Can someone answer this and explain please? I’m very confused. ### Hypothesis Testing in Statistics#### Problem StatementSuppose a poll is taken that shows that 510 out of 1000 randomly selected, independent people believe the rich should pay more taxes than they do. Test the hypothesis that a majority (more than 50%) believe the rich should pay more taxes than they do. Use a significance level of 0.05.#### Step 1: State the Null and Alternative HypothesesSelect the appropriate null and alternative hypotheses:- $H_0$: $p \leq 0.50$- $H_a$: $p > 0.50$This represents the hypothesis that the percentage of people who believe the rich should pay more in taxes is more than 50%.#### Step 2: Calculate the Test StatisticFind the value of the test statistic $z$.\[ z = \frac{\hat{p} - p_0}{\sqrt{\frac{p_0(1 - p_0)}{n}}} \]Where:- $\hat{p}$ is the sample proportion- $p_0$ is the hypothesized population proportion- $n$ is the sample sizeSubstitute the given values into the formula and round to two decimal places.#### Step 3: Find the p-valueLocate the corresponding p-value for the test statistic $z$. This will involve looking up the value on a standard normal distribution table or using statistical software.\[ \text{p-value} = P(Z > z) \]Round the p-value to three decimal places as needed.#### Step 4: Make a DecisionCompare the p-value to the significance level (0.05):- If the p-value is less than 0.05, reject the null hypothesis.- If the p-value is greater than or equal to 0.05, do not reject the null hypothesis.#### Step 5: Interpret the ResultsBased on whether or not you reject the null hypothesis, interpret your results:1. **Reject $H_0$**: The percentage of all people who believe the rich should pay more taxes is significantly more than 50%.2. **Do not reject $H_0$**: The percentage of all people who believe the rich should pay more taxes is not significantly more than 50%.#### Graphical RepresentationIf there was a graph or diagram, describe it

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Description: Can someone answer this and explain please? I’m very confused. ### Hypothesis Testing in Statistics#### Problem StatementSuppose a poll is taken that shows that 510 out of 1000 randomly selected, independent people believe the rich should pay more ta

We have given that Sample size n=1000 ,favorable cases x =510 and alpha=0.05 Sample proportion…

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Suppose a poll is taken that shows that 510 out of 1000 randomly selected, independent people believe the rich should pay more taxes than they do. Test the hypothesis that a majority (more than 50%) believe the rich should pay more taxes than they do. Use a significance level of 0.05. State the null and alternative hypotheses. O A. Ho: p<0.50 Hai p>0.50 O B. Ho: p=0.50 H,:p#0.50 OC. Ho: p=0.51 H: p>0.51 OD. Ho: p= 0.50 Hg: p>0.50 Find the value of the test statistic z. z= (Round to two decimal places as needed.) Find the value of the corresponding p-value for this test statistic z p-value = (Round to three decimal places as needed.) Do you reject or not reject the null hypothesis? O Do not reject Hg- O Reject Ho- What is the correct interpretation of these results? O A. The percentage of all people who believe the rich should pay more taxes is significantly more than 50%. O B. The percentage of all people who believe the rich should pay more taxes is not significantly more than 50%.

Suppose a poll is taken that shows that 510 out of 1000 randomly selected, independent people believe the rich should pay more taxes than they do. Test the hypothesis that a majority (more than 50%) believe the rich should pay more taxes than they do. Use a significance level of 0.05. State the null and alternative hypotheses. O A. Ho: p<0.50 Hai p>0.50 O B. Ho: p=0.50 H,:p#0.50 OC. Ho: p=0.51 H: p>0.51 OD. Ho: p= 0.50 Hg: p>0.50 Find the value of the test statistic z. z= (Round to two decimal places as needed.) Find the value of the corresponding p-value for this test statistic z p-value = (Round to three decimal places as needed.) Do you reject or not reject the null hypothesis? O Do not reject Hg- O Reject Ho- What is the correct interpretation of these results? O A. The percentage of all people who believe the rich should pay more taxes is significantly more than 50%. O B. The percentage of all people who believe the rich should pay more taxes is not significantly more than 50%.

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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Can someone answer this and explain please? I’m very confused.

### Hypothesis Testing in Statistics

#### Problem Statement
Suppose a poll is taken that shows that 510 out of 1000 randomly selected, independent people believe the rich should pay more taxes than they do. Test the hypothesis that a majority (more than 50%) believe the rich should pay more taxes than they do. Use a significance level of 0.05.

#### Step 1: State the Null and Alternative Hypotheses
Select the appropriate null and alternative hypotheses:
- $H_0$: $p \leq 0.50$
- $H_a$: $p > 0.50$

This represents the hypothesis that the percentage of people who believe the rich should pay more in taxes is more than 50%.

#### Step 2: Calculate the Test Statistic
Find the value of the test statistic $z$.

\[ z = \frac{\hat{p} - p_0}{\sqrt{\frac{p_0(1 - p_0)}{n}}} \]

Where:
- $\hat{p}$ is the sample proportion
- $p_0$ is the hypothesized population proportion
- $n$ is the sample size

Substitute the given values into the formula and round to two decimal places.

#### Step 3: Find the p-value
Locate the corresponding p-value for the test statistic $z$. This will involve looking up the value on a standard normal distribution table or using statistical software.

\[ \text{p-value} = P(Z > z) \]

Round the p-value to three decimal places as needed.

#### Step 4: Make a Decision
Compare the p-value to the significance level (0.05):
- If the p-value is less than 0.05, reject the null hypothesis.
- If the p-value is greater than or equal to 0.05, do not reject the null hypothesis.

#### Step 5: Interpret the Results
Based on whether or not you reject the null hypothesis, interpret your results:
1. **Reject $H_0$**: The percentage of all people who believe the rich should pay more taxes is significantly more than 50%.
2. **Do not reject $H_0$**: The percentage of all people who believe the rich should pay more taxes is not significantly more than 50%.

#### Graphical Representation
If there was a graph or diagram, describe it

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