Question

Think about the context of the claim.Determine whether you want to support or reject the claim.

a.State the null and alternative hypotheses in words.

b.Write the null and alternative hypotheses in appropriate symbols

c.Describe in words Type I error (the consequence of rejecting a true null hypothesis.)

d.Describe in words Type II error (the consequence of failing to reject a false null hypothesis.)

You represent a chemical company that is being sued for paint damage to automobiles. You want to support the claim that the mean repair cost per automobile is about $650. How would you write the null and alternative hypotheses?

Answer #1

a) The null hypothesis is that the population mean repair cost per automobile is about $650.

The alternate hypothesis is that the population mean repair cost per automobile is not $650.

b)

c) Type I error means that we have concluded that the mean repair cost is not $650 while it is true that the mean repair cost is $650

d) Type II error means that we have concluded that the mean repair cost is $650 while it is not true, the mean repair cost is not $650

You represent a chemical company that is being sued for
paint damage to automobiles. You want to support the claim that the
mean repair cost per automobile is more than $650. How would you
write the null and alternative hypotheses?
State the null and alternative hypotheses in words
(context of the problem)
Write the null and alternative hypotheses in appropriate
symbols (population parameters μ, σ or p)
Describe in words Type I error (the consequence of
rejecting a true null...

Interpreting a Decision In Exercises 43–48,
determine whether the claim represents the null hypothesis or the
alternative hypothesis. If a hypothesis test is performed, how
should you interpret a decision that
(a) rejects the null hypothesis?
(b) fails to reject the null hypothesis?
Writing Hypotheses: Backpack Manufacturer A backpack
manufacturer claims that the mean life of its competitor’s
backpacks is less than 5 years. You are asked to perform a
hypothesis test to test this claim. How would you write...

Determine whether the claim stated below represents the null
hypothesis or the alternative hypothesis. If a hypothesis test is
performed, how should you interpret a decision that (a) rejects
the null hypothesis or (b) fails to reject the null
hypothesis?
A researcher claims that the standard deviation of the life of a
certain type of lawn mower is less than 2.4 years
Does the claim represent the null hypothesis or the alternative
hypothesis?
Since the claim a) -------- a statement...

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

The National Cancer Institute conducted a 2-year study to
determine whether cancer death rates for areas
near nuclear power plants are higher than for
areas without nuclear facilities. A spokesperson
for the Cancer Institute said, "From the data at hand, there was no
convincing evidence of any increased risk of death from any of the
cancers surveyed due to living near nuclear
facilities.” (1 points for each)
Let p denote the proportion of the population in areas
near nuclear...

The National Cancer Institute conducted a 2-year study to
determine whether cancer death rates for areas
near nuclear power plants are higher than for
areas without nuclear facilities. A spokesperson
for the Cancer Institute said, "From the data at hand, there was no
convincing evidence of any increased risk of death from any of the
cancers surveyed due to living near nuclear
facilities.” (1 points for each)
Let p denote the proportion of the population in areas
near nuclear...

Which of the following statements about the null and the
alternative hypotheses is false?
1-You want to prove the alternative hypothesis.
2-The null and the alternative hypotheses should be
exhaustive.
3-You want to prove the null hypothesis.
4-Hypotheses can be directional or non-directional.

Determine whether the BEST, most common
interpretation of the given statement is:
TRUE - Select 1
FALSE - Select 2
Question 1 options:
1
Type II error is the probability of failing to reject H0 when it
is false.
2
In hypothesis testing, the ALTERNATIVE hypothesis states how the
parameter of interest differs from the null hypothesis value.
3
The p-value is determined by the ALTERNATIVE hypothesis.
4
The p-value is the probability the null hypothesis is true....

A researcher wants to support the claim that students
spend less than 7 hours per week doing homework. The sample size
for the test is 64 students. The drawing shown diagrams a
hypothesis test for population mean under the Null Hypothesis (top
drawing) and under the Alternative Hypothesis (bottom
drawing).
State the Null and Alternative Hypotheses.
What is the design probability associated with Type I
error?
What is the design probability associated with Type II
error?
What is the power...

You want to estimate the proportion of American voters who are
optimistic about the state of the economy. How large a sample would
be needed to ensure a 95% confidence level that the actual
population proportion of American voters will be no more than 3
percentage points from the sample proportion?(hint, no information
about ? ^)
(a) 1506
(b) 1068
(c) 3152
(d) 938
Suppose at the 90% confidence level we calculate a confidence
interval described by 23.8<?<26.2. Which of...

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