There is a margin of error on a food survey of +/– 5%. What is the range of the number of students who do not want hot dogs if 8
1 answer:
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The value of the probability P(multiple of 3) is 0.3333
<h3>How to determine the probability?</h3>The spinner that completes the question is added as an attachment
From the attached spinner, we have:
- Total section = 12
- Multiples of 3 = 4
The probability is then calculated as:
P(multiple of 3) = Multiples of 3/Total
This gives
P(multiple of 3) = 4/12
Evaluate
P(multiple of 3) = 0.3333
Hence, the value of the probability is 0.3333
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Answer:
n=350
Step-by-step explanation:
Notation and definitions
random sample taken (variable of interest)
estimated proportion (value assumed)
true population proportion
Confidence =0.95 or 95% (value assumed)
Me=0.05 (value assumed)
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".
The population proportion have the following distribution
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by and
. And the critical value would be given by:
The margin of error for the proportion interval is given by this formula:
(a)
And on this case we have that and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
And replacing into equation (b) the values from part a we got:
And rounded up we have that n=350
Answer:
Step-by-step explanation:
we know that
The measurement of the external angle is the semi-difference of the arcs which comprises
In this problem
m∠RPS= ------> external angle
so
m∠RPS=
we have
m∠RPS=
substitute the values
Solve for arc RS