A sample of 30 11th graders were asked to select a favorite pattern out of 6 choices. The following display shows what their fav
orite color patterns were.The counts have been recorded in the accompanying table according to pattern and the number of students who selected that pattern. These data can be graphically displayed by a bar graph. Which graph below correctly displays the data from the list and the table? A. Graph A B. Graph B C. Graph C D. Graph D
2 answers:
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Answer:
The 99% confidence interval for the proportion of all students at this school who have their names written on their graphing calculators is (0.4652, 0.8148).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of .
A random sample of 50 students is selected, and of the students questioned, 32 had their names written on their graphing calculators.
This means that
99% confidence level
So , z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:
The upper limit of this interval is:
The 99% confidence interval for the proportion of all students at this school who have their names written on their graphing calculators is (0.4652, 0.8148).