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matrenka [14]
3 years ago
5

A cat-lover claims that cats are just as smart as dogs. In order to back this claim up with some evidence she organizes a study

at a large local pet daycare center. A random sample of 40 cats are selected and a random sample of 40 dogs are selected. Each of the selected animals is given one hour with a trainer in which the trainer attempts to teach them to roll over. Upon conclusion of the training, the proportion of dogs and proportion of cats that have learned this skill is computed. The trainer reports that she is 90% confident that the true difference in the proportion of all dogs and all cats (pD – pC) that can learn this skill with one hour of training is between ­–0.05 to 0.28.
Which of the following conclusions can be made based upon this confidence interval?

(A) Because most of the values in the confidence interval are positive, this proves that dogs are smarter than cats
(B) Because the point estimate of the confidence interval is positive, there is convincing evidence that the proportion of all dogs that can learn the skill with one hour of training is greater than the proportion of all cats that can learn the skill with one hour of training.
(C) Because O is contained in the interval, there is not convincing evidence that the proportion of all dogs that can learn the skill with one hour of training differs from the proportion of all cats that can learn the skill with one hour of training.
(D) Because 0.115 is contained in the interval, there is not convincing evidence of a difference in the population proportions.
(E) Because the margin of error of the confidence interval is greater than 0.05, there is not convincing evidence that the proportion of all dogs that can learn the skill with one hour of training differs from the proportion of all cats that can learn the skill with one hour of training.
Mathematics
1 answer:
Veronika [31]3 years ago
7 0

Answer:

(C) Because 0 is contained in the interval, there is not convincing evidence that the proportion of all dogs that can learn the skill with one hour of training differs from the proportion of all cats that can learn the skill with one hour of training.

Step-by-step explanation:

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What is a positive economic statement?

Positive economics is objective and fact-based where the statements are precise, descriptive, and clearly measurable.

What is a normative economic statement?

Normative economics focuses on the ideological, opinion-oriented, prescriptive, value judgments, and "what should be" statements aimed toward economic development, investment projects, and scenarios.

Provide a real world example of each (other than those given in the chapter)

An example of normative economics would be, "We should cut taxes in half to increase disposable income levels." By contrast, a positive or objective economic observation would be, "Based on past data, big tax cuts would help many people, but government budget constraints make that option unfeasible." The provided example is a normative economic statement because it mirrors value judgments. This particular judgment assumes that disposable income levels must be increased

Positive economics deals with objective explanation and the testing and rejection of theories. For example:

A fall in incomes will lead to a rise in demand for own-label supermarket foods

If the government raises the tax on beer, this will lead to a fall in profits of the brewers.

The rising price of crude oil on world markets will lead to an increase in cycling to work

A reduction in income tax will improve the incentives of the unemployed to find work.

A rise in average temperatures will increase the demand for sun screen products.

Higher interest rates will reduce house prices

Cut-price alcohol has increased the demand for alcohol among teenagers

A car scrappage scheme will lead to fall in the price of second hand cars

Please explain why each statement would be considered either positive or normative:

Common observations indicate that discussions around public policies typically involve normative economic statements. A higher degree of disagreements persists in such discussions because neither party can clearly prove their correctness.

Though normative statements are generalized and subjective in nature, they act as the necessary channels for out-of-the-box thinking. Such opinions can form the foundation for any necessary changes that may have the potential to completely transform a particular project. But normative economics cannot be the sole basis for decision-making on key economic fronts. Positive economics fill in for the objective angle that focuses on facts and cause-and-effect. Coupled with positive economics, normative economics may be useful in establishing, generating, and fulfilling new ideas and theories for different economic goals and perspectives.

A clear understanding of the difference between positive and normative economics may lead to better policy-making if policies are made based on a balanced mix of facts (positive economics) and opinions (normative economics). Nonetheless, numerous policies on issues ranging from international trade to welfare are at least partially based on normative economics.

Please include sources with your posting:

Normative economics focuses on the value of economic fairness, or what the economy "should be" or "ought to be."

While positive economics is based on fact and cannot be approved or disapproved, normative economics is based on value judgments

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