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:
F = $13,802.31
she can finance $13,802.31 with this loan.
Step-by-step explanation:
Given;
Rate r = 7% = 0.07
Time t = 4 years
Payment per month MP = $250
Number of months per year n = 12
This can be solved using compound interest for future value series formula;
F = future value
F = MP(((1 + r/n)^(nt) - 1)/(r/n))
Substituting the given values, we have;
F = $250(((1 + 0.07/12)^(12×4) - 1)/(0.07/12))
F = $13,802.31
Answer:
What two ratios can be used in the proportion?
8/3 and 18/x
What is the value of a missing measure?
6.75 in.
Step-by-step explanation:
im right trust me. im just cool like that.
distribution (if we are talking about algebraic properties)