advertised claim for batteries for cell phones is set at 48 operating hours, with proper charging procedures. A study of 5000 batteries is carried out and 15 of them stop operating prior to 48 hours. Do these experimental results reject the claim that no more than 0.2 percent of the company' batteries will fail during the advertised time period, with proper charging procedures? Use a hypothesis- testing
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testing with alpha= 0.05
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- In previous years, 46% of candidates taking a Business Analytics exam have passed and have therefore been exempt from one prerequisite course. Resources made available such as tutoring and library prep books have improved the passing rates of candidates. In a sample of 300 recent applicants, 150 passed the exam. At the 0.01 level of significance, can we conclude that the proportion of candidates passing the exam has increased? Determine and interpret the p value for the test.A car manufacturer claims that less than 10% of its cars should need repairs in the first three years of their life, the warranty period. A random sample of 50 three-year-old cars found that 8 had required attention. Does this contradict the maker’s claim? Test the car manufacturer’s claim. c) Calculate the value of the test statistic to test the hypothesis.Based on past record of a pharmaceutical company, the cure rates for a standardmedication in treating a particular ailment is ten percent. After five years, thecompany has produced a new medication. The hired pharmacist in the companyclaims that the new medication produced by the company is effective in treating aparticular ailment compared to a standard medication. In a simple randomsample of two hundred subjects who took the new medication, it was found thatsixty subjects are uncured. Meanwhile, one hundred and eighty subjects arecompletely cured from three hundred subjects who took the standard medication.Given that the 97.8% confidence interval for the cure rates of the standardmedication is (0.5352, 0.6648). Can we conclude that the cure rates of thestandard medication do not change from the past record?
- Historically, the proportion of students entering a university who finished in 4 years or less was 65%. To test whether this proportion has decreased, 150 students were examined and 58% had finished in 4 years or less. At the 5% level of significance, does it appear the proportion has decreased from its historical level? To determine whether the proportion of students who finish in 4 year or less has statistically significantly decreased, what is the null and alternative hypothesis?In a study of the accuracy of fast food drive-through orders, one restaurant had 40 orders that were not accurate among 310 orders observed. Use a0.10significance level to test the claim that the rate of inaccurate orders is equal to 10%. Does the accuracy rate appear to be acceptable? Identify the null and alternative hypotheses for this test. test statistic pvalue conclusionHistorically, the proportion of people who trade in their old car to a car dealer when purchasing a new car is 48%. Over the previous six months, in a sample of 115 new car buyers, 46 have traded in their old car. To determine (at the 10% level of significance) whether the proportion of new car buyers that trade in their old car has this is  statistically significantly decreased, what can you conclude concerning the null hypothesis? A) reject the null hypothesis Or B) fail to reject the null hypothesis
- state whether the investigation in question is an observational study or a designed experiment. Justify your answer in each case. Do Left-Handers Die Earlier? According to a study published in the Journal of the American Public Health Association,lefthanded people do not die at an earlier age than right-handed people, contrary to the conclusion of a highly publicized report done 2 years earlier. The investigation involved a 6-year study of 3800 people in East Boston older than age 65.Researchers at Harvard University and the National Institute of Aging found that the “lefties” and “righties” died at exactly the same rate. “There was no difference, period,” said Dr. J. Guralnik, an epidemiologist at the institute and one of the coauthors of the report.Recently, a large academic medical center determined that 13 of 20 employees in a particular position were female, whereas 41% of the employees for this position in the general workforce were female. At the 0.01 level of significance, is there evidence that the proportion of females in this position at this medical center is different from what would be expected in the general workforce? Question content area bottom Part 1 What are the correct hypotheses to test to determine if the proportion is different? A. H0: π≤0.41; H1: π>0.41 B. H0: π≥0.41; H1: π<0.41 C. H0: π=0.41; H1: π≠0.41 D. H0: π≠0.41; H1: π=0.41 Part 2 Calculate the test statistic. ZSTAT=enter your response here (Type an integer or a decimal. Round to two decimal places as needed.) Part 3 What is the p-value? The p-value is enter your response here. (Type an integer or a decimal. Round to three decimal places as needed.) Part 4 State…What Proportion of College Students Are Satisfied with Their Overall Academic Expereince? Exercise 2.16 introduces a survey of 5204 first-year full-time college students in the US. The survey was administered at the end of the first year, and 4122 of the students in the sample said that they were satisfied with their overall academic experience during the first year. Does the data from this sample provide evidence that more than 75% of US full-time students are satisfied with their overall academic experience at the end of their first year? Give all details of the hypothesis test. Test-statistic = (round to the nearest whole)p-value = (round to three decimal places)Conclusion:. Reject H0; We cannot conclude that more than 75% are satisfied. Do not reject H0; More than 75% of US students are satisfied with their overall academic experience. Do not reject H0; We cannot conclude that more than 75% are satisfied. Reject H0; More than 75% of US…
- Recently, a large academic medical center determined that 9 of 18 employees in a particular position were female, whereas 45% of the employees for this position in the general workforce were female. At the 0.05 level of significance, is there evidence that the proportion of females in this position at this medical center is different from what would be expected in the general workforce? Question content area bottom Part 1 What are the correct hypotheses to test to determine if the proportion is different? A. H0: π≠0.45; H1: π=0.45 B. H0: π≥0.45; H1: π<0.45 C. H0: π≤0.45; H1: π>0.45 D. H0: π=0.45; H1: π≠In August 2010, Massachusetts enacted a 150-day right-to-cure period that mandates that lenders give homeowners who fall behind on their mortgage an extra five months to become current before beginning foreclosure proceedings. Policymakers claimed that the policy would result in a higher proportion of delinquent borrowers becoming current on their mortgages. To test this claim, researchers took a sample of 244 homeowners in danger of foreclosure in the time period surrounding the enactment of this law. Of the 100 who fell behind just before the law was enacted, 30 were able to avoid foreclosure, and of 144 who fell behind just after the law was enacted, 48 were able to avoid foreclosure. Let p1 and p2 represent the proportion of delinquent borrowers who avoid foreclosure just before and just after the right-to-cure law is enacted, respectively. Assuming α = 0.10, does the evidence support the policymakers’ claim?In August 2010, Massachusetts enacted a 150-day right-to-cure period that mandates that lenders give homeowners who fall behind on their mortgage an extra five months to become current before beginning foreclosure proceedings. Policymakers claimed that the policy would result in a higher proportion of delinquent borrowers becoming current on their mortgages. To test this claim, researchers took a sample of 244 homeowners in danger of foreclosure in the time period surrounding the enactment of this law. Of the 100 who fell behind just before the law was enacted, 30 were able to avoid foreclosure, and of 144 who fell behind just after the law was enacted, 48 were able to avoid foreclosure. Let p1 and p2 represent the proportion of delinquent borrowers who avoid foreclosure just before and just after the right-to-cure law is enacted, respectively. Which of the following is the correct competing hypotheses that will test the policymakers’ claim? Multiple Choice H0: p1 – p2 ≥ 0,…