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.

$H_{0} :p{1} -p_{2} =0$

$H_{1}:p_{1} -p_{2} < 0$

We have to find the respective probabilities.

$p_{1}$ =104/11037

=0.0094

$p_{2}$ =189/11034

=0.0171

Now their respective margin of errors.

$s_{1}$ = $\sqrt{ {(0.0094*0.9906)/11037}$

=0.0009

$s_{2}$ = $\sqrt{0.0171*0.9829}$

=0.0011

Hence the distribution of the differences,they are given by:

p= $p_{1} -p_{2}$

=0.0094-0.0171

=-0.0077

S= $\sqrt{s_{1} ^{2}+s_{2} ^{2} }$

= $\sqrt{(0.0009)^{2} +(0.0011)^{2} }$

=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.

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2 years ago