Question

1. Provide a real world example of a Type I error. 2. Explain what a critical value is, and explain how it is used to test a hypothesis. 3. Explain what a p-value is, and explain how it is used to test a hypothesis. 4. How do we decide whether to use a z test or a t test when testing a hypothesis about a population mean?

Answer #1

Provide a real world example of a Type I error.
2. Explain what a critical value is, and explain how
it is used to test a hypothesis.
3. Explain what a p-value is, and explain how it is
used to test a hypothesis.
4. How do we decide whether to use a z test or a t
test when testing a hypothesis about a population mean?

Explain a real-world example of when a hypothesis test could be
used. The example can use real data or data that you make up, such
as values for the mean, standard deviation, and sample size. Be
sure to note if the standard deviation is from the population or
the sample.

1) Give an example of a type I error.
2.
Give an example of a type II error.
3.
What type of t-test would you use when the same group is tested
twice at different time points?

Can someone answer and explain how to do these problems?
1 Type II Error: For the roulette table in (Q6), determine which
hypothesis testing scenario has the larger Type II error
probability for a two-sided hypothesis for HO: p=18/19:
1. a) N=10,000, p=0.96 , α=0.05 OR b) N=10,000, p=0.97 ,
α=0.05.
2. a) N=10,000, p=0.96, α=0.05 OR b) N=50,000, p=0.96,
α=0.05.
3. a) N=10,000, p=0.97, α=0.05 OR b) N=10,000, p=0.97,
α=0.01.
Describe how the Type II error is influenced by...

The p-value is greater than the significance level.
(a) We can have a Type I error
(b) The absolute value of the test statistic is less than the
absolute value of the t critical value
(c) If we had used a larger value for alpha the p-value would
have been smaller
(d) We must have had a two tail test

For the given significance test, explain the meaning of a Type I
error, a Type II error, or a correct decision as specified. A
health insurer has determined that the "reasonable and customary"
fee for a certain medical procedure is $1200. They suspect that the
average fee charged by one particular clinic for this procedure is
higher than $1200. The insurer performs a significance test to
determine whether their suspicion is correct using α = 0.05. The
hypotheses are:
H0:...

Can explain how to do these problems?
1 Type II Error: For the roulette table in (Q6), determine which
hypothesis testing scenario has the larger Type II error
probability for a two-sided hypothesis for HO: p=18/19:
1. a) N=10,000, p=0.96 , α=0.05 OR b) N=10,000, p=0.97 ,
α=0.05.
2. a) N=10,000, p=0.96, α=0.05 OR b) N=50,000, p=0.96,
α=0.05.
3. a) N=10,000, p=0.97, α=0.05 OR b) N=10,000, p=0.97, α=0.01.
Describe how the Type II error is influenced by N, p and...

1. Alpha is the probability of committing a Type I Error
if…
a. The null distribution is true
b. The null distribution is false
c. n is larger than 30
d. the alternative distribution is true
2. We are more likely to reject the null as…
a. Alpha goes down
b. n goes down
c. variation goes down
d. the difference between sample and population mean goes
down
3. Which of the following is true of a one-tailed test?
a....

1 The probability of type II error becomes bigger if the level
of significance is changed from 0.01 to 0.05.
True
False
2
Increasing the sample size reduces the probability of committing
a Type I and Type II simultaneously.
True
False
3
In testing a hypothesis about a population mean with an unknown
population standard deviation (σ ) the degrees of freedom
is used in the denominator of the test statistic.
True
False
4
When a researcher fails to reject...

Explain what a p-value means relative to hypothesis
testing.
b. Explain why a |z critical value|
and corresponding p-value are inversely related. (Vertical bars
denote absolute value.)
c. Explain the difference between a
one-tail and a two-tail test relative to hypothesis testing.

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