Answer:
We conclude that seniors skip more than 2% of their classes at 0.01 level of significance.
Step-by-step explanation:
We are given that a professor wishes to discover if seniors skip more classes than freshmen. Suppose he knows that freshmen skip 2% of their classes. 
He randomly samples a group of seniors and out of 2521 classes, the group skipped 77.
<u><em /></u>
<u><em>Let p = percentage of seniors who skip their classes.</em></u>
So, Null Hypothesis,  : p
 : p  2%   {means that seniors skip less than or equal to 2% of their classes}
 2%   {means that seniors skip less than or equal to 2% of their classes}
Alternate Hypothesis,  : p > 2%   {means that seniors skip more than 2% of their classes}
 : p > 2%   {means that seniors skip more than 2% of their classes}
The test statistics that will be used here is <u>One-sample z proportion</u> <u>statistics</u>;
                                    T.S.  =  ~ N(0,1)
  ~ N(0,1)
where,  = sample proportion of seniors who skipped their classes =
 = sample proportion of seniors who skipped their classes =  
 
            n = sample of classes = 2521
So, <u><em>test statistics</em></u>  =  
                                =  3.08
The value of the test statistics is 3.08.
Now at 0.01 significance level, <u>the z table gives critical value of 2.3263 for right-tailed test</u>. Since our test statistics is more than the critical value of z as 2.3263 < 3.08, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which <u>we reject our null hypothesis</u>.
Therefore, we conclude that seniors skip more than 2% of their classes.