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:
Sharon
Step-by-step explanation:
The given parameters are;
The number of persons that rode on the small train = 5
The number of cars in the train = 5
The position Maren sat = Last car
The position Aaron sat = Directly behind Sharon
The position Darren sat = In one of the cars in front of Aaron
The position of one of the members = Between Karen and Darren
The given seating arrangement is as follows;
Maren → Aaron → Sharon → Darren → Karen
Therefore, the person who sat in the middle car is Sharon.
40x - 2 because you combine like terms so it's 40x and then combine 8 and -10
Answer:
7
Step-by-step explanation:
x2 + 5x - 7
sub x = 2 in
(2 X 2) + (5 X 2) - 7
4 + 10 - 7
= 7
Answer:
y=-6/5x+3.
Step-by-step explanation:
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