Respuesta :
Answer:
C. There is sufficient evidence to support the claim µ1 > µ2
Step-by-step explanation:
The null hypothesis in this case would be:
H0: µ1 = µ2.
And the alternative would be:
H1: µ1 > µ2.
Then if the null hypothesis is rejected, statistically both samples do not have an equal mean, you reject that µ1 = µ2. And so, you accept the alternative hypothesis: µ1 > µ2.
The correct answer is C.
Answer:
C. There is sufficient evidence to support the claim µ1 > µ2 TRUE
Step-by-step explanation:
A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".
The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".
The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".
On this case we want to test is [tex]\mu_{1}>\mu_{2}[/tex], so then the system of hypothesis are:
So the correct system of hypothesis for this case would be:
Null hypothesis: [tex]\mu_{1} \leq \mu_{2}[/tex]
Alternative hypothesis: [tex] \mu_{1} > \mu_{2}[/tex]
how should you interpret a decision that rejects the null hypothesis?
A. There is sufficient evidence to reject the claim µ1 > µ2 FALSE
B. There is not sufficient evidence to reject the claim µ1 > µ2 FALSE
C. There is sufficient evidence to support the claim µ1 > µ2 TRUE
D. There is not sufficient evidence to support the claim µ1 > µ2 FALSE
