There is enough evidence to conclude that taking aspirin cannot reduces the chance of cancer.
Given sample size of patients take aspirin 11037, sample size of patients who have assigned placebo group be 11034. 104 doctors who take aspirin had a heart attack, 189 doctors had placebo had heart attacks.
First we have to form hypothesis.
![H_{0} :p{1} -p_{2} =0](https://tex.z-dn.net/?f=H_%7B0%7D%20%3Ap%7B1%7D%20-p_%7B2%7D%20%3D0)
![H_{1}:p_{1} -p_{2} < 0](https://tex.z-dn.net/?f=H_%7B1%7D%3Ap_%7B1%7D%20-p_%7B2%7D%20%3C%200)
We have to find the respective probabilities.
=104/11037
=0.0094
=189/11034
=0.0171
Now their respective margin of errors.
=![\sqrt{ {(0.0094*0.9906)/11037}](https://tex.z-dn.net/?f=%5Csqrt%7B%20%7B%280.0094%2A0.9906%29%2F11037%7D)
=0.0009
=![\sqrt{0.0171*0.9829}](https://tex.z-dn.net/?f=%5Csqrt%7B0.0171%2A0.9829%7D)
=0.0011
Hence the distribution of the differences,they are given by:
p=![p_{1} -p_{2}](https://tex.z-dn.net/?f=p_%7B1%7D%20-p_%7B2%7D)
=0.0094-0.0171
=-0.0077
S=![\sqrt{s_{1} ^{2}+s_{2} ^{2} }](https://tex.z-dn.net/?f=%5Csqrt%7Bs_%7B1%7D%20%5E%7B2%7D%2Bs_%7B2%7D%20%5E%7B2%7D%20%20%7D)
=![\sqrt{(0.0009)^{2} +(0.0011)^{2} }](https://tex.z-dn.net/?f=%5Csqrt%7B%280.0009%29%5E%7B2%7D%20%2B%280.0011%29%5E%7B2%7D%20%7D)
=0.00305
z=(p -f)/S (In which f=0 is the value tested at the null hypothesis)
=(-0.0077-0)/0.00305
=-2.52
p value will be 0.005.
p value of 0.05 significance level.
z=1.96.
1.96>0.005
So we will reject the null hypothesis which means it cannot reduce the whole chance of becomming a heart attack.
Hence there is enough evidence to conclude that taking aspirin cannot reduces the chance of cancer.
Learn more about t test at brainly.com/question/6589776
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Answer:
Associative Property
Step-by-step explanation:
Let x = the length of the shorter piece
x+x+16=50in
2x=50-16
2x=34
x=17
Then
x+16=17+16
x+16=33
Subtract 16 from both sides
The lengths are 17in and 33in
To find the half of any number you just have to divide that number by 2. Lets do it, and then check our work:-
55 ÷ 2 = 27.5
The half of 55 is, 27.5.
CHECK OUR WORK:-
27.5 × 2 = 55
We were RIGHT!!!
So, the half of 55 is 27.5.
Hope I helped ya!! xD