Question

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

Type 1 error - The null hypothesis is true but getting rejected due to lack of evidence.

Example- A person is innocent but due to lack of evidence he found to be guilty.

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2. Critical value is the value on the basis of which we make a decision whether to accept or reject the null hypothesis.

If test stats is less than absolute value of critical value the we fail to reject the null hypothesis.

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3. In hypothesis test p - value determines significance of result.

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4. Z test is used if distribution is normal and population standard deviation is known .in population standard deviation is unknown than t- distribution.

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.

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

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?

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.

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 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...

1. You have a two-tailed test. The t critical value is 2.36 and
the test statistic is 3.11. Assume the null hypothesis is true. The
result is (a) Type I error (b) Type II error (c) Correct
decision
2. You have a right-tailed test. The t critical value is 1.74
and the test statistic is 1.46. Assume the null hypothesis is true.
The result is (a)Type I error (b) Type II error (c) Correct
decision
3. You have a right-tailed...

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...

Please show work/explain:
Based on a random sample of 25 units of product X, the average
weight is 102 lb and the sample standard deviation is 10 lb. We
would like to decide whether there is enough evidence to establish
that the average weight for the population of product X is greater
than 100 lb. Assume the population is normally distributed. Using
the critical value rule, at α = .01.
What is the critical value for this hypothesis test?
Group...

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