2. Are the proportion of the engineering students who view their job prospects as good statistically different from the general college population (show work)
Qustion
An opinion poll of 100 college student at prestigious engineering school was accomplished on how they viewed their job prospects. 62% of the students said their prospects were good. The portion of good responses for college students in general was 58%
What percentage of times will the mean (population proportion) not be found within the confidence interval?
Confidence intervals may be calculated for any statistics, but the most common statistics for which CI's are computed are mean, proportion and standard deviation. I have include a link, which contains a worked out example for the confidence interval of a mean.
Why confidence interval is useful
The confidence interval becomes smaller.
no,these are not the same thing.The values at each end of the interval are called the confidence limits.
There is a 95% probability that the true population proportion lies within the confidence interval.
What percentage of times will the mean (population proportion) not be found within the confidence interval?
Confidence intervals may be calculated for any statistics, but the most common statistics for which CI's are computed are mean, proportion and standard deviation. I have include a link, which contains a worked out example for the confidence interval of a mean.
confidence interval estimate
Why confidence interval is useful
The confidence interval becomes wider.
how are alpha and confidence interval related
No. The width of the confidence interval depends on the confidence level. The width of the confidence interval increases as the degree of confidence demanded from the statistical test increases.
The confidence interval is not directly related to the mean.
The confidence interval becomes smaller.
Estimated p = 75 / 250 = 0.3 Variance of proportion = p*(1-p)/n = 0.3(0.7)/250 =0.00084 S.D. of p is sqrt[0.00084] = 0.029 Confidence interval: phat-zval*sd = 0.3 - (1.96)(0.028983) phat-zval*sd = 0.3 + (1.96)(0.028983) Confidence interval is ( 0.2432 , 0.3568 )
No, it is not. A 99% confidence interval would be wider. Best regards, NS