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ljadalyn
07.04.2020 •
Mathematics
Decide whether the normal sampling distribution can be used. If it can be used, test the claim about the difference between two population proportions p 1p1 and p 2p2 at the given level of significance alphaα using the given sample statistics. Assume the sample statistics are from independent random samples. Claim: p 1p1equals=p 2p2, alphaαequals=0.100.10 Sample statistics: x 1x1equals=5959, n 1n1equals=171171 and x 2x2equals=3636, n 2n2equals=203203 Can a normal sampling distribution be used? No Yes
Identify the null and alternative hypotheses.
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Ответ:
Null Hypothesis,
:
or
Alternate Hypothesis,
:
or
Yes, normal sampling distribution can be used.
Step-by-step explanation:
We are given that the sample statistics are from independent random samples. Claim:
=
, alpha(α) = 0.10 Sample statistics:
=59,
=171 and
=36,
= 203
We have to test the claim about the difference between two population proportions
and
at the given level of significance alpha(α) using the given sample statistics.
Let
= population proportion of first group
SO, Null Hypothesis,
:
or
Alternate Hypothesis,
:
or
The test statistics that will be used here is Two-sample z proportion statistics;
T.S. =
~ N(0,1)
where,
=
= sample proportion of first group
So, Yes here normal sampling distribution can be used because the proportion test is approximately followed by a normal z distribution.
Ответ:
Hello!
(6a/8+3) + 7a/8 =
= 6a/11 + 7a/8 =
= 125/88 × a
Good luck! :)