Question

Consider the following hypothesis test: H0: p .8 Ha: p > .8 A sample of 500...

Consider the following hypothesis test:

H0: p .8
Ha: p > .8

A sample of 500 provided a sample proportion of .853.

16. Determine the standard error of the proportion.

17. Compute the value of the test statistic.

18. Determine the p-value; and at a 5% level, test the above the hypotheses.

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Answer #1

16. Standard error of proportion

= 0.0179

17. Test statistic

z = 2.96

18. This is a right tailed test so:

p - Value = P(z > 2.96) = 0.0015

Since p - value is less than 0.05, we reject the null hypothesis and conclude that p > 0.8

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