Suppose that you are testing the hypotheses
Upper H0: p=0.33 vs. HA: p>0.33
A sample of size150 results in a sample proportion of 0.39
a) Construct a 99% confidence interval for p.
b) Based on the confidence interval, can you reject H0 at αequals=0.005?Explain.
c) What is the difference between the standard error and standard deviation of the sample proportion?
d) Which is used in computing the confidence interval?
Sample size, n = 150
Sample proportion,
= 0.39
Null and alternative hypothesis:
H0: p=0.33 vs. HA: p>0.33
a) At
= 0.01, critical
value,
=
2.576
99% confidence interval for p



b) No, we cannot reject H0. As the value 0.33 is included in the confidence interval.
c) The standard error is based on the sample proportion
, while the
standard deviation is based on the hypothesized proportion p.
d) Standard error is used in computing the confidence interval
Suppose that you are testing the hypotheses Upper H0: p=0.33 vs. HA: p>0.33 A sample of...
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