, Very tough Data Questions:
They are asking for the maximal value, and therefore, we are going to have 3 values and
they are saying that we reject 2. We just get the maximal. Therefore, we apply the
convolution filter, with window size 3 and find, 6,6.8,7 and hence we stay with the 7.
So here we have a null hypothesis which is that this group performed the same as any
random group and an alternative hypothesis which is that the group performed better than
any random group. Moreover, we reject the null hypothesis if the p value is smaller than the
significance level which in this case is 0.05. Therefore, they are asking us how many
students need to pass in order for us to reject the null hypothesis. Therefore, only when k=7,
(7 students) the p value is smaller than 0.05. This can be seen in the table.