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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The answer is <span>10 units
</span>
The diameter of the cylinder (d) is the twice of its radius (r): d = 2r
The volume (V) of the cylinder with radius r and height h is:
V = π r² h
We have:
d = 2r
r = ?
h = 7
π = 3.14
V = 175π
175π = π * r² * 7
175 = r² * 7
r² = 175/7
r² = 25
r = √25
r = 5
d = 2r
d = 2 * 5
d = 10
Answer:
lynne is 7 and tobbe is 11
(18/2)+2=x
x-4=y
Step-by-step explanation:
<h2>
Answer:</h2><h2>The expressions that can be subtracted from 9x to result in the expression 3x+5 is 6x - 5</h2>
Step-by-step explanation:
To find the expression that can be subtracted from 9x to result in the expression 3x+5.
Let us consider the expression, a - b = c
Here a = 9x
the result, c = 3x + 5
b = ?
Substitute the values in the above equation, we get
9x - b = 3x + 5
9x - (3x + 5) = b
b = 6x - 5
Use the cosine function.
cos x = 2/12
cos x = 0.167
use the inverse of cosine:
x = 80.405
The answer is C.
Hope this helps :)
