Question

95% Confidence Interval: 86.19 ± 0.364

(85.8 to 86.6)

"With 95% confidence the population mean is between 85.8 and 86.6, based on 33945 samples."

Short Styles:

86.19 (95% CI 85.8 to 86.6)

86.19, 95% CI [85.8, 86.6]

Margin of Error: 0.364

1. What is the impact of your margin of error on your findings? Explain.

2. Is there enough evidence to reject the null hypotheses, explain in plain English?

Answer 1

i) Margine of error is the difference between point estimate and the upper or lower end of the confidence interval. If sample size is very large then its obvious that margine error will be decreased. Here sample size is large and margine error 0.364.we see that this interval is giving us 95% assurance that population mean is between 85.8 and 86.6. A good margine error increases level of accuracy.Farley we can accept 1 to 10% margine of error.Here we got 36.4 % so its not good margine of error. We need to increase sample size to reduce this flaws.

ii) We can reject our null hypothesis only if p value is less than the level of significance and when the null hypothesis value does not lie between confidenceinter. if is the level if significance, 1- will the confidence interval. so here =0.05. But here we can not reject the null hypothesis. because population mean lies between in 95% confidence interval. So p value is greater than the level of significance so there is no enough evidence to reject the null hypothesis.