2 When a person takes pennies to a coin counting machine, the average number of pennies inserted is 3,215 with stdev = 318 pennies. If a randomly selected customer is selected, find the probability that they will insert less than 2,563 pennies.
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- According to a certain government agency for a large country, the proportion of fatal traffic accidents in the country in which the driver had a positive blood alcohol concentration (BAC) is 0.33.Suppose a random sample of 109 traffic fatalities in a certain region results in 47that involved a positive BAC. Does the sample evidence suggest that the region has a higher proportion of traffic fatalities involving a positive BAC than the country at the α=0.05 level of significance?A labor statistician claims that 6% of the labor forces will be laid off likely to pandemic impact. In a random sample of 547 employees, 44 of them will be likely to be laid off. what is the p valueA researcher took a random sample of 200 new mothers in the United States (Group 1) and found that 16% of them experienced some form of postpartum depression. Another random sample of 200 new mothers in France (Group 2), where mothers receive 16 weeks of paid maternity leave, found that 11% experienced some form of postpartum depression. Can it be concluded that the percent of women in the United States experience more postpartum depression than the percent of women in France? Use α=0.05. Select the correct alternative hypothesis and decision
- In a National Institute on Alcohol Abuse and Alcoholism survey, 33% of American adults said that they had never consumed alcohol. Suppose that this result is true for the 2019 population of American adults. In a recent random sample of 2300 adult Americans, 35% said that they had never consumed alcohol. Test the hypothesis that the current percentage of American adults who have never consumed alcohol is different from 33%. What is the test statistic? In a National Institute on Alcohol Abuse and Alcoholism survey, 33% of American adults said that they had never consumed alcohol. Suppose that this result is true for the 2019 population of American adults. In a recent random sample of 2300 adult Americans, 35% said that they had never consumed alcohol. Test the hypothesis that the current percentage of American adults who have never consumed alcohol is different from 33%. What is the test statistic? 0.9793 0.35 2.04 0.0414 0.0207An organization published an article stating that in any one-year period, approximately 8.2 percent of adults in a country suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, six of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult population in the country. p' = Calculate ?x. Find the p-value.According to a certain government agency for a large country, the proportion of fatal traffic accidents in the country in which the driver had a positive blood alcohol concentration (BAC) is 0.36. Suppose a random sample of 110 traffic fatalities in a certain region results in 49 that involved a positive BAC. Does the sample evidence suggest that the region has a higher proportion of traffic fatalities involving a positive BAC than the country at the α=0.05 level of significance?
- A report in LTO stated that the average age of taxis in the Philippines is 9 years. An operationsmanager of a large taxi company selects a sample of 40 taxis and finds the average age of the taxis is8.2 years. The standard population is 2.3 years. At can it be concluded that the average ageof the taxis in his company is less than the national average?Anita's, a fast-food chain specializing in hot dogs and garlic fries, tracks the proportion of its customers who eat in the restaurant rather than ordering food "to go" so that it can make decisions about the potential construction of in-store play areas, the attendance of its mascot Sammy at franchise locations, and so on. According to Anita's, 52% of their customers purchase food to go. Assume that this proportion is true and a random sample of 40 consumers is collected. (a) Estimate the number of customers in the sample who order their food to go by giving the mean of the relevant distribution (that is, the expectation of the relevant random variable). Do not round your response. (b) Quantify the uncertainty of your estimate by giving the standard deviation of the distribution. Round your response to at least three decimal places.The National Institute of Mental Health published an article stating that in any one-year period, approximately 8.8% of American adults suffer from depression or a depressive illness. Suppose that in a survey of 2000 people in a certain city, 11.3% of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion of people in that city suffering from depression or a depressive illness is more than the 8.8% in the general adult American population. Test the relevant hypotheses using a 5% level of significance. Give answer to at least 4 decimal places. a. What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.) H0: H1: b. Based on the hypotheses, find the following: c. Test Statistic = d. p-value = e. Based on the above we choose to:_____________ f. The correct summary would be: ____________ that the true proportion of people in that city suffering from depression or a…
- The National Institute of Mental Health published an article stating that in any one-year period, approximately 8.8% of American adults suffer from depression or a depressive illness. Suppose that in a survey of 2000 people in a certain city, 11.3% of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion of people in that city suffering from depression or a depressive illness is more than the 8.8% in the general adult American population. Test the relevant hypotheses using a 5% level of significance. Give answer to at least 4 decimal places. a. What are the correct hypotheses? H0: H1: b.) Based on the hypotheses, find the following: c.) Test Statistic = d.) p-value = e.) Based on the above we choose to________________ f.) The correct summary would be:____________ that the true proportion of people in that city suffering from depression or a depressive illness is more than the percent in the general…The chief of security for the Mall of the Dakotas directed a study of theft. He selected a sample of 140 boxes that had been tampered with and ascertained that, for 75 of the boxes, the missing pants, shoes, and so on were attributed to shoplifting. For 45 boxes, employees had stolen the goods, and for the remaining 20 boxes he blamed poor inventory control. In his report to the mall management, can he say that shoplifting is twice as likely to be the cause of the loss as compared with either employee theft or poor inventory control and that employee theft and poor inventory control are equally likely? Use the 0.02 significance level. H0: The proportions are as stated. H1: The proportions are not as stated. a. State the decision rule using 0.02 significance level. (Round your answer to 3 decimal places.) b. Compute the value of chi-square. (Round your answer to 3 decimal places.) c. What is your decision regarding H0?A large nationwide survey showed that 65% of high school students like Coca-Cola better than Pepsi. Dr.Johnson conducted a small survey of randomly selected high school students in Michigan and found that 180 ofthe 300 surveyed students liked Coca-Cola better than Pepsi. Test if the proportion of students that preferCoca-Cola over Pepsi is significantly different than the percentage indicated by the nationwide survey with asignificance level of 5%.