is the probability that a random sample of 200 Netflix consumers will have a sample proportion
within 0.03 (
of the population proportion?
±
3%)
d) When sample size increases, we can see that the probability of getting a sample proportion close to
the true population proportion goes ___________ (
up/down
). So, as the sample size increases, point
estimators are likely to become _____________ (
more/less
) accurate.
In: Advanced Math
Rotelco is one of the largest digital wireless service providers in the United States. In a recent year, it had approximately 100 million direct subscribers (accounts) that generated revenue of $31,100 million. Costs and expenses for the year were as follows:
| Cost of revenue | $14,600 |
| Selling, general, and administrative expenses | 10,000 |
| Depreciation | 3,400 |
Assume that 70% of the cost of revenue and 30% of the selling, general, and administrative expenses are variable to the number of direct subscribers (accounts).
a. What is Rotelco's break-even number of
accounts, using the data and assumptions above? Round to the
nearest whole number.
million accounts
b. How much revenue per account would be
sufficient for Rotelco to break even if the number of accounts
remained constant? Round to the nearest dollar.
$ million per account
In: Accounting
10.The distribution of vehicles sales in the United States in the year 2000 was the following:
Type of car Small Midsize Large Luxury
% 32.8 44.8 9.4 3.0
A simple random sample of 500 vehicles sales was taken this year and the Distribution is as follow:
Type of car Small Midsize Large Luxury
% 133 249 47 71
At the 5% significant level, do the data provides sufficient evidence to conclude that the distribution of vehicle sales this year has changed from the 2000 distribution?
In: Statistics and Probability
Is the religious make-up of the United States Congress reflective of that in the general population? The following table shows the religious affiliation of the 535 members of the 114th Congress (2015-2017) along with the religious affiliation of a random sample of 1200 adult Americans. Perform a complete hypothesis test to answer the question. Explain everything!
| protestant | 306 | 616 |
| Catholic | 164 | 287 |
| Mormon | 16 | 20 |
| Orthodox Christian | 5 | 7 |
| Jewish | 28 | 20 |
| Buddhist/Muslim/Hindu/Other | 6 | 57 |
| Unaffiliated/dont know/Refused | 10 | 193 |
In: Statistics and Probability
It appears that over the past 50 years, the number of farms in the United States declined while the average size of farms increased. The following data provided by the U.S. Department of Agriculture show five-year interval data for U.S. farms. Use these data to develop the equation of a regression line to predict the average size of a farm (y) by the number of farms (x). Discuss the slope and y-intercept of the model.
| Year | Number of Farms (millions) | Average Size (acres) |
| 1960 | 5.67 | 209 |
| 1965 | 4.66 | 258 |
| 1970 | 3.99 | 302 |
| 1975 | 3.38 | 341 |
| 1980 | 2.92 | 370 |
| 1985 | 2.51 | 419 |
| 1990 | 2.45 | 427 |
| 1995 | 2.28 | 439 |
| 2000 | 2.16 | 457 |
| 2005 | 2.07 | 471 |
| 2010 | 2.18 | 437 |
| 2015 | 2.10 | 442 |
(Do not round the intermediate values. Round your
answers to 2 decimal places.)
y^= +( )x
In: Statistics and Probability
1.) You are living in the United States and are thinking of traveling to Germany 6 months from now. You can purchase an option to buy euros now at a fixed rate of $1.50 per euro 6 months from now. How is the option like an insurance policy?
3.) You buy stock worth $50. In one year, it pays a dividend of $5 and is worth $60 right after the dividend is paid. What are the dividend income component, price change component and the total return on the stock after one year?
4.) In your own words, what does it mean that common stockholders have a residual claim on the assets of the corporation?
In: Finance
per capita health spending in the united states
a) is comparable to that in most other industrialized nations
b) is the highest than that of all the other industrialized nations
c) is lower than that of most other industrialized natins
d) cannot be measured, too much fluctuation
The federal program known as aid to dependent children
a) was part of the 1935 social security act
b provided federal assistance directly to widows and their children
c) was the result of advocacy efforts by social workers
d) all of the above
In: Economics
18. The financial crisis of 2007 began in the United States with the subprime crisis, but this domestic crisis quickly spread beyond the US. Describe (don’t just list) the FOUR reasons presented for why this crisis became global, in other words the four reasons for the rapid international contagion of the subprime crisis.
In: Economics