Consider a scenario where the proportion of students in your class who put Tim’s
ID: 3359554 • Letter: C
Question
Consider a scenario where the proportion of students in your class who put Tim’s name with the photo was actually larger than than 67 out of 100.
How would this have affected the p-value? (circle one) Larger Same Smaller
How would this have affected the standardized value of the test statistics? (circle one)
Larger Same Smaller
How would this have affected the strength of evidence against the null hypothesis:
Stronger Same Weaker
Explanation / Answer
Answer to the question)
The probability of head P( H) = 0.5
We consder that total number of trials (n ) = 100 ....(you may use some other value as provided in the data)
[I am using these values since no other values are provided in the question , this helps us to understand how the formula in the calculator works]
c = 67 -1 = 66
.
Now we need to find the probability from 67 to 100 , because the quesions "67 or more extreme" . This implies we need to find the probability of 67 or more
.
for that we enter the following values in the binomcdf formula
Click on STATS > DISTR > BINOMCDF
The formula to be used is ; 1 - binomcdf(n, p c)
P(x > = 67) = P(x >66) = 1- binomcdf(100,0.5,66)
P(x > =67) = 0.000437
.
Explanation:
like this the function binomcdf(100,0.5,66) gives us the probability of x = 0 to x = 66 , we subtract this cumulative probability from 1 to get the proabbility of 67 and more