Starting time2:15am elpsed time45minutes show me on a number line and give me the answer
1 answer:
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Answer:
A sample of 16577 is required.
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 z-score that has a p-value of .
The margin of error is of:
99% confidence level
So , z is the value of Z that has a p-value of
, so
.
She wants to estimate the proportion using a 99% confidence interval with a margin of error of at most 0.01. How large a sample size would be required?
We have no estimation for the proportion, and thus we use , which is when the largest sample size will be needed.
The sample size is n for which M = 0.01. So
Rounding up:
A sample of 16577 is required.
a. She used 1/10 of the spinach for a salad.
b. She used 1/2 pound of spinach for the salad.
We can solve each part of this problem by using a "fraction strip". The strip helps show a breakdown of what portion of spinach was used for each the party, family, and salad. See the attached image for a step by step example of how to multiply the fractions to find the correct portions.
b. She used 1/2 pound of spinach for the salad.
We can solve each part of this problem by using a "fraction strip". The strip helps show a breakdown of what portion of spinach was used for each the party, family, and salad. See the attached image for a step by step example of how to multiply the fractions to find the correct portions.