Answer:
24
Step-by-step explanation:
12 divided by 1/2 = 24
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I Think The answer is a I hope it’s right just Trying To help others
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:
a. Practically speaking, you compute the differential in much the same way you compute a derivative via implicit differentiation, but you omit the variable with respect to which you are differentiating.
Aside: Compare this to what happens when you differentiate both sides with respect to some other independent parameter, say :
b. This is just a matter of plugging
Step-by-step explanation:
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