In a study of smokers who tried to quit smoking 39 were smoking year after treatment and 32 were not smoking.

Question

Use a 0.05 significance level to test that the majority of people ARE smoking a year after the treatment.

a) what is the null hypothesis?

b) what is the alternative hypothesis?

c) what is the value of the standard score for the sample proportion?

d) what is the critical value?

e) what is the p-value?

f) What do you conclude?

g) Describe a type 1 error for this test.

h) describe a type 2 error for this test.

i) what is the p-value if the claim is modified to state that the proportion is equal to 0.5?

 

I am so lost on how to find the elements needed to solve this problem. There isn't a sample size or standard deviation and I'm lost on how to find them.

Answer 1

Though the sample size and standard deviation are not directly given to you, you can calculate both with the information given.  You will be testing the value of a proportion.

 

To get started: 

 

The sample size (n) is simply the number of smokers and non-smokers after one year of treatment.

 

The standard deviation is the square root of (((hypothesized p * (1 - hypothesized p))/n)).  

 

Hope this helps to get you started!