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MATLAB: An Introduction with Applications
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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Title: Statistical Analysis of Voter Participation --- ### Background In the last election, only 19% of registered voters participated. This study aims to evaluate whether voter participation will increase for the upcoming election. From a sample of 312 randomly selected registered voters, 62 indicated they would vote. We will analyze the data at a significance level of α = 0.05. ### Steps for Analysis **a. Selection of Statistical Test** Choose the appropriate statistical test for assessing proportions. **b. Formulating Hypotheses** Define the null and alternative hypotheses: - **Null Hypothesis (H0):** The proportion of voters in the upcoming election is equal to 19%. - **Alternative Hypothesis (H1):** The proportion of voters in the upcoming election is greater than 19%. **c. Calculating the Test Statistic** Compute the test statistic using the sample data (62 out of 312 voters). **d. Determining the p-value** Calculate the p-value based on the test statistic to assess the probability of observing the sample data if the null hypothesis is true. **e. Comparing p-value and Significance Level** Compare the p-value to α = 0.05 to determine statistical significance. **f. Decision Making** Decide whether to reject or fail to reject the null hypothesis based on the p-value comparison. **g. Conclusion** Make a final conclusion: - If the data suggests that the population proportion is significantly higher than 19%, it indicates an increased likelihood of voter participation. - If not, there's no statistically significant change expected in voter turnout. ### Available Resources - **Helpful Videos:** Calculations, Setup, Interpretations - **Question Assistance:** Message instructor for guidance --- This analysis aids in understanding voter behavior trends and predicting future electoral participation.
Transcribed Image Text:Title: Statistical Analysis of Voter Participation --- ### Background In the last election, only 19% of registered voters participated. This study aims to evaluate whether voter participation will increase for the upcoming election. From a sample of 312 randomly selected registered voters, 62 indicated they would vote. We will analyze the data at a significance level of α = 0.05. ### Steps for Analysis **a. Selection of Statistical Test** Choose the appropriate statistical test for assessing proportions. **b. Formulating Hypotheses** Define the null and alternative hypotheses: - **Null Hypothesis (H0):** The proportion of voters in the upcoming election is equal to 19%. - **Alternative Hypothesis (H1):** The proportion of voters in the upcoming election is greater than 19%. **c. Calculating the Test Statistic** Compute the test statistic using the sample data (62 out of 312 voters). **d. Determining the p-value** Calculate the p-value based on the test statistic to assess the probability of observing the sample data if the null hypothesis is true. **e. Comparing p-value and Significance Level** Compare the p-value to α = 0.05 to determine statistical significance. **f. Decision Making** Decide whether to reject or fail to reject the null hypothesis based on the p-value comparison. **g. Conclusion** Make a final conclusion: - If the data suggests that the population proportion is significantly higher than 19%, it indicates an increased likelihood of voter participation. - If not, there's no statistically significant change expected in voter turnout. ### Available Resources - **Helpful Videos:** Calculations, Setup, Interpretations - **Question Assistance:** Message instructor for guidance --- This analysis aids in understanding voter behavior trends and predicting future electoral participation.
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