Using the <u>normal distribution and the central limit theorem</u>, it is found that there is a 0.0166 = 1.66% probability of a sample proportion of 0.59 or less.
In a normal distribution with mean
and standard deviation
, the z-score of a measure X is given by:
- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
- By the Central Limit Theorem, the sampling distribution of sampling proportions of a proportion p in a sample of size n has mean
and standard error 
In this problem:
- 1,190 adults were asked, hence

- In fact 62% of all adults favor balancing the budget over cutting taxes, hence
.
The mean and the standard error are given by:


The probability of a sample proportion of 0.59 or less is the <u>p-value of Z when X = 0.59</u>, hence:

By the Central Limit Theorem



has a p-value of 0.0166.
0.0166 = 1.66% probability of a sample proportion of 0.59 or less.
You can learn more about the <u>normal distribution and the central limit theorem</u> at brainly.com/question/24663213
Answer: 11 months
Step-by-step explanation:
Let the number of months that it will take him to reach his goal be represented by x.
Based on the information given in the question, this can be formed into an equation as:
8 + 4x = 52
4x = 52 - 8
4x = 44
x = 44/4
x = 11
It will take 11 months to reach the goal
$1.32 per bottle because you would divide $5.28 into 4 and get $1.32
Answer:
4th option
Step-by-step explanation:
She purchased a DVD for $28.
$50 - $28 = $22
1. 22 < 22
2. 22 > 22
3. 22 < 78
4. 22 > 78
I would say it would be the 4th option because she can only spend less than 78.
I can be very incorrect though, don't depend on me that much. Just make sure to think about my answer and what you would answer.
Answer:
16 cups.
Step-by-step explanation:
A cup is 8 ounces, and a gallon is 128 ounces.