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:
25.5 days
Step-by-step explanation:
Mean number of days (μ) = 22 days
Standard deviation (σ) = 6 days
Z-score for the 72nd percentile (according to tabulated values) = 0.583
The z-score for any number of days, X, is determined by:
The value of X that is greater than 72% of the trial times is:
Therefore, 72% of all of these types of trials are completed within 25.5 days.
Answer:
1/0.4=10/4=5/2...............
Simple. first make sure there are common denominators. There is, thus, you can now subtract.
11/12-2/12.
11-2=9
and you don't subtract denominators.
Then, 9/12
you can simplify even more by dividing both the numerator and denominator by 3. So 9/3=3 and 12/3=4
So, in simplest form, your answer is 3/4.