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Romashka [77]
3 years ago
14

Give a correct interpretation of a 99% confidence level of 0.102 < p < 0.236.

Mathematics
2 answers:
lord [1]3 years ago
4 0
We are 99% confident that the interval from 0.102 to 0.236 actually does contain the true value of the population proportion <span>p.</span>
Musya8 [376]3 years ago
3 0

Answer:


Step-by-step explanation:

Given that there is a confidence interval with lower limit =0.102 and upper limit = 0.236 for p.

Here p is the sample proportion.  

Mean of p = average of lower and upper bound = \frac{0.102+0.236}{2} =0.169

Average proportion expected is 0.169

And it can have margin of error as + or - 0.067

THus interpretation is the sample proportion will have a point estimate of 0.169 and we are 99% confident, when sample sizes increase and samples are randomly drawn, the proportion of the samples would fall within the values (0.102, 0.236)

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over a period of ten years Pats income rose from 15000 to 20000 round to the nearest whole number by what percentage did her inc
ludmilkaskok [199]
Original Income = 15,000
New income = 20,000

The percentage Increase in the income can be calculated as:

\frac{Change}{Original} * 100%

The change in income = 20000 - 15000 = 5000

Using the values, we get:

\frac{5000}{15000}*100%

= 33.33%

This means, Pats income increased by 33.33% in a period of ten years
5 0
4 years ago
What is the y-intercept of the exponential function? f(x)=−32(2)x−3+3 Enter your answer in the box.
Bogdan [553]

y-intercept for x = 0.

Substitute x = 0 to the equation of the function:

f(x)=-32(2)^{x-3}+3\\\\f(0)=-32(2)^{0-3}+3=-32(2)^{-3}+3=-32\cdot\dfrac{1}{2^3}+3=-32\cdot\dfrac{1}{8}+3\\\\=-4+3=-1\\\\Answer:\ \boxed{y-intercept=-1\to(0,\ -1)}

6 0
3 years ago
Read 2 more answers
Given the equation 4x2 − 8x + 20 = 0, what are the values of h and k when the equation is written in vertex form a(x − h)2 + k =
GenaCL600 [577]

Answer:

The correct option is:

h = 1, k = 16

Step-by-step explanation:

y=4x^2-8x+20 =0

It is a quadratic formula in standard form:

ax^2+bx+c

where a = 4 , b = -8 and c=20

The vertex form is:

a(x − h)2 + k = 0

h is the axis of symmetry and (h,k) is the vertex.

Calculate h according to the following formula:

h = -b/2a

h= -(-8)/2(4)

h = 8/8

h = 1

Substitute k for y and insert the value of h for x in the standard form:

ax^2+bx+c

k = 4(1)^2+(-8)(1)+20

k = 4-8+20

k=-4+20

k = 16

Thus the correct option is h=1, k=16....

8 0
3 years ago
Convert 3/5 into a percent
andrezito [222]
Divide it and get 0.6 then multiply by 100 so 60%
4 0
3 years ago
Read 2 more answers
What is the quotient when root 1500 is divided by 2 root 15
joja [24]

Answer:

Answer is (√1500) /(2√15 )= 5

Step-by-step explanation:

8 0
3 years ago
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