The document presents a statistical problem regarding survey data on the percentage of adults from various countries who favor building new nuclear power plants. It involves a hypothesis test comparing the proportions of adults from Country A and Country B.**Task Details:**1. **State the Claim and Hypotheses:** The claim: "The proportion of adults in Country A who favor building new nuclear power plants in their country is the same as the proportion of adults from Country B who favor building new nuclear power plants in their country." Let $ p_1 $ represent the proportion of adults from Country A and $ p_2 $ represent the proportion from Country B. - Null Hypothesis ($ H_0 $): $ p_1 = p_2 $ - Alternative Hypothesis ($ H_a $): $ p_1 \neq p_2 $2. **Standardized Test Statistic:** Calculate the standardized test statistic $ z $ and round to two decimal places as needed.3. **P-Value Calculation:** Determine the P-value and round it to three decimal places as necessary.4. **Decision Making:** Decide whether to reject or fail to reject the null hypothesis based on the P-value and significance level ($ \alpha = 0.06 $).5. **Conclusion on Original Claim:** Choose the correct conclusion based on the significance level: - A. No, at the 6% significance level, there is sufficient evidence to reject the claim. - B. Yes, at the 6% significance level, there is insufficient evidence to reject the claim. - C. Yes, at the 6% significance level, there is sufficient evidence to reject the claim. - D. No, at the 6% significance level, there is insufficient evidence to reject the claim.6. **Comparison Question:** Determine whether the proportion of adults from Country A is the same, different, greater than, or less than that from Country B.**Graph Explanation:**The accompanying bar chart displays percentages of adults in various countries who favor building new nuclear power plants:- **Country A**: 49%- **Country B**: 50%- **Country C**: 48%- **Country D**: 33%The data is represented with different colored bars for each country, clearly showing the comparative proportions.

Given Information: Country A: Sample size (n1) = 1003 Sample proportion (p^1) = 49% = 0.49 Country…

8. Use the figure to the right, which shows the percentages of adults from several countries who favor building new nuclear power plants in their country. The survey included random 100 samples of 1003 adults from Country A, 1057 adults from Country B, 1128 adults from Country C, and 1025 adults from Country D. At a = 0.06, can you reject the claim that the proportion of adults in Country A who favor building new nuclear power plants in their country is the same as the proportion of adults from Country B who favor building new nuclear power plants in their country? Assume the random samples are independent. 80- 60- 40- 20- ICountry A 49% ICountry B 50% OCountry C 48% O Country D 33% Identify the claim and state Ho and Ha. The claim is "the proportion of adults in Country A who favor building new nuclear power plants in their country is (1). the proportion of adults from Country B who favor building new nuclear power plants in their cou Let n. renrenont

8. Use the figure to the right, which shows the percentages of adults from several countries who favor building new nuclear power plants in their country. The survey included random 100 samples of 1003 adults from Country A, 1057 adults from Country B, 1128 adults from Country C, and 1025 adults from Country D. At a = 0.06, can you reject the claim that the proportion of adults in Country A who favor building new nuclear power plants in their country is the same as the proportion of adults from Country B who favor building new nuclear power plants in their country? Assume the random samples are independent. 80- 60- 40- 20- ICountry A 49% ICountry B 50% OCountry C 48% O Country D 33% Identify the claim and state Ho and Ha. The claim is "the proportion of adults in Country A who favor building new nuclear power plants in their country is (1). the proportion of adults from Country B who favor building new nuclear power plants in their cou Let n. renrenont

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Compound Probability

Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent.

Tree diagram

Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described.

Conditional Probability

By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.

Question

100%

The document presents a statistical problem regarding survey data on the percentage of adults from various countries who favor building new nuclear power plants. It involves a hypothesis test comparing the proportions of adults from Country A and Country B.

**Task Details:**

1. **State the Claim and Hypotheses:**

The claim: "The proportion of adults in Country A who favor building new nuclear power plants in their country is the same as the proportion of adults from Country B who favor building new nuclear power plants in their country."

Let $ p_1 $ represent the proportion of adults from Country A and $ p_2 $ represent the proportion from Country B.

- Null Hypothesis ($ H_0 $): $ p_1 = p_2 $
- Alternative Hypothesis ($ H_a $): $ p_1 \neq p_2 $

2. **Standardized Test Statistic:**

Calculate the standardized test statistic $ z $ and round to two decimal places as needed.

3. **P-Value Calculation:**

Determine the P-value and round it to three decimal places as necessary.

4. **Decision Making:**

Decide whether to reject or fail to reject the null hypothesis based on the P-value and significance level ($ \alpha = 0.06 $).

5. **Conclusion on Original Claim:**

Choose the correct conclusion based on the significance level:

- A. No, at the 6% significance level, there is sufficient evidence to reject the claim.
- B. Yes, at the 6% significance level, there is insufficient evidence to reject the claim.
- C. Yes, at the 6% significance level, there is sufficient evidence to reject the claim.
- D. No, at the 6% significance level, there is insufficient evidence to reject the claim.

6. **Comparison Question:**

Determine whether the proportion of adults from Country A is the same, different, greater than, or less than that from Country B.

**Graph Explanation:**

The accompanying bar chart displays percentages of adults in various countries who favor building new nuclear power plants:

- **Country A**: 49%
- **Country B**: 50%
- **Country C**: 48%
- **Country D**: 33%

The data is represented with different colored bars for each country, clearly showing the comparative proportions.

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