Question

A team of researchers investigated differences between triglyceride levels in healthy obese (C - control) subjects and obese subjects with chronic active B or C hepatitis (H). Triglyceride levels of 208 obese controls had a mean value of 1.81 with a standard error of the mean of 0.07 mmol/L. The 39 obese hepatitis subjects had a mean of 0.71 with a standard error of the mean of 0.05. Let α= 0.01. For the given research question: “Is this sufficient evidence for us to conclude that, in general, a difference exists in average triglyceride levels between obese healthy subjects and obese subjects with hepatitis B or C?,” which of the following represent the correct null and alternative hypotheses? (6 answer choices)

A. H₀: µ_C = µ_H; H_A: µ_C ≠µ_H

B. H₀: µ_C ≠µ_H; H_A: µ_C = µ_H

C. H₀: µ_C <µ_H; H_A: µ_C ≥µ_H

D. H₀: µ_C ≤µ_H; H_A: µ_C >µ_H

E. H₀: µ_C >µ_H; H_A: µ_C ≤µ_H

F. H₀: µ_C ≥µ_H; H_A: µ_C <µ_H

kindly show the steps

Answer 1

Solution :

Given that,

A team of researchers investigated differences between triglyceride levels in healthy obese (C - control)

subjects and obese subjects with chronic active B or C hepatitis (H)

This is the two tailed test .

The null and alternative hypothesis is ,

H₀ :  _C = _H

H_A : _C   H