Week 6 – Hypothesis Testing
38635. Explain the difference between a type 1 and a type 2 error. Use the example of a football game where the referee called the field goal good, but from your seat, you didn’t think it was good. Use phrases like “false positive” and “false negative” in your explanation.
** In your discussion, you were asked to fully explain the steps of hypothesis testing. This might be a good time to get those.
2. Which of the following is a correct way of presenting a null hypothesis? Select ALL that apply. Explain why the others were incorrect.
A. Ho: u = 27
B. u : = 62
C. Ha: p 12
E. Ho: u < 16
4. Work through this hypothesis test using the prompts below. In other words, finish the sentences I have started.
A sample of 200 account balances of credit company showed a mean of customer balance of $2544, but the marketing manager claimed that the mean balance for the population was $2600. The marketing manager said the population standard deviation was $80. Use the p-value approach to conduct a full hypothesis test (all steps) that can be used to determine whether the mean of all account balances is significantly less than $2600. Let α = .10.
To help you go through the steps of hypothesis testing, follow these prompts:
The null hypothesis is
The alternative hypothesis is
This test is (choose 1: one-tailed / two-tailed) because the last sentence contains the words (choose 1: greater than / less than / different from).
I will use a (choose 1: t / z) in my formula because
I have calculated the value of t (or z) to be
(Insert your work for calculating t or z)
I have used t (or z) to get the value of p (most likely from a chart or computer printout – provide that printout).
My p value is
Alpha, which is given in the problem, is
When I compared p to alpha, p is (choose 1: greater than/less than) alpha.
Because of this, I know I should (choose 1: reject / fail to reject) my null hypothesis.
Choose one: In summary, the mean balance is less than $2600 / In summary, the mean balance is NOT less than $2600.
5. Work through this hypothesis test using each step of hypothesis testing. You may want to borrow the prompts from the previous problem.
A sample of 13 homes for sale in ABC City showed a mean asking price of $420,000, but the city claimed that the mean asking price for the population was $417,800. The sample standard deviation of all homes for sale was $3,000. Use the p-value approach to conduct a full hypothesis (all steps – follow the guidance in the last problem) that can be used to determine whether the mean asking price is different from $417,800 Let α =. 0.05
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