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:
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Step-by-step explanation:
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The model suggests the equation 3x-4 = 6-2x and the solution is x = 2.
What is equation?
In arithmetic, associate equation could be a formula that expresses the equality of 2 expressions, by connecting them with the sign =
Main body:
According to question,
there are 3 bars for x and 2 bars for -x so it shows
The equation becomes :
3x - 4 = 6-2x
5x = 10
x =2
Hence the solution to this equation is 2.
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Answer:
Explanation:
The row for month 25 shows that after <em>twenty-five payments</em> <u>the balance of the loan is $10,356.03</u>
You are told that the<em> loan amount or principal is $ 19,900</em>.
From those two data, you can calculate <em>how much of the principal has been paid off after </em>25 months, because the amount paid off is equal to the loan less the balance after 25 payments:
- Principal paid off = $ 19,900 - $ 10,356.03 = $9,543.97
