3. For the following​ information, determine whether a normal sampling distribution can be​ used, where p is the population​ proportion, α is the level of​ significance, p is the sample​ proportion,...


3.




For the following​ information, determine whether a normal sampling distribution can be​ used, where p is the population​ proportion,
α

is the level of​ significance,
p

is the sample​ proportion, and n is the sample size. If it can be​ used, test the claim.


​Claim:
p≥0.34​;

α=0.08.

Sample​ statistics:
p=0.30​,

n=150










Question content area bottom



Part 1

Let
q=1−p

and let
q=1−p.

A normal sampling distribution



can





be used​ here, since



npnp






greater than or equals≥




5

and



nqnq






greater than or equals≥




5.


Part 2

If a normal sampling distribution can be​ used, identify the hypotheses for testing the claim. Select the correct choice below​ and, if​ necessary, fill in the answer boxes to complete your choice.








A.



H0​:

p=enter your response here

​,

Ha​:

p≠enter your response here


​(Round to two decimal places as​ needed.)






B.



H0​:

p

​,

Ha​:

p≥enter your response here


​(Round to two decimal places as​ needed.)






C.



H0​:

p≥0.34

0.34​,

Ha​:

p<>

0.34

​(Round to two decimal places as​ needed.)


Your answer is correct.




D.



H0​:

p>enter your response here

​,

Ha​:

p≤enter your response here


​(Round to two decimal places as​ needed.)






E.



H0​:

p≠enter your response here

​,

Ha​:

p=enter your response here


​(Round to two decimal places as​ needed.)






F.



H0​:

p≤enter your response here

​,

Ha​:

p>enter your response here


​(Round to two decimal places as​ needed.)






G.


A normal sampling distribution cannot be used.






Part 3

If a normal sampling distribution can be​ used, identify the critical​ value(s) for this test. Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.








A.



z0=enter your response here



​(Round to two decimal places as needed. Use a comma to separate answers as​ needed.)






B.


A normal sampling distribution cannot be used.







Jun 01, 2022
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