Define the critical region for a hypothesis test, and explain how the critical region is related to the alpha level.
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- lecturer would like to know if the foundation Cumulative Grade Point Average (CGPA) predicts the undergraduate CGPA of engineering students at year one. She obtained the relevant information from 105 randomly selected students as follows: Σy = 333.15, Σxy = 1043.626, = 1021.487, > y² = 1077.836 %| Σ %3D (i) Obtain the least square regression line, ŷ = a + bx for the study. (ii) Estimate the strength of the association between the foundation CGPA and CGPA in year one. Interpret the result.A clinic developed a diet to impact body mass (fat and muscle). A nutritionist in the clinic hypothesizes that heavier individuals on the diet will predict less body fat. Below are the data for a sample of clients from the clinic. Weight is measured in kilograms (kg) and percentage body fat is estimated through skinfold measurement. What can the nutritionist conclude with α = 0.01? Weight Fat 90896760947483781016867 2928252430263026312430 a) What is the appropriate statistic? Compute the statistic selected in a) b Obtain/compute the appropriate values to make a decision about H0. critical value= test statistic= c) Compute the corresponding effect size(s) and indicate magnitude(s).If not appropriate, input and/or select "na" below.Would like to know if I calculated this correctly. Please see my answers for the questions. Endothelin is a powerful vasoconstrictor peptide derived from the endothelium. The contribution of endothelin to blood-pressure regulation in patients with hypertension was as-sessed by studying the effect of an endothelin-receptor antagonist, Bosentan. In the study, 293 patients with mild to moderate hypertension were randomized to receive one of four oral doses of Bosentan (100, 500, 1000, or 2000 mg daily), a placebo, or the ACE (angiotensin-converting enzyme) inhibitor enalapril (an established antihypertensive drug) [18]. The reported mean changes in systolic blood pressure (SBP) over a 24-hour period are shown in Table 11.23. Table 11.23 Mean change in SBP over 24 hours Group Mean Change Bosentan dose (mg) ln(dose) Placebo -0.9 1 0 100mg bosentan -2.5 100 4.61 500 mg bosentan -8.4 500 6.21 1000 mg bosentan -7.4 1000 6.91 2000 mg bosentan -10.3 2000 7.60 11.61 What test can…
- Two professors at a local college developed a new teaching curriculum designed to increase students' grades in math classes. In a typical developmental math course, 49%of the students complete the course with a letter grade of A, B, or C. In the experimental course, of the 17 students enrolled, 12 completed the course with a letter grade of A, B, or C. Is the experimental course effective at the α=0.05 level of significance? Complete parts (a) through (g).Neurologists have found that the hippocampus, a structure located in the brain, plays an important role in short-term memory. Data was collected on 21 Vietnam veterans with combat related post-traumatic stress disorder. Magnetic resonance imaging was used to measure the volume of the right hippocampus (in cubic millimeters) of each subject, while the verbal memory retention of each subject was measured by the percent retention subscale of the Wechsler Memory Scale. The least squares line relating verbal memory (y) with right hippocampal volume (x) was found to be 4 + 3x. The slope of the regression line can be interpreted in the following way: ŷ = When right hippocampal volume decreases by one cubic millimeter, the verbal memory score increases by 3%. When right hippocampal volume decreases by one cubic millimeter, the verbal memory score increases by 4%. When right hippocampal volume increases by one cubic millime decreases by 3%. the verbal memory score When right hippocampal volume…HYPOTHESIS TEST # 3 . The National Veterinarian ASsociation says the average cost of pet care over the lifetime of a pet = $ 6,520 with stdev = $ 318. Jim Bowser, the statistician for the NVA, claims the average is lower so he tests a sample of 32 pet owners and finds a sample mean= $ 6,423 with stdev = $ 318. At alpha = 0.05, PROVIDE A DETAILED TEST by answering the questions below.----- DO NOT USE THE P-VALUE METHOD-USE THE TRADITIONAL METHOD-do not use a t test. THE TABLE IS OPTIONAL–FILL IN ALL ANSWERS FROM A THROUGH I BELOW
- Write the null hypothesis for testing the statistical significance of the interaction effect for the regression model Y= B, + B,X, +B,D, + B,X,D,.BONUS: Explain (with examples if possible) the relationship between the p-value, alpha, your obtained statistic and your critical value.To combat antibiotic resistance, the Quality Improvement Consortium recommends a throat swab to confirm strep throat before a physician prescribes antibiotics to children under age 5. Nationally, 40 percent of children under 5 who received antibiotics did not have a throat swab. The Colorado Department of Health took a random sample of 100 children under the age of 5 who received antibiotics for throat infections and found that 30 did not have a throat swab. At α = .05, is this a statistically significant reduction over last year’s national rate of 40 percent? (a-1) Choose the correct null and alternative hypotheses. H0: π ≥ .40 vs. H1: π < .40 H0: π ≤ .40 vs. H1: π > .40 H0: π = .40 vs. H1: π ≠ .40 (a-2) Calculate the critical value. (A negative value should be indicated by a minus sign. Round your answer to 3 decimal places.) Critical value (a-3) Calculate the test statistic. (A negative value should be indicated by a minus sign. Round your…
- The director of student services at Oxnard College is interested in whether women are less likely to attend orientation than men before they begin their coursework. A random sample of freshmen at Oxnard College were asked what their gender is and whether they attended orientation. The results of the survey are shown below: Data for Gender vs. Orientation Attendance Women Men Yes 374 522 No 231 263 What can be concluded at the αα = 0.05 level of significance? For this study, we should use? Select an answer t-test for a population mean z-test for the difference between two population proportions? z-test for a population proportion? t-test for the difference between two dependent population means? t-test for the difference between two independent population means? The null and alternative hypotheses would be: H0:H0: Select an answer p1 or μ1 Select an answer > = ≠ < Select an answer p2 or μ2 (please enter a decimal) H1:H1: Select an answer μ1…A new screening test for Lyme disease is developed for use in the general population. The sensitivity and specificity of the new test are 60% and 70%, respectively. Five hundred people are screened at a clinic during the first year the new test is implemented. Assume the true prevalence of Lyme disease among clinic attendees is 10%. Calculate the predictive value of a positive test.Two professors at a local college developed a new teaching curriculum designed to increase students' grades in math classes. In a typical developmental math course, 49%of the students complete the course with a letter grade of A, B, or C. In the experimental course, of the 17 students enrolled, 12 completed the course with a letter grade of A, B, or C. Is the experimental course effective at the α=0.05 level of significance? Complete parts (a) through (g).
