A sample of 50 chewable vitamin tablets have a sample mean of 300 milligrams of vitamin C. Nutritionists want to perform a hypothesis test to determine how strong the evidence is that the Mean mass of vitamin C per tablet differs from 297 milligrams. State the appropriate null and
Alternate hypotheses.
A) $H _ { 0 } : \mu \neq 300 , H _ { 1 } : \mu = 300$
B) $H _ { 0 } : \mu = 300 , H _ { 1 } : \mu \neq 300$
C) $H _ { 0 } : \mu = 297 , H _ { 1 } : \mu \neq 297$
D) $H _ { 0 } : \mu \neq 297 , H _ { 1 } : \mu = 297$

Question

A sample of 50 chewable vitamin tablets have a sample mean of 300 milligrams of vitamin C. Nutritionists want to perform a hypothesis test to determine how strong the evidence is that the Mean mass of vitamin C per tablet differs from 297 milligrams. State the appropriate null and
Alternate hypotheses. 
A) $H _ { 0 } : \mu \neq 300 , H _ { 1 } : \mu = 300$
B) $H _ { 0 } : \mu = 300 , H _ { 1 } : \mu \neq 300$
C) $H _ { 0 } : \mu = 297 , H _ { 1 } : \mu \neq 297$
D) $H _ { 0 } : \mu \neq 297 , H _ { 1 } : \mu = 297$

Quizplus · Accepted Answer

The null hypothesis always states that there is no effect or no difference, so it should state the condition of equality. In this case, it's testing if the mean mass of vitamin C per tablet is equal to 297 milligrams. The alternative hypothesis is what the test is trying to find evidence for, which is any difference from 297 milligrams.

A Sample of 50 Chewable Vitamin Tablets Have a Sample H0:μ≠300,H1:μ=300H _ { 0 } : \mu \neq 300 , H _ { 1 } : \mu = 300H0​:μ=300,H1​:μ=300

A Sample of 50 Chewable Vitamin Tablets Have a Sample $H _ { 0 } : \mu \neq 300 , H _ { 1 } : \mu = 300$