I need help only on letter e and g

Part III: Two-Population, Proportion Question (45 total pts)

Question: Do you have any pets?

Data: Female 43 yes 27 No

Male 38 yes 27 no

a) (1pt) What is the question you asked the student?

Do you have any pets?

b) (3pt) Why are you interested in this question? For example, is it related to a particu3lar hobby, job, or general interest of yours, and how? (There is no right or wrong answer)3

I am interested in this question because it is interesting in knowing how many people have pets because not everyone is an animal lover or cannot have pets.

2.) Hypothesis Testing:

a) (6pt) Decide on a claim to test, meaning construct Ho and HA. Also, explain in words the meaning of your population parameters.

Population parameters: Male and female population are mentioned

The claim is

Ho: P1= P2

HA: P1 P2

Null Hypothesis (Ho): The genders, female and male whether they have pets or not are independent. This means that there is no relation between females and males having pets or not.

Alternative Hypothesis (Ha): The genders, female and male whether they own pets or not are dependent. This means that there is a relation between females and males owning pets or not.

b) (3pt) Is your test a left tail, right tail, or 2 tailed test? Why did you decide on this (Note: Many times, this will be up to you as a statistician & what you believe are the appropriate inequalities to use.)

My test is the two tailed test and I decided on this because the two tailed test will allow us to know whether there is a significant difference between male and female who have pet or not.

c) (2pt) What is the value of your significance level? You can choose your own.

Significance level: 0.05.

I am going to use a significance level of 0.05, to show that there is a 5% chance of having a difference when there is no difference.

d) (4pt) What are the type I & type II errors? Explain them in the context of the problem.

Type 1 error is when we reject a true null hypothesis. In context of the problem, we state that there is a major difference between the two populations of male and female, but actually there is no difference between male and female population proportion.

Type 2 error is when we fail to reject a false null hypothesis. In context of the problem, we state that there is no major difference between the two populations of male and female, but actually there is a difference between male and female population proportion.

e) (4pt) Describe the sample statistic in words. What is the distribution of the sample statistic? Explain why it has this distribution.

f) (7pt) Use your graphing calculator to calculate the test statistic & p-value. State which calculator command you used and explain why.

Z score= 0.3516

p-value : 0.7251

g) (5pt) Sketch a graph of the region whose area the p-value represents. Label the values of the horizontal axis with the appropriate values.