USE THE FOLLOWING DIRECTION FOR 1A AND 1B: In 2010, a randomsample of 250 dog owners was taken and it was found that 140 ownedmore than one dog. Recently, a random sample of 400 dog ownersshowed that 200 owned more than one dog. Do these data indicatethat the proportion of dog owners owning more than one dog hasdecreased? Use a 5% level of significance, and p1= proportion ofdog owners who owned more than one dog in 2010. If you conducthypothesis testing, you have to consider:
a. one-tailed test
b. two-tailed test
c. one-tailed test because sample proportions are different.
d. two-tailed test because sample size is large.
1b.) Assuming computed Z of 1.04 for the test, what is yourconclusion?
a. Reject H0. Proportion of dog owners owning more than one doghas decreased.
b. Fail to reject H0. Proportion of dog owners owning more thanone dog has decreased.
c. Reject H0. Proportion of dog owners owning more than one doghas not decreased.
d. Fail to reject H0. Proportion of dog owners owning more thanone dog has not decreased.
e. None of the above.
1c.) A Rutgers University professor claims that there is nosignificant difference between proportion of female (f) and malestudents (m) of the university who exercise at least 15 minutes aday. What would be a proper conclusion if he collects data,conducts hypothesis test, and finds P-value of 0%.
a. Reject H0. There is a significant difference. -->I THINK THIS IS THE ANSWER BUT I JUST WANT TO KNOW WHY
b. Reject H0. There is no significant difference.
c. Fail to reject H0. There is a significant difference.
d. Fail to reject H0. There is no significant difference.
1d.) A Rutgers University professor claims that female studentsstudy more than male students. What would be a proper conclusion ifhe collects data from random sample of 200 males and sample of 343females, and finds P-value of 0.65?
a. Reject H0. Female students study more than male students.
b. Fail to reject H0. Female students study more than malestudents.
c. Fail to reject H0. Female students study less than malestudents.
d. Fail to reject H0. Female students study almost thesame as male students. ---> I THINK THIS IS THE ANSWER I JUSTWANT TO KNOW WHY
