Question

The following steps explain how to do a Hypothesis Test.

- Step 1: Specify the Null Hypothesis. ...
- Step 2: Specify the Alternative Hypothesis. ...
- Step 3: Set the Significance Level α
- Step 4: Calculate the Test Statistic and Corresponding P-Value. ...
- Step 5 If the P-Value < α
- We reject the null hypothesis

Let us assume that a dealer claims the gas mileage of a specific model of a car is greater than 25 miles per gallon.

What is the null and alternative hypothesis?

If you decide your level of confidence is 0.9 and the p value is 0.05 what is your decision?

Answer #1

#1.
a. You do a hypothesis test and reject the null hypothesis at
the α = .05 level. What can you say about p? Hint: Your answer
should be an inequality.
b.Can you tell from this information whether you would reject at
the α = .10 level? Explain.
c. Can you tell from this information whether you would reject
at the α = .01 level? Explain.
#2
a You do a hypothesis test and fail to reject the null
hypothesis...

Place the steps of conducting a correlation hypothesis test in
order.
Match each step on the left with the procedure at that step on the
right.
Step
-abcdefg 1
-abcdefg 2
-abcdefg 3
-abcdefg 4
-abcdefg 5
-abcdefg 6
-abcdefg 7
Todo
compare the absolute value of the test statistic to the
critical value
write null and alternative hypotheses
find the value of r (correlation coefficient) from your
calculator
find the critical value from the table
conclude there is a...

Place the steps of conducting a correlation hypothesis test in
order.
Match each step on the left with the procedure at that step on the
right.
Step
-abcdefg 1
-abcdefg 2
-abcdefg 3
-abcdefg 4
-abcdefg 5
-abcdefg 6
-abcdefg 7
Todo
select a significance level alpha
find the value of r (correlation coefficient) from your
calculator
conclude there is a linear correlation or not sufficient
evidence to conclude there is a linear correlation
write null and alternative hypotheses
compare...

A car salesperson claims that the mean gas mileage for its
luxury sedan is at least 25 miles per gallon (mpg). A random
sample of 30 cars has a mean gas mileage of 24 mpg and a (sample)
standard deviation of 3.5 mpg.
a) State the null and alternative
hypotheses.
b) Determine the P-Value
c) State the outcome of the test at α =
0.05

Identify the null hypothesis, alternative hypothesis, test
statistic, P-value, conclusion about the null hypothesis, and final
conclusion that addresses the original claim. Test the claim that
the mean lifetime of car engines of a particular type is greater
than 220,000 miles. Sample data are summarized as n = 23, ?̅ =
226,450 miles, and s = 11,500 miles. Use a significance level of ?
= 0.01.

An automobile manufacturer has given its car a 31.131.1
miles/gallon (MPG) rating. An independent testing firm has been
contracted to test the actual MPG for this car since it is believed
that the car performs over the manufacturer's MPG rating. After
testing 110110 cars, they found a mean MPG of 31.331.3. Assume the
population variance is known to be 3.613.61. Is there sufficient
evidence at the 0.10.1 level to support the testing firm's
claim?
Step 1 of 6:
State the...

Perform a hypothesis for the null and alternative
hypotheses:
??:?? =? ??:?? <?
The following is the sample information.
?̅=?.? ?? =?.? ?=?? ?=?.??
a. (1 point) Calculate the appropriate test statistic, p-value,
and give a general conclusion of reject or fail to reject the null
hypothesis based on the significance level. Show all work
b. (1 point) Now suppose you know ?? = 1.2. Calculate the
appropriate test statistic, p-value and give a general conclusion
of reject or fail...

1.
(CO 7) A travel analyst claims that the mean room rates at a
three-star hotel in Chicago is greater than $152. In a random
sample of 36 three-star hotel rooms in Chicago, the mean room rate
is $163 with a standard deviation of $41. At α=0.10, what type of
test is this and can you support the analyst’s claim using the
p-value?
Claim is the alternative, fail to reject the null as p-value
(0.054) is less than alpha (0.10),...

A credit reporting agency claims that the mean credit card debt
in a town is greater than $3500. A random sample of the credit card
debt of 20 residents in that town has a mean credit card debt of
$3619 and a standard deviation of $391. At α=0.10, can the credit
agency’s claim be supported?
Yes, since p-value of 0.19 is greater than 0.10, fail to reject
the null. Claim is null, so is supported
No, since p-value of 0.09...

Suppose that in a certain hypothesis test the null hypothesis is
rejected at the .10 level; it is also rejected at the .05 level;
however it cannot be rejected at the .01 level. The most accurate
statement that can be made about the p-value for this test is
that:
p-value = 0.01.
p-value = 0.10.
0.01 < p-value < 0.05.
0.05 < p-value < 0.10.
Complete the sentence: If we do not reject the null hypothesis,
we conclude that _____....

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