Discuss how to use a 95 confidence interval to check if is d

Discuss how to use a 95% confidence interval to check if is different from 50% (explain clearly), how to reduced non-sampling errors (margin of error).

Solution

Find the confidence interval for the proportion using the formula

Check whether the confidence interval includes 0.5. if the confidence interval includes 0.5, it can be concluded that the population proportion is 0.5

If the confidence interval does not include 0.5, it can be concluded that the proportion is different from 0.5

For example, if the confidence interval is (0.4, 0.7), this interval includes 0.5 indicating that the proportion is 0.5. suppose the confidence interval is (0.6, 0.8), which does not include 0.5, it can be concluded that the proportion is different from 0.5

The sampling errors can be reduced by 1) increasing the sample size, 2)decreasing the standard deviation 3)decreasing the confidence level