Given the SPSS output
(b) State the appropriate null and alternative hypotheses to test whether the medication has been effective in decreasing blood glucose level.
(c) Calculate the value of the test statistic and test the hypotheses assuming α = 0.05 using critical value- approach.
d) Find the p-value.
NOTE:
Please note that the hypotheses should be written using notation μD and indicate how you obtain the difference D = Before Medication - After Medication or D = After Medication - Before Medication which my alter your hypotheses.
Although SPSS provides p-value (i.e. Sig-(2-tailed) in SPSS output) assuming the test is two-tailed, students need to divide the SPSS p-value by 2 to get the right p-value for our right-tailed test. This problem also needs to be solved using critical value approach. You need to find the critical value from the t-table as critical value is usually not reported in SPSS output and carry out all 4-step process to do the hypothesis test.
Trending nowThis is a popular solution!
Step by stepSolved in 2 steps with 2 images
- I have tried multiple ways to solve this but I am just not getting it! Any assisstance I will greatly appreciate.arrow_forwardSuppose that one chemical plant in a large corporation is accused of exceeding the established limits of toxins being released into the atmosphere. A decision is made to test whether or not the mean level of toxins exceeds the tolerance level μ0=100μ0=100 ppm (parts per million). How would the null and alternative hypotheses be set up given that the researcher is working for the corporation? How would those hypotheses change if the researcher is working for the Environmental Protection Agency (EPA)?arrow_forwardA random sample of 28 records of automobile driver fatalities in kit carson coybry showed 15 involved an intoxicated driver. Do these data indicate that the population proportion of driver fatalities related to alochol is less than 77%. Use a=0.01 to determine the test statistic, the critical value, and p value.arrow_forward
- Determine the conclusion to the hypothesis test with a test statistic of -3.48 for two samples with known sigma given H0: uA-uB=0 vs Ha: uA-uB<0 and a 1% level of significance. Should you reject the null hypothesis or fail to reject the null hypothesis? Why?arrow_forwardIs there a difference in pulse rates between male and female adults? In an experiment on a large group of first year university students, each student measured their pulse rates (at rest) on three different days. The average of the three pulse rates was then recorded for each student. Appropriate Excel output (using α = 0.01) is provided. a) Quantify the evidence for a significant difference in the mean pulse rate for males and females. Support your answer with an appropriate hypothesis test that draws on the Excel output provided at α = 0.01. State your conclusions clearly. b) Would the conclusions for this test be applicable to the general populations of male and females? Comment on any bias in the results that may have been introduced by using these samples. c) Calculate a 99% confidence interval for the mean difference in pulse rates for males and females based on this dataarrow_forwardWe collected a sample of twenty-five observations. We assumed that the observations are from a population whose values follow a normal distribution with a mean of u and a standard deviation of five. We performed a test with these hypotheses Ho: μ = 0H₁ = 0 and H₁ : μ0H₁0. The test statistic is the sample mean . The 5% rejection region is 1.959964 > 1.959964. What is the power of this test when μ = -2μ = -2? Please state the statistical power up to the fourth decimal place.arrow_forward
- A telephone poll of 841 adult Americans was reported in an issue of Time Magazine. One of the questions asked was, "What is the main problem facing the country?" Forty percent answered, "crime." Construct a 88% confidence interval for the population proportion of Americans who feel that crime is the main problem.p'=α2=zα2=Margin of Error: E=We are 88% confident that the proportion of Americans who feel that crime is the main problem is between____ and ____.arrow_forwardWhen computing the variance using a sample of size n = 30, we divide the sum of squared deviations by Give your answer as a whole number.arrow_forwardA random sample of 154 recent donations at a certain blood bank reveals that 86 were type A blood. Does this suggest that the actual percentage of type A donations differs from 40%, the percentage of the population having type A blood? Carry out a test of the appropriate hypotheses using a significance level of 0.01. (b) Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = P-value =arrow_forward
- A previous study showed to determine whether a sales tax on soda will reduce consumption of soda in the US below the current per-capita level of about 50 gallons of soda per year. Hypotheses Test is Ho: m(mue) =50 vs. Ha: m<50 where m (mue) represents the average annual consumption of soda in communities where the sales tax is implemented. (b) Now supposed sample results give a p-value of 0.41. Interpret this p-value in terms of random chance and in the context of taxes and soda consumption.arrow_forwardPlease help show me how to get the values of t= and P-valuearrow_forwardResearchers induced the growth of tumors in a sample of 9 mice. The average size of the tumors in the sample was 4.3 mm and the sample standard deviation was s = 1.2 mm. Test whether the mean tumor size differs from 4.0 mm. Use α=.10 State the null and alternative hypotheses. Determine the rejection region – indicate how you did this; don’t just give the answer. Compute the test statistic – indicate what formula was used. What is your conclusion and why?arrow_forward
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
- Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman