MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- 2. Hypothesis Test of Proportions On April 15th, 1912, the R.M.S. Titanic sank into the North Atlantic Ocean, resulting in the loss of more than 1,500 passengers and crew. Below is a table which summarizes the total number of passengers and the number of survivors for the crew, first-, second-, and third-class. Find the proportion of survivors by type of service (crew, first, second, third). Test the hypothesis at the 99% confidence level that the proportion of first-class survivors is the same as third class (.25). What do you calculate for the test-statistic? What is the critical statistic? What is the conclusion of your hypothesis test?arrow_forwardIf the consequences of making a Type I error are severe, would you choose the level of significance, a, to equal 0.01, 0.05, or 0.10? Choose the correct answer below. A. 0.05 B. 0.10 C. 0.01arrow_forwardBased on your explanation, I selected the options, however they seem to be wrongarrow_forward
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- Use the sample data below to test the hypotheses Ho: P₁ = P₂ = P3 Ha: not all population proportions are equal where p; is the population proportion of Yes responses for population i. Response Yes No Populations 145 2 3 155 96 95 155 104 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value Using a 0.05 level of significance, state your conclusion. O Do not reject Ho. We cannot conclude that not all population proportions are equal. O Do not reject Ho. We conclude that not all population proportions are equal. O Reject Ho. We conclude that not all population proportions are equal. Reject Ho. We cannot conclude that not all population proportions are equal.arrow_forwardPlease Answer d,e,f Please provide typed answer. ONLY TYPED ANSWERSarrow_forwardUse the sample data below to test the hypotheses Ho: P₁ = P₂ = P3 H₂: not all population proportions are equal where P₁ is the population proportion of Yes responses for population i. Response Yes No Populations 1 23 145 140 111 95 140 119 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = Using a 0.05 level of significance, state your conclusion. O Do not reject Ho. We cannot conclude that not all population proportions are equal. O Do not reject Ho. We conclude that not all population proportions are equal. O Reject Ho. We cannot conclude that not all population proportions are equal. O Reject Ho. We conclude that not all population proportions are equal.arrow_forward
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