1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Shalnov [3]
3 years ago
10

Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final c

onclusion that addresses the original claim. In a sample of 167 children selected randomly from one town, it is found that 37 of them suffer from asthma. At the 0.05 significance level, test the claim that the proportion of all children in the town who suffer from asthma is 11%.
Mathematics
1 answer:
Black_prince [1.1K]3 years ago
4 0

Answer:

<em>The test statistic value Z = 4.64 > 1.96 at 0.05 level of significance</em>

<em>Null hypothesis is rejected </em>

<em>Alternative hypothesis is accepted</em>

<em>Test the claim that the proportion of all children in the town who suffer not from asthma is 11%</em>

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given sample size 'n' = 167

Given data In a sample of 167 children selected randomly from one town, it is found that 37 of them suffer from asthma.

<em>Sample proportion </em>

                    p^{-}  = \frac{x}{n} = \frac{37}{167} = 0.2215

<em>Given Population proportion 'P'</em> = 11% = 0.11

<u><em>Step(ii) </em></u>:-

<em>Null Hypothesis : H₀ : p = 11</em>

<em>Alternative Hypothesis H₁: p≠11</em>

<u><em>Test statistic</em></u>

               Z = \frac{p^{-} -P }{\sqrt{\frac{P Q}{n} } }

              Z = \frac{0.2215 -0.11 }{\sqrt{\frac{0.11 X 0.89}{167} } }

             Z =   4.64

<u><em>step(iii)</em></u>

<em> Critical value Z = 1.96 </em>

<em>The calculated value Z = 4.64 > 1.96 at 0.05 level of significance</em>

<em>Null hypothesis is rejected </em>

<em>Alternative hypothesis is accepted</em>

<u><em>Conclusion:-</em></u>

<em>Test the claim that the proportion of all children in the town who suffer not from asthma is 11%</em>

You might be interested in
There are 850 employees at a software company. The company’s CEO was interested in finding out if his employees prefer the new c
Fiesta28 [93]

Answer:

Hence the best estimate is population with correct option is 74% and

the value for x=148

Step-by-step explanation:

Given:

A sample of 200

Of which 148 prefer brand new coffee

To Find:

Which statement  is true?

Solution:

n=200

x=148

remaining 52 prefer old ones .

So  estimate population proportion,

p=x/n

p=148/200

p=0.74

p=74 %

Now, when x=52

p=x/n,

p=52/200

p=0.26

p=26%

There is no option for 52 and 24 %

Hence x=148 and p=74%.

8 0
3 years ago
Read 2 more answers
Can someone help me with this? I need to find the points of discontinuity/limits for each of these. I think one point is 4, but
Debora [2.8K]
The answers are shown in the attached image

-------------------------------------------------------------------------

Explanation:

Set the denominator x^4-8x^3+16x^2 equal to zero and solve for x

x^4-8x^3+16x^2 = 0
x^2(x^2-8x+16) = 0
x^2(x-4)^2 = 0
x^2 = 0 or (x-4)^2 = 0
x = 0 or x-4 = 0
x = 0 or x = 4

The x values 0 and 4 make the denominator zero

These x values lead to asymptote discontinuities because the numerator 8x-24 = 8(x-3) has no common factors which cancel with the denominator factors.

There are two vertical asymptotes

Let's see what happens when we plug in a value to the left of x = 0, say x = -1, we'd get
f(x) = (8x-24)/(x^4-8x^3+16x^2)
f(-1) = (8(-1)-24)/((-1)^4-8(-1)^3+16(-1)^2)
f(-1) = -1.28
So as x gets closer and closer to x = 0 from the left side, the f(x) is heading to negative infinity

Now plug in some value to the right of x = 0. I'm going to pick x = 1
f(x) = (8x-24)/(x^4-8x^3+16x^2)
f(1) = (8(1)-24)/((1)^4-8(1)^3+16(1)^2)
f(1) = -1.78 (approximate)
So as x gets closer and closer to x = 0 from the right side, the f(x) is heading to negative infinity

Overall, as x approaches 0 from either the left or right side of x = 0, the y value is heading off to negative infinity

---------------------

Repeat for values to the left and right of x = 4
We can't use x = 1 as it turns out that x = 3 is a root
But we can use something like x = 3.5 to find that...
f(x) = (8x-24)/(x^4-8x^3+16x^2)
f(3.5) = (8(3.5)-24)/((3.5)^4-8(3.5)^3+16(3.5)^2)
f(3.5) = 1.31 approx
So as x gets closer to x = 4 from the left, y is getting closer to positive infinity

Plug in x = 5 to find that
f(x) = (8x-24)/(x^4-8x^3+16x^2)
f(5) = (8(5)-24)/((5)^4-8(5)^3+16(5)^2)
f(5) = 0.64
which has the same behavior as the left side

So overall, as we approach x = 4, the y value is heading off to positive infinity

Again everything is summarized in the image attachment

Note: you could make a table of more values but they would effectively say what has already been said. It would be redundant busy work. However, its always good practice for function evaluation. 

6 0
3 years ago
For each value of y, determine whether it is a solution to 12 = 2y +8.<br> Is it a solution
grin007 [14]

Answer: 2(0) + 8 does not equal 12, not a solution.

2(2) +8 = 12 yes it is a solution

2(-3) + 8 does not equal 12, not a solution

2(5) + 8 does not equal 12, not a solution.

Step-by-step explanation:

Looks like you need to plug in each y value given and multiplied by 2 and add 8

2(0) + 8 does not equal 12, not a solution.

2(2) +8 = 12 yes it is a solution

2(-3) + 8 does not equal 12, not a solution

2(5) + 8 does not equal 12, not a solution.

3 0
3 years ago
My daughter is struggling with perimeter and composite figures. Is this the right area to seek assistance.
RideAnS [48]

Answer: Yes absolutely I come here for help alot and the answers are well thought out the majority for the time, I'd love to help if you want

Step-by-step explanation:

5 0
2 years ago
A motorcycle zoomed along the freeway, traveling 10 meters in 1/3 of a second . How fast was it going ?
Aleks04 [339]

Answer:

30m/sec

Step-by-step explanation:

v=s/t

given s= 10m

t=1/3 sec

v= 10/(1/3)=10×3/1= 30 m/s

8 0
3 years ago
Read 2 more answers
Other questions:
  • A car depreciate $2000 each year it was owned and driven. What type of depreciation is this?
    6·1 answer
  • On a particular day, the wind added 4 miles per hour to Jaime's rate when she was rowing with the wind and subtracted 4 miles pe
    7·1 answer
  • Judy hiked on two trails. The first trail was 5- 1/4 miles long, and the second trail was 1- 1/2 times longer than the first one
    10·1 answer
  • 2log8(9x)<br><br>HELP ME PLEASEEEE
    7·2 answers
  • What is the measure of what is the measure of (either 50,90,95, or 115)
    8·1 answer
  • What is the answer to this question 3x+7=4x
    12·2 answers
  • The life span of a battery is the amount of time the battery will last. The distribution of life span for a certain type of batt
    13·1 answer
  • Please help she wont go to the next aswer
    9·1 answer
  • Help help help ASAP math math
    5·2 answers
  • If Jamari pays $25 at the beginning of the month, he will pay only $5 per hour for using Vic Sporting facility. The information
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!