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[AP Statistics] 9.2b Classwork/Homework

By Oliver Khamky
Last updated about 1 year ago
32 Questions
1
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≠_______

Find the p-value for this test.

Round to the nearest Thousandth

At a significance level of 10%, what would you conclude?

At a significance level of 5%, what would you conclude?

At a significance level of 1%, what would you conclude?

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

How does that relate to the p-value for a two-sided test?

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?

What is a Type 2 error in this context?

In your opinion, which error is more consequential? Why?

Does a significance level of 1% or 10% make more sense in this context? Explain why

Blank question, ignore



H0: p=_______
Ha: p≠_______

Round to the nearest Hundredth

Calculate the Standardized Test Statistic

Round to the nearest Hundredth

Calculate the P-Value

Round to the nearest Hundredth

What conclusion would you make at the 5% level?

Explain

Section 9-2

STATE

PLAN

DO

CONCLUDE

Section 9-1



Describe a Type 1 Error in this context

Describe a Type 2 Error in this context

Which one is more consequential?

Explain why

What significance level should you choose: 5% or 10%?

Explain why

Section 9-1


Explain

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.