Respuesta :
Answer:
a) [tex]P_v =P(z>2.82) = 1-P(z<2.82)=1-0.9976=0.0024[/tex]
b) [tex]P_v= P(z<-1.28) = P(z<-1.28)=0.1002[/tex]
c) [tex]P_v= 2*P(z<-1.55) = 2*P(z<-1.55)=2*0.0606=0.1212[/tex]
Step-by-step explanation:
It's important to refresh the p value method or p value approach . "This methos 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.
Part a
A right tailed test (usually called an upper test) is where the alternative hypothesis statement contains a greater than (>) symbol
The p value on this case is given by:
[tex]P_v =P(z>2.82) = 1-P(z<2.82)=1-0.9976=0.0024[/tex]
We can calculate the probability in excel like this:
"=1-NORM.DIST(2.82,0,1,TRUE)"
Part b
A left tailed test (usually called an lower test) is where the alternative hypothesis statement contains a greater than (<) symbol
The p value on this case is given by:
[tex]P_v= P(z<-1.28) = P(z<-1.28)=0.1002[/tex]
We can calculate the probability in excel like this:
"=NORM.DIST(-1.28,0,1,TRUE)"
Part c
A two tailed test (usually called an bilateral test) is where the alternative hypothesis statement contains a not equal [tex]\neq[/tex] symbol
The p value on this case is given by:
[tex]P_v= 2*P(z<-1.55) = 2*P(z<-1.55)=2*0.0606=0.1212[/tex]
We can calculate the probability in excel like this:
"=2*NORM.DIST(-1.55,0,1,TRUE)"
