what is the test statistic

Question

The claim is that the proportion of adults who smoked a cigarette in the past week is less than 0.35, and the sample statistics include nequals=1621 subjects with 551 saying that they smoked a cigarette in the past week.

 

Answer 1

 p = 0.35 ---> 1-P = 0.65

 P=551/1621 = 0.34

 

(P-p)/ sqrt(P(1-P)/N)

 

 P-p = 0.34-0.35 = 0.01

 

The denominator is sqrt( 0.35*0.65/1621) = 0.01184675

 

The test statistic is then 0.01/0.01184675 = 0.8441133644224842256315....

 

The evidence supports the claim that the proportion is less than 35%