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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Answer:
x=23,y=15
Step-by-step explanation:
take away 8 from 38, divide it by 2, you get 15. add 8 to one of the set of two 15s. you get 23 and 15
Answer:
(X+Y+3)(X+Y-4)
= X^2+XY-4X+XY+Y^2_4Y+3X+3Y-12
=X^2+Y^2+2XY-X-Y-12
Step-by-step explanation:
My teacher taught me rise over run. So, line A goes up one and to the side 4. That makes the slope 1/4. It's positive when the line goes up as you look to the right. C is a positive slope of 2. And D is - 2/3. Other than those two, you did a really good job!