An anatomy teacher hypothesizes that the final grades in her class are distributed as 10% A's, 23% B's, 45% C's, 14% D's, and 8% F's. At the end of the semester, she has the following grades.

A 6

B 14

C 22

D 8

E 4

Test her claim at 5% significance level.

At a plus or minus 5%

Her claim is wrong

Step-by-step explanation:

Ok ...

Let's calculate the total amount of result first.

6 + 14+22+8+4 = 54.

Let's take the percentage of each.

For A

6/54 = 0.11

11.1%

11.1%*5% = 10.5

For B

14/54

=0.25925

= 25.9%

25.9%*5% = 24.605

For C

22/54

0.4074

40.7%

40.7*5% = 42.73%

For D

8/54

= 0.148

14.8%

14.8%*5% = 14.06%

For E

4/54

= 0.074

= 7.4%

7.4%*5%=7.77%

But she suggested

10% A's, 23% B's, 45% C's, 14% D's, and 8% F's