Amazon.com is one of the largest Internet-based retailers in the world. The company offers a “prime” membership for a fee, which provides certain benefits for members. A recent report states that 46% of U.S. households have an Amazon “prime” membership. Penelope wants to know if this proportion is different for her large hometown. She selects a random sample of 80 households from her hometown and finds that 45 of them have an Amazon “prime” membership.
State the hypotheses to test:
H0: p=_______
Ha: p≠_______
1
2.
Find the p-value for this test.
Round to the nearest Thousandth
1
3.
At a significance level of 10%, what would you conclude?
1
4.
At a significance level of 5%, what would you conclude?
1
5.
At a significance level of 1%, what would you conclude?
1
6.
What would be the p-value if this were a one-sided test instead?
H0: p=0.46
Ha: p>0.46
Round to the nearest Thousandth
1
7.
How does that relate to the p-value for a two-sided test?
1
8.
A statistics major and a finance major decide to get married. They are trying to save money to pay for the wedding and need to figure out how many people will actually attend out of the 200 they plan to invite. For most weddings, data suggests that about 75% of people you invite to a wedding actually come. They suspect their friends and family are more dedicated than most, so they believe more than 75% will come.
They want to test the hypothesis:
H0: p = 0.75
Ha: p > 0.75
Where p is the true proportion of invited people that will actually come to the wedding.
They select a random sample of their guests and determine how many of them actually plan on coming to the wedding.
What is a Type 1 error in this context?
1
9.
What is a Type 2 error in this context?
1
10.
In your opinion, which error is more consequential? Why?
1
11.
Does a significance level of 1% or 10% make more sense in this context? Explain why
1
12.
Blank question, ignore
1
13.
H0: p=_______
Ha: p≠_______
Round to the nearest Hundredth
1
14.
Calculate the Standardized Test Statistic
Round to the nearest Hundredth
1
15.
Calculate the P-Value
Round to the nearest Hundredth
1
16.
What conclusion would you make at the 5% level?
1
17.
Explain
1
18.
Section 9-2
STATE
1
19.
PLAN
1
20.
DO
1
21.
CONCLUDE
1
22.
Section 9-1
Describe a Type 1 Error in this context
1
23.
Describe a Type 2 Error in this context
1
24.
Which one is more consequential?
1
25.
Explain why
1
26.
What significance level should you choose: 5% or 10%?
1
27.
Explain why
1
28.
Section 9-1
1
29.
1
30.
Explain
1
31.
1
32.
Are there any problems above that you would like to go over in class? Indicate the question numbers below (Numbers refer to the Formative question number). I'll try to cover anything that is highly requested.