Question

For this discussion board, come up with an example of a hypothesis test that could be conducted. State the null and alternative hpothesis. Then state what it would mean to have a type I vs. a type II error in the given situation. Explain which you think is "worse" given the circumstances. An example is given below using "the boy who cried wolf":

- Null hypothesis: Wolf is not present
- Alternative hypothesis: Wolf is present
- Type I error: The boy cries wolf when there is no wolf present (reject null hypothesis when null hypothesis is true)
- Type II error: The boy does not cry wolf when there is a wolf present (fail to reject null hypothesis when alternative is true)
- Type II error in this case is worse because the people will not think that there is a danger when there actually is.

I need hand written answer to avoid plagrism. Thank you

Answer #1

**thank you**

When we conduct a hypothesis test, there are two ways to make a
mistake. The null hypothesis might be correct, and we end up
rejecting it. This is called a Type I error. On the other hand, the
null hypothesis might be false, and we fail to reject it. This is
called a Type II error. Either type of error can be costly, though
not necessarily equally costly. In the following two scenarios,
think about what is the alternative hypothesis?...

An engineer is designing an experiment to test if airplane
engines are faulty and unsafe to fly. The engineer expects 0.0001%
of engines to be unsafe. The null hypothesis is that the
probability of an unsafe engine is less than or equal to 0.1% and
the alternative hypothesis is that the probability the engine is
unsafe is greater than 0.1%. We consider two types of errors in the
hypothesis testing: a Type I error and Type II error. A Type...

When you incorrectly reject the null hypothesis and claim there
are significant differences between your two means, and no such
difference exists in the population, you have a(n)______
Type I Error
Unstandardized effect size
Type II Error
There is not enough information given to determine
A Type II Error occurs when you fail to reject the null hypothesis
when it is true
True or False

1.Type 1 error is...
a.Correctly rejecting the null hypothesis.
b.Rejecting the null hypothesis when it’s actually true.
c.Correctly failing to reject the null hypothesis.
d.Failing to reject the null hypothesis when it’s actually
false.
2.Power is defined as the probability of...
a.Correctly rejecting the null hypothesis.
b.Correctly failing to reject the null hypothesis.
c.Failing to reject the null hypothesis when it’s actually
false.
d.Rejecting the null hypothesis when it’s actually true.
3. From Study Example 1: Based on the sample,...

Consider the following statements.
(i) If a hypothesis is tested at the 5% significance level with
a given data set, then there is a lower chance that the null
hypothesis will be rejected than if that same hypothesis is tested
at the 1% significance level with the same data set.
(ii) P(Type I Error) + P(Type II Error) =
1.
(iii) If a hypothesis test is performed at the 5% significance
level, and if the alternative hypothesis is actually true,...

Let’s say that the null hypothesis Ho is that John’s
car is safe to drive.
What is the alternative hypothesis Ha ?
Which statement below represents a Type II error?
Which of the following statement represent the Type I
error?
John think the car may be safe when, in fact, it is not
safe.
John thinks the car is safe when, in fact, the car is
safe.
John thinks the car may not be safe when, in fact, it is...

Let’s say that the null hypothesis Ho is that John’s
car is safe to drive.
What is the alternative hypothesis Ha ?
Which statement below represents a Type II error?
Which of the following statement represent the Type I
error?
John think the car may be safe when, in fact, it is not
safe.
John thinks the car is safe when, in fact, the car is
safe.
John thinks the car may not be safe when, in fact, it is...

Identify the type I error and the type II error for a hypothesis
test of the indicated claim.
The percentage of
households with more than 1households with more than 1
pet
is
greater
than
sixtyfive percent
Identify the type I error. Choose the correct answer below.
A. Reject the null hypothesis that the percentage of
households with more than 1households with more than 1
pet is greater than 65 %
when it is actually true.
B.
Fail to reject the...

Type I error is:
A. Deciding the alternative hypothesis is true
when it is false
B. Deciding the alternative hypothesis is true
when it is true
C. Deciding the null hypothesis is true when it is
false
D. Deciding the null hypothesis is false when it
is true
E. All of the above
F. None of the above
Type II error is:
A. Deciding the null hypothesis is false when it
is true
B. Deciding the null hypothesis is true...

Conduct a test of the null hypothesis that the mean height for
all students in the Census at School database is equal to 155 cm vs
the alternative that the mean Height is greater than 155 cm. Use a
significance level of 0.05.
a. State the null and alternative hypotheses.
Ho: m = 155
Ha: m > 155
b. Provide the Statcrunch output table.
Hypothesis test results:
Variable
Sample Mean
Std. Err.
DF
T-Stat
P-value
Height
159.86
1.7311103
49
2.8074468...

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