Question Details

Determine the standard error of the proportion 



1.	Consider the following hypothesis test:

Ho:    38
Ha:  > 38

You are given the following information obtained from a random sample of six observations. Assume the population has a normal distribution.

X
38
40
42
32
46
42

a.	Compute the mean of the sample
b.	Determine the standard deviation of the sample.
c.	Determine the standard error of the mean.
d.	Compute the value of the test statistic.
e.	At 95% confidence using the p-value approach, test the above hypotheses.


2.	Consider the following hypothesis test:

Ho: P   0.8
Ha: P > 0.8

A sample of 400 provided a sample proportion of 0.853.

a.	Determine the standard error of the proportion .
b.	Compute the value of the test statistic.
c.	Determine the p-value; and at 95% confidence, test the above hypotheses.




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