d) Z = 2.62 is the test-statistic for this hypothesis test. Use it to find the p-value. (Give the p-value to four decimal places) e) Will #. be rejected? (Include the numbers for your decision) n Write a conclusion in context. (This is the answer to the hypothesis test. Make sure it includes context.) g) Which type of error can the statistician have made in the correct conclusion of this hypothesis test? (This is not an error that can be avoided.) h) Can we state the probability with which this error will occur? If so, state the value.
d) Z = 2.62 is the test-statistic for this hypothesis test. Use it to find the p-value. (Give the p-value to four decimal places) e) Will #. be rejected? (Include the numbers for your decision) n Write a conclusion in context. (This is the answer to the hypothesis test. Make sure it includes context.) g) Which type of error can the statistician have made in the correct conclusion of this hypothesis test? (This is not an error that can be avoided.) h) Can we state the probability with which this error will occur? If so, state the value.
MATLAB: An Introduction with Applications
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Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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![d) Z = 2.62 is the test-statistic for this hypothesis test.
Use it to find the p-value.
(Give the p-value to four decimal places)
Will #. be rejected? (Include the numbers for your
decision)
) Write a conclusion in context. (This is the answer to
the hypothesis test. Make sure it includes context.)
g) Which type of error can the statistician have made in
the correct conclusion of this hypothesis test? (This is
not an error that can be avoided.)
h) Can we state the probability with which this error will
occur? If so, state the value.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Feec6d4ca-75c0-4b87-8b6c-fda4520f6f80%2Fdd5cfe8e-ce96-4cf1-b781-aa2ced06de5d%2Fcv3m47_processed.jpeg&w=3840&q=75)
Transcribed Image Text:d) Z = 2.62 is the test-statistic for this hypothesis test.
Use it to find the p-value.
(Give the p-value to four decimal places)
Will #. be rejected? (Include the numbers for your
decision)
) Write a conclusion in context. (This is the answer to
the hypothesis test. Make sure it includes context.)
g) Which type of error can the statistician have made in
the correct conclusion of this hypothesis test? (This is
not an error that can be avoided.)
h) Can we state the probability with which this error will
occur? If so, state the value.
![In the following two hypothesis test problems, the test
statistic (z-score) will be given. Following these is a
separate problem for which you will have to calculate
the z-score using the appropriate formula.
1. Swimming at local beaches is affected by the number of
bacteria in the water. Bacteria numbers are monitored by
taking water samples. In the summer, the mean number
of E.Coli bacteria in a water sample at local beaches has
usually been 97. The standard deviation is known to be
15. If this August 62 water samples from beaches
around Annapolis were analyzed and the mean number
of E. Coli bacteria found to be 102, does this mean that
summertime E. Coli bacteria levels have increased? Use
a significance level of 1% for this test. (Note: In part (d),
the test statistic (z-score) is GIVEN.)
a)
102
97
o =
15
n =
62
a =
0.01
b) Why is a hypothesis test based on the normal
distribution justified? (Explain. Don't be too brief
and use appropriate terminology.)
known therefore, the given
hypothesis test is based on normal distribution.
The standard deviation
c) State the hypotheses in symbols:
: H=102
: ">102](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Feec6d4ca-75c0-4b87-8b6c-fda4520f6f80%2Fdd5cfe8e-ce96-4cf1-b781-aa2ced06de5d%2Fyia8scp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:In the following two hypothesis test problems, the test
statistic (z-score) will be given. Following these is a
separate problem for which you will have to calculate
the z-score using the appropriate formula.
1. Swimming at local beaches is affected by the number of
bacteria in the water. Bacteria numbers are monitored by
taking water samples. In the summer, the mean number
of E.Coli bacteria in a water sample at local beaches has
usually been 97. The standard deviation is known to be
15. If this August 62 water samples from beaches
around Annapolis were analyzed and the mean number
of E. Coli bacteria found to be 102, does this mean that
summertime E. Coli bacteria levels have increased? Use
a significance level of 1% for this test. (Note: In part (d),
the test statistic (z-score) is GIVEN.)
a)
102
97
o =
15
n =
62
a =
0.01
b) Why is a hypothesis test based on the normal
distribution justified? (Explain. Don't be too brief
and use appropriate terminology.)
known therefore, the given
hypothesis test is based on normal distribution.
The standard deviation
c) State the hypotheses in symbols:
: H=102
: ">102
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