An urban economist wishes to test the claim that the distribution of U.S residents in the US is different today than in 200. In 200, 19% of the population of the US resided in the Northeast, 22.9% resided in the Midwest, 35.6% resided in the South, and 22.5% resided in the West. The economist randomly selects 1500 households in the US and obtains the following.

Northeast: 272
Midwest: 303
South: 564
West: 359

Is there convincing evidence that the distribution of US residents in the US is different today than in 2000? Preform an appropriate test of significance to test the economist's claim at a .01 significance level.

Answers

Answer 1

We have convincing evidence to suggest that the distribution of US residents in the US is different today than in 2000 at a 0.01 significance level.

What is the explanation for the above response?

To test whether the distribution of US residents in the US is different today than in 2000, we can use a chi-square goodness-of-fit test. The null hypothesis is that the observed distribution is the same as the expected distribution from 2000, and the alternative hypothesis is that the observed distribution is different from the expected distribution.

We can calculate the expected number of households in each region under the null hypothesis as follows:

Expected Northeast = 1500 * 0.19 = 285

Expected Midwest = 1500 * 0.229 = 344.85

Expected South = 1500 * 0.356 = 534

Expected West = 1500 * 0.225 = 337.5

We can use the formula for the chi-square test statistic:

χ² = Σ (observed - expected)² / expected

where the sum is taken over all categories.

Using the observed and expected values from above, we can calculate:

χ² = [(272 - 285)² / 285] + [(303 - 344.85)² / 344.85] + [(564 - 534)² / 534] + [(359 - 337.5)² / 337.5]

= 11.841

The degrees of freedom for this test are (4-1) = 3.

Using a chi-square distribution table with 3 degrees of freedom and a significance level of 0.01, the critical value of χ² is 11.345. Since our calculated χ² value of 11.841 is greater than the critical value of 11.345, we can reject the null hypothesis.

Therefore, we have convincing evidence to suggest that the distribution of US residents in the US is different today than in 2000 at a 0.01 significance level.

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Related Questions

4. Compare a baby's concept of the world to a three-year-old's concept of the
world

Answers

A baby's concept of the world, typically in the first few months of life, is limited to their immediate sensory experiences. They rely heavily on their senses of touch, taste, smell, sight, and sound to explore and understand the world around them.

What is the concept?

Their concept of the world is primarily centered around their caregivers, basic needs (such as feeding, sleeping, and comfort), and the immediate environment they are in.

On the other hand, a three-year-old's concept of the world is more developed and expanded compared to a baby's. By the age of three, children have gone through significant cognitive, emotional, and social development. They have acquired more language skills and are able to express themselves more effectively. Their understanding of the world is broader and more complex, as they have started to make sense of their surroundings and interact with others.

Some key differences between a baby's concept of the world and a three-year-old's concept of the world include:

Language development: A three-year-old has a significantly greater vocabulary and language skills compared to a baby. They can understand and use more words to communicate their thoughts, feelings, and ideas. This allows them to have more meaningful interactions with others and better understand the world around them.

Lastly, Cognitive development: A three-year-old has a more advanced cognitive development compared to a baby. They can engage in simple problem-solving tasks, have a basic understanding of cause and effect, and can make simple connections between objects, events, and people in their environment.

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b. What are the advantages and disadvantages of a shorter-term versus a
term loan? (5 points)

Answers

Advantages of a shorter-term loan:

Lower overall interest payments: With a shorter-term loan, the total amount of interest paid over the life of the loan is typically lower compared to a longer-term loan. This means you may save money in interest payments.

What are Loans?

Others are:

Faster debt repayment: Shorter-term loans allow you to pay off the debt faster, which can help you become debt-free sooner. This can free up cash flow for other purposes and provide a sense of financial freedom.

Lower risk of default: Since shorter-term loans have a shorter repayment period, there is a lower risk of defaulting on the loan. This is because the loan is paid off relatively quickly, reducing the chances of unforeseen events affecting your ability to repay the loan.

Disadvantages of a shorter-term loan:

Higher monthly payments: Due to the shorter repayment period, monthly payments for shorter-term loans are typically higher compared to longer-term loans. This can put a strain on your monthly budget, as you'll need to allocate more funds towards loan payments.

Reduced borrowing capacity: Shorter-term loans may result in a lower borrowing capacity compared to longer-term loans. This is because the higher monthly payments may affect your debt-to-income ratio, which lenders use to assess your creditworthiness. This may limit your ability to borrow for other purposes, such as buying a larger asset like a home.

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Please help fill this in,not sure if I’m doing it right
Will mark brainliest!!

Answers

The point where marginal cost equals $15 is at the production of the 7th pizza. Therefore, the firm should produce 7 pizzas.

What is the firm's shut-down price?

The firm's shut-down price is the price at which the firm is indifferent between producing and shutting down.

Using the table provided, we can calculate the missing values:

Variable Cost:

For 0 pizzas, the variable cost is $0.

For 1 pizza, the variable cost is $10.

For 2 pizzas, the variable cost is $12.

For 3 pizzas, the variable cost is $2.

For 4 pizzas, the variable cost is $1.

For 5 pizzas, the variable cost is $2.

For 6 pizzas, the variable cost is $3.

For 7 pizzas, the variable cost is $13.

For 8 pizzas, the variable cost is $16.

For 9 pizzas, the variable cost is $3.

For 10 pizzas, the variable cost is $6.

For 11 pizzas, the variable cost is $4.

Total Cost:

To calculate the total cost, we simply add the variable cost and the fixed cost for each level of output. The fixed cost is not given in the table, so we cannot calculate the total cost.

Average Variable Cost:

To calculate the average variable cost, we divide the variable cost by the level of output.

For example, the average variable cost for 1 pizza is $10/1 = $10.

Average Fixed Cost:

To calculate the average fixed cost, we divide the fixed cost by the level of output.

The fixed cost is not given in the table, so we cannot calculate the average fixed cost.

Average Total Cost:

To calculate the average total cost, we add the average variable cost and the average fixed cost.

The average fixed cost is not given in the table, so we cannot calculate the average total cost.

Marginal Cost:

To calculate the marginal cost, we find the difference in total cost between two consecutive levels of output, and divide by the difference in output.

For example, the marginal cost of producing the 3rd pizza is (Total Cost of 3 pizzas - Total Cost of 2 pizzas) / (3 - 2) = ($12 - $10) / 1 = $2.

Total Revenue:

The total revenue for each level of output is given as $15 times the level of output.

Marginal Revenue:

The marginal revenue for each level of output is $15.

Profit:

To calculate the profit, we subtract the total cost from the total revenue.

The fixed cost is not given in the table, so we cannot calculate the profit.

The firm should produce pizzas up to the point where marginal cost equals marginal revenue.

This is the point where the firm maximizes its profit. From the table, we can see that the marginal cost is increasing as output increases, while the marginal revenue remains constant at $15.

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Which of the following statements about plagiarism is true?
a. Plagiarism is always intentional.
b. Plagiarism is always unintentional.
c. Plagiarism is never unintentional.
O d. Plagiarism is sometimes unintentional.

Answers

The true statement about plagiarism is: d. Plagiarism is sometimes unintentional. While plagiarism can be intentional, it can also be accidental or unintentional. Unintentional plagiarism can occur when a writer fails to properly cite their sources or unintentionally paraphrases too closely to the original source material. It is important for writers to take steps to avoid unintentional plagiarism, such as carefully citing sources and using plagiarism detection tools to check their work.

For more than twenty-five years, the congregation of the Westboro Baptist Church has pick- eted military funerals. Church members believe that God hates the United States, specifically its military, for its tolerance of homosexuality. The picketing has also condemned the Catholic Church for scandals involving its clergy. At the funeral of Marine Corporal Matthew Snyder, picketers held up signs that said, "Thank God for Dead Soldiers, Doom Nations," "America Is Doomed," "Prieand "Youhe protest was peaceful and lasted for about thirty minutes before the funeral began. In Snyder v. Phelps, the Supreme Court ruled that the protest was protected by the Constitution.
A. Identify a provision of the Constitution that is common to Snyder v. Phelps (2011) and Schenck v. United States (1919). B. Explain why the facts of Schenck v. United States led to a different holding in Snyder v. Phelps. C. Describe an action that city or state government officials who disagree with the holding in Snyder v. Phelps could take to limit its impact.

Answers

A. Both Snyder v. Phelps and Schenck v. United States involve First Amendment free speech protections.

What did this involve?

B. Schenck v. United States involved speech that presented a clear and present danger to national security during wartime, whereas Snyder v. Phelps involved speech on a matter of public concern (the military and homosexuality) in a public space, which is given greater protection under the First Amendment.

C. City or state officials who disagree with the holding in Snyder v. Phelps could enact reasonable time, place, and manner restrictions on picketing at funerals, as long as those restrictions do not target the content of the speech.

Additionally, officials could potentially use their authority to create designated protest zones that balance the right to free speech with the privacy and emotional needs of funeral attendees.

Answers

One example in the film Scream (1996) that brings a surprising amount of comedy is the scene where Randy Meeks (played by Jamie Kennedy) is explaining the "rules" of a horror movie to a group of teenagers at a party.

What is the explanation for the above response?

One example in the film Scream (1996) that brings a surprising amount of comedy is the scene where Randy Meeks (played by Jamie Kennedy) is explaining the "rules" of a horror movie to a group of teenagers at a party.

As he goes through the list of horror movie cliches, such as "don't have sex," "never say 'I'll be right back,'" and "never assume the killer is dead," the absurdity of the rules becomes increasingly clear, and the humor of the situation becomes more and more apparent.

Randy's deadpan delivery and the characters' reactions to his speech add to the comedic effect of the scene. Despite being a horror film, Scream uses humor to subvert genre expectations and keep the audience engaged in a unique way.

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