**Educational Content on Hypothesis Testing for Proportions**Vegetarians are much less common in the United States than in the rest of the world. Suppose in a 2018 survey of 12,000 people in the United States, VeganBits found 60 who are vegetarians.**(a) Develop a Point Estimate:**To find a point estimate of the proportion of people in the United States who are vegetarians, divide the number of vegetarians found by the total number of people surveyed.\[ \text{Point Estimate} = \frac{60}{12,000} \]**(b) Hypothesis Test Setup:**Set up a hypothesis test so that the rejection of \( H_0 \) will allow you to conclude that the proportion of people in the United States who are vegetarians exceeds 0.004. (Enter != for ≠ as needed.)- Null Hypothesis (\( H_0 \)): \[ P = 0.004 \]- Alternative Hypothesis (\( H_a \)): \[ P > 0.004 \]**(c) Conduct Your Hypothesis Test:**Use a significance level (\( \alpha \)) of 0.05.1. **Find the Test Statistic:** This is calculated based on the sample proportion and null hypothesis proportion. Round your answer to two decimal places.2. **Find the p-value:** This represents the probability of obtaining the observed results under the null hypothesis. Round your answer to four decimal places.\[ \text{p-value} = \]**State Your Conclusion:**1. Reject \( H_0 \). We can conclude that the proportion of people in the United States who are vegetarians exceeds 0.004.2. Do not reject \( H_0 \). We can conclude that the proportion of people in the United States who are vegetarians exceeds 0.004.3. Reject \( H_0 \). We cannot conclude that the proportion of people in the United States who are vegetarians exceeds 0.004.4. Do not reject \( H_0 \). We cannot conclude that the proportion of people in the United States who are vegetarians exceeds 0.004.This process allows us to statistically infer whether the proportion of vegetarians in the U.S. is greater than a specified value, based on sample data.

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Description: **Educational Content on Hypothesis Testing for Proportions**Vegetarians are much less common in the United States than in the rest of the world. Suppose in a 2018 survey of 12,000 people in the United States, VeganBits found 60 who are vegetarians.

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Vegetarians are much less common in the United States than in the rest of the world. Suppose in a 2018 survey of 12,000 people in the United States, VeganBits found 60 who are vegetarians. (a) Develop a point estimate of the proportion of people in the United States who are vegetarians. (b) Set up a hypothesis test so that the rejection of H. will allow you to conclude that the proportion of people in the United States who are vegetarians exceeds 0.004. (Enter != for # as needed.) Ho: H3: (c) Conduct your hypothesis test using a = 0.05. Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value - State your conclusion. O Reject H. We can conclude that the proportion of people in the United States who are vegetarians exceeds 0.004. O Do not reject Ho. We can conclude that the proportion of people in the United States who are vegetarians exceeds 0.004. O Reject Ho. We cannot conclude that the proportion of people in the United States who are vegetarians exceeds 0.004. O Do not reject Ho: We cannot conclude that the proportion of people in the United States who are vegetarians exceeds 0.004.

Vegetarians are much less common in the United States than in the rest of the world. Suppose in a 2018 survey of 12,000 people in the United States, VeganBits found 60 who are vegetarians. (a) Develop a point estimate of the proportion of people in the United States who are vegetarians. (b) Set up a hypothesis test so that the rejection of H. will allow you to conclude that the proportion of people in the United States who are vegetarians exceeds 0.004. (Enter != for # as needed.) Ho: H3: (c) Conduct your hypothesis test using a = 0.05. Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value - State your conclusion. O Reject H. We can conclude that the proportion of people in the United States who are vegetarians exceeds 0.004. O Do not reject Ho. We can conclude that the proportion of people in the United States who are vegetarians exceeds 0.004. O Reject Ho. We cannot conclude that the proportion of people in the United States who are vegetarians exceeds 0.004. O Do not reject Ho: We cannot conclude that the proportion of people in the United States who are vegetarians exceeds 0.004.

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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