The national distribution of fatal work injuries in the country is shown in the table to the right under "Cause National". You believe that the distribution of fatal work injuries is different in the western part of the country and randomly select 6231 fatal work injuries occurring in that region. At α = 0.025, can you conclude that the distribution of fatal work injuries in the west is different from the national distribution? Complete the parts below: Assaults Falls Harmful fumes Fires Western Frequency: 2887 1162 806 754 532 National %: 44% 19% 15% 13% Determine the critical value χ0^2 and the rejection region: χ0^2 = 12.833 (Round to three decimal places as needed) Determine the rejection region: χ^2 < χ0^2 χ^2 ≥ χ0^2 Calculate the test statistic: χ^2 = 60.36 (Round to three decimal places as needed) Enter your answer in the answer box and then click "Check Answer":
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First, we need to find the expected frequencies for each category in the Western region based on the national percentages. Expected frequencies: - Transportation: 0.44 * 6231 = 2741.64 - Equipment: 0.19 * 6231 = 1183.89 - Assaults: 0.15 * 6231 = 934.65 - Falls: Show more…
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Bicycle safety organization claims that fatal bicycle accidents are uniformly distributed throughout the week. The table on the right shows the day of the week for which 776 randomly selected fatal bicycle accidents occurred. At α = 0.10, can you reject the claim that the distribution is uniform? Complete the parts below: Day Sunday Monday Tuesday Wednesday Thursday Friday Saturday Frequency 112 106 112 120 104 113 H0: The distribution of fatal bicycle accidents throughout the week is uniform. Which hypothesis is the claim? The claim is that the distribution is not uniform. (b) Determine the critical value, X0, and the rejection region. X0 = (Round to three decimal places as needed.) Choose the correct rejection region below: X2 > X02 X2 < X02 Calculate the test statistic. χ2 = (Round to three decimal places as needed.) Decide whether to reject or fail to reject the null hypothesis. Then interpret the decision in the context of the original claim: At the 10% significance level, there is enough evidence to reject the claim that the distribution of fatal bicycle accidents throughout the week is uniform.
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When confronted with an in-flight medical emergency, pilots and crew can consult staff physicians at a global response center located in Arizona. If the global response center is called, there is a 4.7 percent chance that the flight will be diverted for an immediate landing. Suppose the response center is called 8,500 times in a given year. (a) What is the expected number of diversions? (Round your answer to 2 decimal places.) Expected number (b) What is the probability of at least 392 diversions? (Round your standard deviation value to 4 decimal places and your z-value to 2 decimal places. Use Appendix C-2 to find probabilities. Round your final answer to 4 decimal places.) Probability (c) What is the probability of fewer than 456 diversions? (Round your standard deviation value to 4 decimal places and your z-value to 2 decimal places. Use Appendix C-2 to find probabilities. Round your final answer to 4 decimal places.) Probability
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