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-Dominant- [34]
3 years ago
11

In a randomized controlled trial in Kenya, insecticide treated bednets were tested as a way to reduce malaria. Among 343 infants

using bednets, 15 developed malaria. Among 294 infants not using bednets, 27 developed malaria. Want to use a 0.01 significance level to test the claim that the incidence of malaria is lower for infants using bednets. Find the test statistic
Mathematics
1 answer:
Dovator [93]3 years ago
4 0

Answer:

Step-by-step explanation:

Given that in a randomized controlled trial in Kenya, insecticide treated bednets were tested as a way to reduce malaria. Among 343 infants using bednets, 15 developed malaria. Among 294 infants not using bednets, 27 developed malaria.

H0: p1=p2

H1: p1 <p2

(one tailed test)

p1 = 15/343:p2 =27/294:

Difference 4.813 %

95% CI 0.9160% to 9.0217%

Chi-squared 5.947

DF  1

Significance level P = 0.0073

Since p <0.01 we reject null hypothesis.

You might be interested in
Complete the recursive formula of the geometric sequence 16\,,\,3.2\,,\,0.64\,,\,0.128,...16,3.2,0.64,0.128,
Nastasia [14]

Answer:

a_{n+1}=0.2a_n for all n>0, a_1=16

Step-by-step explanation:

Let \{a_n\}=\{16,3.2,0.64,0.128,\cdots \} be the sequence described.

A geometric sequence has the following property: there exists some r (the ratio of the sequence) such that \frac{a_{n+1}}{a_n}=r forr all n>0.

To find r, note that

\frac{3.2}{16}=\frac{32}{10(16)}=\frac{2}{10}=\frac{1}{5}=0.2

Similarly

\frac{0.64}{3.2}=\frac{64}{10(32)}=\frac{1}{5}=0.2

\frac{0.128}{0.64}=\frac{1}{5}=0.2

Thus a_{n+1}=r a_n=\frac{a_n}{5}=0.2a_n for all n>0, and a_1=16

3 0
3 years ago
P(t) = 250 * (3.04)^t/1.98,
Alex17521 [72]

Answer:

The concept which best describes the change of the population is the derivative of p(t)=250(3.04)^{\frac{t}{1.98}}.

Step-by-step explanation:

Observe that the function p(t)=250(3.04)^{\frac{t}{1.98}} describes the amount of rabbits at the time t (in years) but  no the rate of change of the population at a given instant. So you have to use the derivative of p(t) to obtain that rate of change at any instant. For example, if we derivate the function p(t)=250(3.04)^{\frac{t}{1.98}} we obtain:

p'(t)=250\cdot \log(\frac{1}{1.98})(3.04)^{\frac{t}{1.98}}

And if we want to find the rate of change at t=5 years we evaluate

p'(5)=250\cdot \log(\frac{1}{1.98})(3.04)^{\frac{5}{1.98}}=2326 rabbits/year

5 0
3 years ago
1. If one side of the square is 12in, what is the perimeter and area of the parallelogram?
gayaneshka [121]

Answer:

Not sure for 1. Area might be 144. Perimeter might be 50. I got perimeter by finding slant height of the parallelogram and then substituting it to the perimeter formula (P=2(a+b) where a is a side and b is a base). I found area by just multiplying 12*12 since to find area of parallelogram, it is base x height.

2. 45, 135, 135

Step-by-step explanation:

2. We know that an isosceles trapezoid has congruent base angles and congruent upper angles, so if one base angle measures 45 degrees, the other base angle will also be 45 degrees.

For the upper angles, we know that diagonal angles are supplementary, so 180- base angle 1 (45 degrees)= upper angle 1

180-45=upper angle 1

upper angle 1 = 135 degrees

Mentioned above, upper angles are congruent, so upper angles 1 and 2 will be 135 degrees.

Check: The sum of angles in a quadrilateral is equal to 360 degrees. We can use this to check if our answer is correct.

135+135=270 degrees (sum of upper angles)

45+45= 90 degrees (sum of base angles)

270+90=360

So the angle measures of the other three angles are 135, 135, and 45.

Hope this helps!

7 0
2 years ago
Brianna’s family spent $134 on 2 adult tickets and 3 youth tickets at an amusement park. Max’s family spent $146 on 3 adult tick
love history [14]
Let 
 x:adult tickets
 y:youth tickets  
 We have 
 2x+3y=134
 3x+2y=146
 Rewritting
 6x+9y=402
 -6x -4y=-292
 adding
 5y=110
 Clearing y:
 y=110/5
 y=22
 Answer:
 the price of a youth ticket is 22$
5 0
3 years ago
OMG!!! I forgot what Order of Operations were! I need help....
prisoha [69]
Think of PEMDAS, or Please Excuse My Dear Aunt Sally. Which is Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction in that order.
4 0
3 years ago
Read 2 more answers
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