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:
p = -6.5
Step-by-step explanation:
<u>Given:</u>
<u>Solving for p:</u>
- 18+ 2 (3p – 8) = –37
- 18 + 6p - 16 = -37
- 6p + 2 = -37
- 6p = -37 - 2
- 6p = -39
- p = -39/6
- p = -6.5
Option 2 is correct in the list
Answer: -5x+y=6
Step-by-step explanation:
Given
Points on line 
The standard form of an equation is 
Using the two-point form of a line
