Answer:
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Step-by-step explanation:
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A group of 125 teenagers were asked which of the following activities they would most likely choose to spend their free time doi
ng: reading a book, watching television, playing video games, or listening to music. The results are displayed in the circle graph below.
What is the central angle measure of the section representing those teenagers who prefer to play video games?
What is the central angle measure of the section representing those teenagers who prefer to play video games?
2 answers:
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Answer:
A sample size of 554 is needed.
Step-by-step explanation:
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of .
That is z with a pvalue of , so Z = 1.96.
Now, find the margin of error M as such
In which is the standard deviation of the population and n is the size of the sample.
Standard deviation is known to be $12,000
This means that
What sample size do you need to have a margin of error equal to $1000, with 95% confidence?
This is n for which M = 1000. So
Dividing both sides by 1000:
Rounding up:
A sample size of 554 is needed.