PLEASE HELP I USED ALL MY POINTS
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Answer:
So on this case the 90% confidence interval would be given by (45.39;62.61)
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
represent the sample mean
population mean (variable of interest)
represent the sample standard deviation
n=16 represent the sample size
Solution to the problem
The confidence interval for the mean is given by the following formula:
(1)
Since the Confidence is 0.90 or 90%, the value of and
, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that
Now we have everything in order to replace into formula (1):
So on this case the 90% confidence interval would be given by (45.39;62.61)
The parameter of interest in this scenario is the proportion of all 1,000 students within the school who have "strict" parents or guardians.
<h3>How to calculate a test statistic?</h3>In Mathematics, the test statistics of a given sample is calculated by using this formula:
<u>Where:</u>
- x is the sample mean.
- u is the mean.
- is the standard deviation.
- n is the sample size.
In conclusion, a possible test statistic which can be used to estimate this parameter is the proportion of all students who have "strict" parents or guardians, based on the collected sample.
Read more on test statistic here: brainly.com/question/4621112
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