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Suppose that you are testing the hypotheses Upper H 0​: p=0.38 vs. Upper H Subscript Upper...

Suppose that you are testing the hypotheses Upper H 0​: p=0.38 vs. Upper H Subscript Upper A​: p>0.38. A sample of size 250 results in a sample proportion of 0.45.

​a) Construct a 99​% confidence interval for p. (__,__)

​b) Determine the conclusion for the hypothesis test based on the confidence interval.

Since the confidence interval

▼

does

does not

contain the null hypothesis​ value,

▼

reject

fail to reject

the null hypothesis at

alphaαequals=0.005.

​c) What is the difference between the standard error and standard deviation of the sample​ proportion?

A.The standard error is based on the sample​ proportion,

ModifyingAbove p with caretp​,

while the standard deviation is based on the hypothesized​ proportion,

p 0p0.

B.The standard error is based on the sample​ proportion,

p 0p0​,

while the standard deviation is based on the hypothesized​ proportion,

ModifyingAbove p with caretp.

C.The standard error is based on the hypothesized​ proportion,

p 0p0​,

while the standard deviation is based on the sample​ proportion,

ModifyingAbove p with caretp.

D.The standard error is based on the hypothesized​ proportion,

ModifyingAbove p with caretp​,

while the standard deviation is based on the sample​ proportion,

p 0p0.

​d) Which value is used in computing the confidence​ interval, the standard error of the sample proportion or the standard deviation of the sample​ proportion?

the standard error

the standard deviation

math   Statistics-And-Probability   
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Answer #1

VS Answer! The null and alternative hypotheses are boue Ho: p=0.38 HO! P >0.38 Given that a sample of size n=250 results in a0.45 + 2.326X 0.38x0.62 250 M 0.45+ 2.3 26 X 0.030698) 10.3786, 0,5214) = (0.45 0.0714) 11 (6) since the confidence interval

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