Find the quantity (deviance) for testing the hypothesis H0 and the pvalue
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Find the quantity (deviance) for testing the hypothesis H0 and the pvalue used
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- A teacher gives a third grade class of n = 16 a reading skills test at the beginning of the school year. To evaluate the changes that occur during the year, students are tested again at the end of the year. Their test scores revealed an average improvement of MD = 4.7 points with SS = 2160. Are the test scores at the end of the year significantly higher than the test scores at the beginning of the year. Perform a hypothesis test using repeated-measures t-test. Use a one-tailed test with α = .01. T statistics= 1.57 critical t value=2.602 Construct a 99% confidence interval to estimate the average improvement for the population of third graders. Low and Upper boundaryjust the p valueYou need to test whether a coin is fair or biased in favour of either heads or tails. You decide to do an experiment in which you toss the coin 10 times to see what happens. 1a. Without doing any calculations, writer down a range of values for the number of heads to appear in the 10 tosses that will make you reject the null hypothesis that the coin is fair. b. Also without doing any calculations, write down a range of values for the number of heads to appear in the 10 tosses for which you would not reject the null hypothesis but stull might be suspicious that the coin is not fair. If this is the case, how might you be able to reduce your suspicions? c. Use the binomial distribution to work out the probability of the events listed in 1a happening if the coin is fair. d. Do you feel that this probability is small enough that you could reject the null hypothesis if one of the events listed occurred?
- A hypothesis test is to be performed. State the null and alternative hypotheses.Last month the mean waiting time at a bank was 8.4 minutes. The manager has installed a new computer system and claims that people will no longer have to wait as long. Null hypothesis: mean waiting time = 8.4 minutes Alternative hypothesis: mean waiting time ≤ 8.4 minutes Null hypothesis: mean waiting time > 8.4 minutes Alternative hypothesis: mean waiting time < 8.4 minutes Null hypothesis: mean waiting time = 8.4 minutes Alternative hypothesis: mean waiting time < 8.4 minutes Null hypothesis: mean waiting time < 8.4 minutes Alternative hypothesis: mean waiting time = 8.4 minutesYour manager thinks that the percentage of workers in the company who favor flextime is greater than 50%. In order to test if the true percentage is greater than 50%, you take a sample of 400 workers and learn that 215 favor flextime. Set up hypotheses and perform the appropriate test to gain a perspective on this issue. Interpret your results (p value implied).Bardi Trucking Co., located in Cleveland, Ohio, makes deliveries in the Great Lakesregion, the Southeast, and the Northeast. Jim Bardi, the president, is studying the relationshipbetween the distance a shipment must travel and the length of time, in days, ittakes the shipment to arrive at its destination. To investigate, Mr. Bardi selected a randomsample of 20 shipments made last month. Shipping distance is the independentvariable and shipping time is the dependent variable. The results are as follows:
- Abigail, who works for a region's department of health, is looking for evidence that the percentage of adults in the region who are current smokers has decreased from 15.8% in 2015, She gathers a random sample of adults in the region and asks each individual if he or she currently smokes. Abigail found that 40 of the 277 adults who were surveyed are current smokers. What are the null and alternative hypotheses for this hypothesis test? Select the correct answer below: O Ho: p0.158 Ha : p=0.158 0 Ho : p= 0.158 Ha: p> 0.158 Ho : p: 0.158 Ha p0.158 10 ĺHo:p=0.158 Ha: p0.158An FDA inspector knows that the average amount of fecal matter particulate on a restaurant's kitchen sink can't be more than 5 ppm. On each day of the last week (7 days) she found the average amount of fecal matter on the kitchen sink at your favorite local restaurant to be: 6, 18, 2, 6, 5, 7 and 1. The inspector believes this restaurant is out of compliance. Run a hypothesis test to see if there is enough evidence to conclude that the average amount of Fecal Matter present exceeds the legal amount.Microsoft would like to advertise that more than 30% of all its customers have more than two Microsoft products in their homes. To support this advertisement, Microsoft hires a statistician and she randomly selects a sample of 200 Microsoft customers and finds that 75 have more than two Microsoft products. Does this evidence support the advertisement? Use α = 0.05 to conduct a hypothesis test using the p-value method.
- 2. A researcher asks if people score higher or lower on a questionnaire measuring their emotional well-being when they are exposed to much sunshine compared to when they're exposed to little sunshine. A sample of 8 people is measured under both levels of sunshine and produces these well-being scores: Low: 14 13 17 15 18 17 12 16 High: 18 12 20 19 22 19 19 16 Using VassarStats, Perform a hypothesis test (make sure you follow all 4 steps and record all 4 steps of the hypothesis test. Don't forget effect size and percentage of variance accounted for. Show your work! Please make sure you upload your table you get from VassarStats and use that information to interpret your results. PreviousNextA teacher gives a third grade class of n = 16 a reading skills test at the beginning of the school year. To evaluate the changes that occur during the year, students are tested again at the end of the year. Their test scores revealed an average improvement of MD = 4.7 points with SS = 2160. Are the test scores at the end of the year significantly higher than the test scores at the beginning of the year. Perform a hypothesis test using repeated-measures t-test. Use a one-tailed test with α = .01. T statistics= 1.57 critical t value=2.602 Your decision is Group of answer choices A.Fail to reject the null hypothesis because the t-statistic is greater than the critical t-value B.Fail to reject the null hypothesis because the t-statistic is not greater than the critical t-value C.Reject the null hypothesis because the t-statistic is not greater than the critical t-value D.Reject the null hypothesis because the t-statistic is greater than the critical t-valuehow do you do a two-tailed test with a= .05. with the four steps for hypothesis testing and labeling each step 1,2,3,4? Also, what is it? (maybe a real-life example).