Using the z-distribution, the 95% confidence interval for the percentage of red candies is of (7.84%, 33.18%). Since 33% is part of the interval, there is not enough evidence to conclude that the claim is wrong.
<h3>What is a confidence interval of proportions?</h3>
A confidence interval of proportions is given by:
In which:
- is the sample proportion.
In this problem, we have a 95% confidence level, hence, z is the value of Z that has a p-value of , so the critical value is z = 1.96.
Researching this problem on the internet, 8 out of 39 candies are red, hence the sample size and the estimate are given by:
Hence the bounds of the interval are:
As a percentage, the 95% confidence interval for the percentage of red candies is of (7.84%, 33.18%). Since 33% is part of the interval, there is not enough evidence to conclude that the claim is wrong.
More can be learned about the z-distribution at brainly.com/question/25890103
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1/5 is greater because
10/50
20/100
15% is only 15/100
Answer:
x=4
y=3
Step-by-step explanation:
we have the following equations
3x+y=15 equation 1
5x-4y=8 equation 2
using equation 1 we have:
y=15-3x equation 3
using equation 3 in equation 2 we have:
5x-4(15-3x)=8
5x-4*15+4*3x =8
5x-60+12x = 8
17x=68
x=68/17
so we have x=4
finally in equation 3:
y = 15-3(4)
y = 15-12
y = 3
Answer:
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