Answer:
The statement that "the margin of error was given as 
percentage points" means that the population proportion is estimated to be with a certain level of confidence, within the interval 
; where ![\hat{p}[tex] is the sample's proportion. The correct answer is C. The statement indicates that the interval [tex]0.14\pm0.05](https://tex.z-dn.net/?f=%5Chat%7Bp%7D%5Btex%5D%20is%20the%20sample%27s%20proportion.%3C%2Fp%3E%3Cp%3E%20%3C%2Fp%3E%3Cp%3EThe%20correct%20answer%20is%20C.%20The%20statement%20indicates%20that%20the%20interval%20%5Btex%5D0.14%5Cpm0.05)
is likely to contain the true population percentage of people that prefer chocolate pie.
Step-by-step explanation:
The margin of error for proportions is given by the following formula:
Where:
is the critical value that corresponds to the confidence level; the confidence level being 
,
is the sample's proportion of successes,
is the size of the sample.
In this exercise we have that 
and that the margin of error is 0.05.
Therefore if we replace in the formula to calculate the confidence interval we get:
Which means that the true population proportion is estimated to be, with a certain confidence level, within the interval (0.09, 0.19).
Answer:
The measure of the arc PJ is 
Step-by-step explanation:
step 1
Find the measure of angle L
we know that
In a inscribed quadrilateral opposite angles are supplementary
so
we have
substitute
step 2
Find the measure of arc KJ
we know that
The inscribed angle measures half that of the arc comprising
so
substitute the values
step 3
Find the measure of arc PJ
we know that
The inscribed angle measures half that of the arc comprising
so
substitute the values
Answer:
1996
Step-by-step explanation:
To find the number of terms in an arithmetic sequence, divide the common difference into the difference between the last and first terms, and then add 1.
2008 - 13 = 1995 + 1 = 1996
A standard cube has 6 possible outcomes. But since we want to find P(4+ or odd), the outcomes become more narrow.
So:
6 outcomes -> 1, 2, 3, 4, 5, 6
But we want to find 4+
So:
4+ = 4, 5, 6
We also want to find all odd possibilities.
So:
odd = 1, 3, 5
As you can see, there is a 5 in both the 4+ and the odd numbers so 5 will only be counted once.
P(4+ or odd) = 1, 3, 4, 5, 6
So the probability of having an outcome that is P(4+ or odd) is:
5/6 or 0.8333 or 83.33%
Hope I helped!
Answer:
This is 0.14 to the nearest hundredth
Step-by-step explanation:
Firstly we list the parameters;
Drive to school = 40
Take the bus = 50
Walk = 10
Sophomore = 30
Junior = 35
Senior = 35
Total number of students in sample is 100
Let W be the event that a student walked to school
So P(w) = 10/100 = 0.1
Let S be the event that a student is a senior
P(S) = 35/100 = 0.35
The probability we want to calculate can be said to be;
Probability that a student walked to school given that he is a senior
This can be represented and calculated as follows;
P( w| s) = P( w n s) / P(s)
w n s is the probability that a student walked to school and he is a senior
We need to know the number of seniors who walked to school
From the table, this is 5/100 = 0.05
So the Conditional probability is as follows;
P(W | S ) = 0.05/0.35 = 0.1429
To the nearest hundredth, that is 0.14
