According to the table, we have that the correct option is:
5.)The proportion of all correctly classified violins that are old is equal to the proportion of all new violins that are incorrectly classified.
Statement 1:
15 of 33 new are correctly classified, thus, the proportion is:
[tex]p_N = \frac{15}{33} = 0.4545[/tex]
18 out of 31 old, thus:
[tex]p_O = \frac{18}{31} = 0.58[/tex]
Proportions are different, thus, statement 1 is false.
Statement 2:
13 out of 31 old are incorrectly classified, thus:
[tex]p = \frac{13}{31} = 0.4194[/tex]
Different than 0.4545, thus, statement 2 is false.
Statement 3:
Out of 31 incorrectly classified, 13 are old.
Out of 33 correctly classified, 15 are new.
Different proportions, thus, statement 3 is false.
Statement 4:
Out of the 33 new, 15 are correctly classified and 18 incorrectly, different proportions, thus, statement 4 is false.
Statement 5:
18 out of 33 correctly classified are old.
18 out of 33 new violins are incorrectly classified.
Same proportion, thus, statement 5 is true.
A similar problem is given at https://brainly.com/question/12612621
