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Answer:
A sample size of 474 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:
Based on previous evidence, you believe the population proportion is approximately 73%.
This means that
95% confidence level
So , z is the value of Z that has a p-value of
, so
.
How large of a sample size is required?
A sample size of n is required, and n is found when M = 0.04. So
Rounding up:
A sample size of 474 is required.
Using the cosine ratio formula, the length of RQ to the nearest tenth is: 13.2.
<h3>What is the Cosine Ratio Formula?</h3>The cosine ratio formula is given as, cos ∅ = length of adjacent side / length of hypotenuse.
Find m∠PRT in ΔPRT using the cosine ratio formula:
cos(m∠PRT) = 15/17
m∠PRT = cos^(-1)(15/17)
m∠PRT ≈ 28.07°
Find RQ in ΔPRQ using the cosine ratio formula:
cos(28.07) = RQ/15
RQ = cos(28.07) × 15
RQ ≈ 13.2
Learn more about the cosine ratio formula on:
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