a. Construct the 95% confidence interval for the population proportion of successes. (Round intermediate calculations to at least 4 decimal places. Round "z" value and final answers to 3 decimal places.) b. Construct the 95% confidence interval for the population proportion of failures. (Round intermediate calculations to at least 4 decimal places. Round "z" value and final answers to 3 decimal places.)
A random sample of 100 observations results in 70 successes. [You may find it useful to reference the z table.]
a. Construct the 95% confidence interval for the population proportion of successes. (Round intermediate calculations to at least 4 decimal places. Round "z" value and final answers to 3 decimal places.)
b. Construct the 95% confidence interval for the population proportion of failures. (Round intermediate calculations to at least 4 decimal places. Round "z" value and final answers to 3 decimal places.)
a.
A random sample of 100 observations results in 70 successes. The population proportion of successes is,
The proportion of successes is 0.70.
Computation of critical value:
The critical value of z-distribution can be obtained using the excel formula “=NORM.S.INV(0.975)”. The critical value is 1.96.
The 95% confidence interval for the population proportion of successes is,
Thus, the 95% confidence interval for the population proportion of successes is .
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