Are any of these results significant?
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Are any of these results significant?
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- What is a sample space?A lawyer received a complaint from a factory workers somewhere in Pampanga. The workers claimed that the were being forced to work for more than 8 hours. 8 hours is the average/normal work time per day in the Philippines as stated in the Labor Code and was initially stipulated by their employer when they were hired. They also reported that they were not receiving any compensation for their overtime work. The lawyer commissioned you to conduct a survey involving 10 randomly selected workers from the factory to inquire about their work time. The data you collected is displayed below. 8 hours 6 hours 5 hours 10 hours 14 hours 3 hours 9 hours 8 hours 11 hours 14 hours Use the P-Value Approach in testing the complaint of the workers. a. Estimate μ at 99% confidence interval. b. Did you find support for the rep’s claim? Why/not? c. Based on your findings, would you advice the lawyer to take the case? Why/not? d. If you drew the wrong conclusion and gave the labor lawyer the wrong…According to the Pew Research Center,on the propotion of the American population who use only a cellular telephone (landline) is 0.37. Jason conducts a survey of one hundred fifty 20 to 24 year olds who live on their own and finds that 73 do not have a landline to their home. Does this provide sufficient evidence to conclude that the proportion of 20 to 24 year olds who live on their own and don't have a landline is greater than 0.37? Use a=0.10 level of significance. A) Verify that nP0(1-P0)>10 and n< 0.05N (Assume the population sizes is N=40 million) B) State the appropiate null and alternative hypotheses. C) Indicate whether the hypothesis is left, right, or two- tailed.
- According to the Pew Research Center,on the propotion of the American population who use only a cellular telephone (landline) is 0.37. Jason conducts a survey of one hundred fifty 20 to 24 year olds who live on their own and finds that 73 do not have a landline to their home. Does this provide sufficient evidence to conclude that the proportion of 20 to 24 year olds who live on their own and don't have a landline is greater than 0.37? Use a=0.10 level of significance. D) Compute the test statistic z0. Round to the nearest hundredth. E) Draw a normal model with the area that represents the P-value shaded. F) Determine and interpret the P-value. What is the conclusion of the hypothesis test?A lawyer received a complaint from a representative for factory workers somewhere in Pampanga. The workers were being forced to work for more than 8 hours. 8 hours is the average/normal work time per day in the Philippines as stated in the Labor Code and was initially stipulated by their employer when they were hired. They also reported that they were not receiving any compensation for their overtime work. The lawyer commissioned you to conduct a survey involving 10 randomly selected workers from the factory to inquire about their work time. The data you collected is displayed below. 8 hours 6 hours 5 hours 10 hours 14 hours 3 hours 9 hours 8 hours 11 hours 14 hours Use the P-Value Approach in testing the complaint of the workers. 1) Estimate μ at 99% confidence interval. 2) If you drew the wrong conclusion and gave the labor lawyer the wrong advice, what type of error would you have committed?What is pythagrom theriom
- Federal law under Title 49 of the United States Code, Chapter 301, Motor Vehicle Safety Standard took effect on January 1, 1968 and required all vehicles (except buses) to be fitted with seat belts in all designated seating positions. While most states have laws requiring seat belt use today, some people still do not “buckle up.” Let’s assume that 90 % of drivers do “buckle up.” If drivers are randomly stopped to check seat belt usage, answer the following questions and show your work. If they stop 30 cars during the first hour, find the mean and standard deviation of the number of drivers not expected to be wearing seatbelts? If they stop 120 cars during this safety check, what is the probability they find at least 12 drivers not wearing seatbelts?The National Claims History (NCH) contains records for 999,645 Medicare patients who were discharged from acute care hospitals in October 2008. The Department of Health and Human Services performed a detailed audit of adverse medical events on a random sample of 780 drawn at random without replacement by assigning a random number to each patient on the list and then choosing random integers between 1 and 999,645. (a) What kind of sample is this (random, systematic, stratified, cluster)? (b) Is this population effectively infinite?The annual salary for a sample of U.S. governors in 2017 are as follows: $120395, $177467, $130273, $139339, $177412, $99636, $150000, $159300, $123427, $108167, $149730, $110834, $105000, $142265, $148886, $98600, $106078, $109470, $160135, $175000, $150000, $105000. 1. Find the mean and the standard deviation for the sample of annual salaries. 2. What is the associated t - score for a 99% confidence level? 3. What is the margin of error for a confidence level of 99%? 4. Find a 99% confidence interval for the mean salary of U.S. governors in 2017. Assume the data is normally distributed.
- Male Female26,801 21,39217,251 25,0384,624 4,47927,801 18,27024,555 10,6637,767 17,11020,536 10,77916,516 19,98425,601 14,05620,948 18,51912,153 17,70311,382 11,30813,138 17,00723,568 25,14217,874 5,616102 17,63120,292 24,5689,701 16,93722,178 15,53116,189 12,88517,664 30,97022,418 6,5195,993 18,3335,899 6,10424,563 10,00311,655 17,88411,600 12,35514,317 20,13011,649 21,96117,427 13,33914,658 35,76910,205 10,68520,063 9,15415,219 11,99611,846 30,61614,723 20,53517,184 16,2678,686 17,89917,833 20,14113,345 14,90014,770 19,1535,386 11,94719,548 16,55313,755 18,12515,959 30,23816,800 38,61218,987 24,75439,299 33,12517,677 25,55947,062 32,94627,391 20,46511,298 5,18615,815 25,02111,590 14,5586,579 15,67619,395 28,9542.) The Gallup organization surveyed 1100 adult Americans on May 6-9, 2002, and conducted an independentsurvey of 1100 adult Americans on May 8-11, 2014. In both surveys they asked, “Right now, do you think the stateof moral values in the country as a whole is getting better or getting worse?” On May 8-11, 2014, 816 of the 1100of the survey responded that the state of moral values is getting worse; on May 6-9, 2002, 737 of 1100 surveyedresponded that the state of moral values is getting worse. Is there a significant difference between the twoproportions at the ? = 0.1 level of significance?a.) Verify that the requirements for inference about two population proportions is satisfied.b.) What is the Null and Alternative Hypotheses? What test will you be using?c.) What is the level of significance and the ?-value?A mayor running for re-election claims that during his term, average municipal taxes have fallen by $100. A conscientious statistician wants to test this claim. He surveys 44 of his neighbors and finds that their taxes decreased (in dollars) as follows:50, 0, 67, 52, 207, 161, 159, 150, 95, 145, 84, 102, 69, 136, 109, 58, 125, 149, 145, 179, 126, 83, 132, 173, 109, 100, 162, 46, 49, 114, 89, 12, 239, 35, 114, 92, 27, 102, 90, 123, 122, 159, 138, 138The statistician assumes a population standard deviation of $48. Do you think the statistician should reject the mayor's claim? Why or why not?Step 1: State the hypothesis. Correct = CorrectStep 2: Determine the Features of the Distribution of Point Estimates Using the Central Limit Theorem.By the Central Limit Theorem, we know that the point estimates are Correct with distribution mean Incorrect100 and distribution standard deviation Incorrect7.2362722698663.Step 3: Assuming the Claim is True, Find the Probability of Obtaining the…