MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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A report classified fatal bicycle accidents according to the month in which the accident occurred, resulting in the accompanying table. P₁ P2 P3 (a) Use the given data to test the null hypothesis Ho: P₁ Calculate the test statistic. (Round your answer to two decimal places.) x² = 91.28 P4 P5 P6 = = What is the P-value for the test? (Use a statistical computer package to calculate the P-value. Round your answer to four decimal places.) P-value = 0 = Month January February March April May June July August September October November December What can you conclude? Reject Ho. There is not enough evidence to conclude that fatal bicycle accidents are not equally likely to occur in each of the months. Do not reject Ho. There is not enough evidence to conclude that fatal bicycle accidents are not equally likely to occur in each of the months. Reject Ho. There is convincing evidence to conclude that fatal bicycle accidents are not equally likely to occur in each of the months. Do not reject Ho. There is convincing evidence to conclude that fatal bicycle accidents are not equally likely to occur in each of the months. = (b) The null hypothesis in part (a) specifies that fatal accidents were equally likely to occur in any of the 12 months. But not all months have the same number of days. What null and alternative hypotheses would you test to determine if some months are riskier than others if you wanted to take differing month lengths into account? (Assume this data was collected during a leap year, with 366 days.) = Identify the null hypothesis by specifying the proportions of accidents we expect to occur in each month if the length of the month is taken into account. (Enter your probabilities as fractions.) 31/366 29/366 31/366 P7 P8 P9 P10 = P11 P12 = Number of Accidents 36 30 45 59 78 72 100 = USE SALT 87 66 66 40 38 5/61 31/366 5/61 31/366 31/3 5/61 1 12 31/366 5/61 31/366 1 12 P2 , P12 1 12 where p₁ is the proportion of fatal bicycle accidents that occur in January, P₂ is the proportion for February, and so on. Use a significance level of 0.01. Identify the correct alternative hypothesis. Ho is not true. None of the proportions is correctly specified under Ho.
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Transcribed Image Text:A report classified fatal bicycle accidents according to the month in which the accident occurred, resulting in the accompanying table. P₁ P2 P3 (a) Use the given data to test the null hypothesis Ho: P₁ Calculate the test statistic. (Round your answer to two decimal places.) x² = 91.28 P4 P5 P6 = = What is the P-value for the test? (Use a statistical computer package to calculate the P-value. Round your answer to four decimal places.) P-value = 0 = Month January February March April May June July August September October November December What can you conclude? Reject Ho. There is not enough evidence to conclude that fatal bicycle accidents are not equally likely to occur in each of the months. Do not reject Ho. There is not enough evidence to conclude that fatal bicycle accidents are not equally likely to occur in each of the months. Reject Ho. There is convincing evidence to conclude that fatal bicycle accidents are not equally likely to occur in each of the months. Do not reject Ho. There is convincing evidence to conclude that fatal bicycle accidents are not equally likely to occur in each of the months. = (b) The null hypothesis in part (a) specifies that fatal accidents were equally likely to occur in any of the 12 months. But not all months have the same number of days. What null and alternative hypotheses would you test to determine if some months are riskier than others if you wanted to take differing month lengths into account? (Assume this data was collected during a leap year, with 366 days.) = Identify the null hypothesis by specifying the proportions of accidents we expect to occur in each month if the length of the month is taken into account. (Enter your probabilities as fractions.) 31/366 29/366 31/366 P7 P8 P9 P10 = P11 P12 = Number of Accidents 36 30 45 59 78 72 100 = USE SALT 87 66 66 40 38 5/61 31/366 5/61 31/366 31/3 5/61 1 12 31/366 5/61 31/366 1 12 P2 , P12 1 12 where p₁ is the proportion of fatal bicycle accidents that occur in January, P₂ is the proportion for February, and so on. Use a significance level of 0.01. Identify the correct alternative hypothesis. Ho is not true. None of the proportions is correctly specified under Ho.
(b) The null hypothesis in part (a) specifies that fatal accidents were equally likely to occur in any of the 12 months. But not all months have the same number of days. What null and alternative hypotheses would you test to determine if some months are riskier than others if you wanted to take differing month lengths into account? (Assume this data was collected during a leap year, with 366 days.) Identify the null hypothesis by specifying the proportions of accidents we expect to occur in each month if the length of the month is taken into account. (Enter your probabilities as fractions.) P1 31/366 29/366 31/366 P₂ P3 P4 P5 P6 P7 P8 = = = = = = = = = 5/61 P9 P10 31/366 P11 5/61 P12 31/366 = = 5/61 = 31/366 5/61 31/366 31/366 Identify the correct alternative hypothesis. O Ho is not true. None of the proportions is correctly specified under Ho. ● Ho is not true. At least one of the proportions is not correctly specified under Ho. O Ho is true. None of the proportions is not correctly specified under Ho. O Ho is true. At least one of the proportions is not correctly specified under Ho. (c) Test the hypotheses proposed in part (b) using a 0.05 significance level. Calculate the test statistic. (Round your answer to two decimal places.) x²: What is the P-value for the test? (Use a statistical computer package to calculate the P-value. Round your answer to four decimal places.) P-value = 0 What can you conclude? Do not reject Ho. There is convincing evidence to conclude that fatal bicycle accidents do not occur in the twelve months in proportion to the lengths of the months. Do not reject Ho. There is not enough evidence to conclude that fatal bicycle accidents do not occur in the twelve months in proportion to the lengths of the months. Reject Ho. There is not enough evidence to conclude that fatal bicycle accidents do not occur in the twelve months in proportion to the lengths of the months. O Reject Ho. There is convincing evidence to conclude that fatal bicycle accidents do not occur in the twelve months in proportion to the lengths of the months.
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Transcribed Image Text:(b) The null hypothesis in part (a) specifies that fatal accidents were equally likely to occur in any of the 12 months. But not all months have the same number of days. What null and alternative hypotheses would you test to determine if some months are riskier than others if you wanted to take differing month lengths into account? (Assume this data was collected during a leap year, with 366 days.) Identify the null hypothesis by specifying the proportions of accidents we expect to occur in each month if the length of the month is taken into account. (Enter your probabilities as fractions.) P1 31/366 29/366 31/366 P₂ P3 P4 P5 P6 P7 P8 = = = = = = = = = 5/61 P9 P10 31/366 P11 5/61 P12 31/366 = = 5/61 = 31/366 5/61 31/366 31/366 Identify the correct alternative hypothesis. O Ho is not true. None of the proportions is correctly specified under Ho. ● Ho is not true. At least one of the proportions is not correctly specified under Ho. O Ho is true. None of the proportions is not correctly specified under Ho. O Ho is true. At least one of the proportions is not correctly specified under Ho. (c) Test the hypotheses proposed in part (b) using a 0.05 significance level. Calculate the test statistic. (Round your answer to two decimal places.) x²: What is the P-value for the test? (Use a statistical computer package to calculate the P-value. Round your answer to four decimal places.) P-value = 0 What can you conclude? Do not reject Ho. There is convincing evidence to conclude that fatal bicycle accidents do not occur in the twelve months in proportion to the lengths of the months. Do not reject Ho. There is not enough evidence to conclude that fatal bicycle accidents do not occur in the twelve months in proportion to the lengths of the months. Reject Ho. There is not enough evidence to conclude that fatal bicycle accidents do not occur in the twelve months in proportion to the lengths of the months. O Reject Ho. There is convincing evidence to conclude that fatal bicycle accidents do not occur in the twelve months in proportion to the lengths of the months.
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