I am setting a new standard assessment and want the pass rate in the population to be 90%. As a trial, I select 150 participants and ask them to complete the standard assessment. I achieve 129 passes and 21 fails. • Null Hypothesis: Population Pass Rate equals 0.9 • Alternative Hypothesis: Population Pass Rate not equal to 0.9 Are the assumptions satisfied for me to proceed with the test? O Yes, I have at least 10 passes and 10 fails O Yes, but I must use t instead of Z as the sample size is not very large Yes, the sample size of 150 exceeds 30 so the central limit theorem will hold Ne
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- Previous enrolment records at a large university indicate that of the total number of persons who apply for admission, 60% are admitted unconditionally, 5% are conditionally admitted, and the remainder are refused admission. Of 500 applicants to date for next year, 329 were admitted unconditionally, 43 were conditionally admitted, and the remainder were not admitted. Do the data indicate a departure from previous admission rates? Test using α = .05.a) State the hypotheses.b) Find the critical value at the 5% significance level (rounded off to four decimals).c) Calculate the value of the Chi-square test (rounded off to two decimals).d) State the conclusion at the 5% significance level.Sixty teachers were interviewed regarding their opinion on the issue of increasing the number of years of basic education from 10 to 12years. Do these teachers differ significantly in their opinion on this issue? Test the claim at α=0.05. Agree – 32, Disagree – 10, Undecided – 18 What is the tabulated value and the statistical value?A new drug, Drug X, is being tested in a clinical trial to treat patients with high blood pressure. To determine the effectiveness of Drug X, 100 patients are randomly selected and their blood pressure, in millimeters of Hg, are recorded. They are then prescribed with the drug for 10 weeks. After 10 weeks, their blood pressure is recorded again. Which of the following would be the BEST test to use on this type of scenario, assuming the assumptions are met? Two independent sample proportion z-test Chi-square test of homogeneity Analysis of Variance (ANOVA) Paired t-test Chi-square test of independence Two independent sample mean t-test
- A limousine company is concerned with increasing costs of maintaining their fleet of 150 cars. After testing, the company found that the emissions systems of 9out of the 20 cars they tested failed to meet pollution control guidelines. They had forecasted costs assuming that a total of 54cars would need updating to meet the latest guidelines. Is this strong evidence that more than 36% of the fleet might be out of compliance? Test an appropriate hypothesis and state your conclusion. Be sure the appropriate assumptions and conditions are satisfied before you proceed. What are the null and alternative hypotheses? What is the value of the test statistic? What is the P-value of the test statistic? What is your conclusion?Last part is: What is the appropriate conclusion for this test? (Do not reject OR reject) H₀ and conclude that there (is or is not) sufficient evidence that mice with an average life span of 32 months will live to be (less or greater) than 42 months old when 40% of the calories in their diet are replaced by vitamins and protein.Claim: The mean pulse rate (in beats per minute) of adult males is less than 68.7 bpm. In this scenario, the claim falls under the _____ hypothesis. null or alternative
- 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…The level of a pollutant in the river next to a chemical factory is monitored at regular intervals. Over the course of years, the level of the pollutant was determined by chemical analysis. In recent years, the company has made some changes in the factory where increases in the pollutant level can be observed. The environmental protection organization (EPA) wants convincing evidence that the level of the pollutant has not increased. By creating the relevant null and alternative hypotheses, I. type and II. describe type errors.Researchers have noted a decline in cognitive functioning as people age (Bartus, 1990). However, the results from other research suggest that the antioxidant in foods such as blueberries can reduce and even reverse those age-related declines, at least in laboratory rats (Joseph,et al.,1999). Based on these results, one might theorize that the same antioxidants might benefit elderly humans. Suppose a researcher is interested in testing this theory. The researcher obtains a sample of n = 16 adults who are older than 65, and gives and gives each participant a daily dose of blueberry supplement that is very high in antioxidants. After taking the supplement for 6 months, the participants are given a standardized cognitive skills test and produce a mean score of M = 50.2. For the general population of elderly adults scores on the test average μ =45 and form a normal distribution with a σ = 9. Can the researchers conclude that the supplement significantly increases cognitive skills? Use a…
- Researchers have noted a decline in cognitive functioning as people age (Bartus, 1990). However, the results from other research suggest that the antioxidant in foods such as blueberries can reduce and even reverse those age-related declines, at least in laboratory rats (Joseph,et al.,1999). Based on these results, one might theorize that the same antioxidants might benefit elderly humans. Suppose a researcher is interested in testing this theory. The researcher obtains a sample of n = 16 adults who are older than 65, and gives and gives each participant a daily dose of blueberry supplement that is very high in antioxidants. After taking the supplement for 6 months, the participants are given a standardized cognitive skills test and produce a mean score of M = 50.2. For the general population of elderly adults scores on the test average μ =45 and form a normal distribution with a σ = 9. Can the researchers conclude that the supplement significantly increases cognitive skills? Use a…According to the Harvard Student Success Committee report in the previous year, we believe that 17% of students struggle in their classes because they don't spend more than 8 hours studying outside of a 4-unit class. For this year, you would like to obtain a new sample to estimate the proportiton of all Harvard students who struggle in their classes because they don't study enough outside of the classrooms. You would like to be 99% confident that your estimate is within 1.5% of the true population proportion. How large of a sample size is required? Do not round mid-calc n =Many states have attempted to reduce the blood-alcohol level at which a driver is declared to be legally drunk. There has been resistance to this change in the law by certain business groups who have argued that the current limit is adequate. A study was conducted to demonstrate the effect on reaction time of a blood-alcohol level of .1%, the current limit in many states. A random sample of 25 persons of legal driving age had their reaction time recorded in a standard laboratory test procedure before and after drinking a sufficient amount of alcohol to raise their blood alcohol to a .1% level. The difference (After − Before) in their reaction times in seconds was provided in data 2. Graph the data and assess whether the population has a normal distribution. Place a 99% confidence interval on both the mean and median difference in reaction times of drivers who have a blood-alcohol level of .1%.