## Sample Distribution for Proportions check hmwk please

Ch. 18.
According to Gallup, about 33% of American students polled said they frequently experience stress in their daily lives. Suppose you are in a class of 50 students.

a. What is the probability that no more than 15 students in the class will say that they frequently experience stress in their daily lives? (Name the probability model that you will use to solve this problem. Make sure to check all necessary conditions.)

P = .33
n = 50
p(hat) = .30
Stand-deviation= .0665
z= -.4511
normalCDF(.10^9, .30, .33, .06650) = .32595

Phat(greater than or equal to 15) = .32595

b. If 24 students in the class said they frequently experience stress in their daily lives, would you be surprised? Explain, and use statistics to support your answer

p =.33
n =50
P(hat) =.48
standard deviation = .0665

NormalCdf(0, .48, .33, .0665) = .98795

Phat = .98795

based off these stats I would find the results surprising since the P-value is way higher than the 33% supplied by Gallup