A study conducted last year indicated that adults spent an a

A study conducted last year indicated that adults spent an avaerage of 14 hours on household chores during the weekend. A research group wishes to dertemine if the average hours spent on household chores during the weekend this year is different from last year, consequently,

(a) formulate and test the appropriate hypothesis using the p-value approach.What is the p-value of the test? Would you reject the null hypothesis at a=0.01? what would be your conclussion?

(b) Would reject the null hypothesis at a 0.001? What would be you conclusion?

(c) How strong is the evidence against Ho ?( Refer to Unit 4, section7 , in the study guide)

Solution

a.)

Ho: u = 14
Ha: u # 14
z(15.05) = (15.05-14)/3 = 1.05/(3/sqrt(64)) = 2.8

P(z<2.8)= .99744
p = 0.9974

alpha = 0.01 , if you were just looking for it to be different. Generally, you would be looking at a two sided test.
you will be look for p = 1 - alpha/2 = 1- 0.01/2 = 0.995
so p of 0.99744 is greater than 0.995 so you can reject the Null Hypothesis.
The conclusion is that the data is different than last year.

do similarly next part.