identify the parameter and ample. statistic qu metho Assumptions are met/discuss
ID: 3234117 • Letter: I
Question
identify the parameter and ample. statistic qu metho Assumptions are met/discussed (20 points) YO hd o The assumptions regarding normality are met. o All the pre-requisites for confidence intervals and hypothesis a Checked Any condition which is not met must be identified and the likely i meeting the condition must be discussed. Ha A Confidence intervals done well (20 points) o You must create appropriate confidence intervals for your data. o You must write out appropriate sentences describing the results. What is the statistical meaning of your confidence interyals? What is the practical significance of your confidence intervals pothesis tests done well (20 points) o You must create appropriate hypothesis tests for your data. o You must write out appropriate sentences describing the results. What is the statistical meaning of your hypothesis tests? What is the practical significance of your hypothesis tests? o Hypothesis tests must agree with confidence intervals. r regression done well (20 points) You must conduct a linear regression to determine the line-of-be regression line) You must write out appropriate sentences describing the resultsExplanation / Answer
The formula of confidence interval is :
p^ - Z * SE , P^ + Z * SE
.
We got :
P^ = 0.3667
n = 30
Z for 95% confidence interval is 1.96
.
SE = (P^*(1-p^)/n)
SE = 0.3667*0.6333/30)
SE = 0.088
.
On pluggin gthe vlaues we get:
0.3667 - 1.96 * 0.088 , 0.3667 + 1.96 *0.088
0.19422 , 0.53918
.
Statistically it means there is 95% confidence that true proportion lies between 0.19422 and 0.53918
Practically meaning: If 100 samples are drawn then 95 of them will have the true proportion in the interval 0.19422 and 0.53918 , and remaining 5% of them will have the true proportion outside the interval
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