Respuesta :
Answer:
[tex]p_v =2*P(t_{7}>2.35)=2*0.0255=0.051[/tex]
If we compare the p value and using the significance level given [tex]\alpha=0.05[/tex] we have [tex]p_v>\alpha[/tex] so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% or 1% of significance we fail to reject the null hypothesis.
Step-by-step explanation:
It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.
The significance level is not provided but we can assume it as [tex]\alpha=0.05[/tex]. First we need to calculate the degrees of freedom like this:
[tex]df=n-1=8-1=7[/tex]
The next step would be calculate the p value for this test. Since is a bilateral test or two tailed test, the p value would be:
[tex]p_v =2*P(t_{7}>2.35)=2*0.0255=0.051[/tex]
If we compare the p value and using the significance level given [tex]\alpha=0.05[/tex] we have [tex]p_v>\alpha[/tex] so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% or 1% of significance we fail to reject the null hypothesis.
