Question

In 1965, about 44% of the U.S. adult population had never smoked cigarettes. A national health survey of 1205 U.S. adults (presumably selected randomly) during 2006 revealed that 615 had never smoked cigarettes.
Reference: Ref 18-5

Suppose you wished to test whether there has been a change since 1965 in the proportion of U.S. adults that have never smoked cigarettes. Which of the following are the appropriate hypotheses?
A. H0: p = 0.44, Ha: p > 0.44
B. H0: p = 0.51, Ha: p 0.51
C. H0: p = 0.44, Ha: p 0.44
D. H0: = 0.44, Ha: 0.44

The P-value of the test of hypotheses is
A. greater than 0.10.
B. between 0.05 and 0.10.
C. between .01 and 0.05.
D. below 0.01.

Answer 1

@jim_thompson5910

Answer 2

what did you get for the first part

Answer 3

I forgot to mention that there was a misprint when I pasted.. B is not equal, same with C, and then there is a p ^ for both of D's answers... I think it's B....

Answer 4

D is out because you're not testing p^, you're testing p

Answer 5

how are you getting 51% ?

the given percentage is 44%

Answer 6

oh i see, you divided 615/1205 = 0.51, but that's p^ and NOT p

Answer 7

I meant C?

Answer 8

you did eh? lol

yeah C is correct

Answer 9

Haha I glanced over them didn't realize that there were 2 of the same haha... I wanted the one that was not equal :D.

Answer 10

Would the next part be B?

Answer 11

you first need to find the test statistic

Answer 12

hmm....

Answer 13

use the formula

z = (m - p)/(sqrt(pq/n))

where m is the test statistic and q = 1-p

z = (m - p)/(sqrt(pq/n))

z = (0.51037 - 0.44)/(sqrt(0.44*0.56/1205))

z = 4.92108

So the test statistic is z = 4.92108

Answer 14

now you need to find P(z > 4.92108) and double this result

Answer 15

you can get away without even using a calculator though because notice how far z = 4.92108 is from z = 0

Answer 16

mhm,.

Answer 17

so what's the p value

Answer 18

not b hmm? A?

Answer 19

what did you get for the p-value, which numeric value did you get

Answer 20

not sure....

Answer 21

calculate P(z > 4.92108), what do you get

Answer 22

How do we calculate that again without the table?

Answer 23

type

normalcdf(4.92108, 10)

into wolfram alpha

Answer 24

or you can use a TI calculator to do the same thing

Answer 25

hm.... Now the le end poin is almos 5, but the oher bnumbers are super tiny

Answer 26

so that means what

Answer 27

A or D.

Answer 28

why A

Answer 29

Well like I said I wasn't sre if it was the 5 or tiny #'s.. So D then :)

Answer 30

well the p value is very very small, so it has to be less than 0.01

Answer 31

the p value is the 4th value down

Answer 32

well you double it first, but still, it's very small