In 1965, about 44% of the U. S. adult population had never smoked cigarettes. A national health survey of 1472 U. S. adults, presumably selected randomly, during 2010 revealed that 677 had never smoked cigarettes. Suppose you wished to test whether there has been a change since 1965 in the proportion of U. S. adults who have never smoked cigarettes. You test the hypotheses H 0 : p = 0.44 , H α : p ≠ 0.44 . The P ‑value of the test is:

P < 0.44 \, \, or \, \, P> 0.44 )

Step-by-step explanation:

From the question , we were given the following details:

44% of the U.S. adult population had never smoked cigarettes. This means that the proportion of the population is 44/100=0.44

There is need for us to test whether there has been a change, of which the change could be either in the form of increase or decrease.

Thus, below is our hypothesis :

H_o: P = 0.44

H_1: P \neq 0.44

Thus,  P < 0.44 \, \, or \, \, P> 0.44 )

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.