That would be 950 * 0.62 = 589 British pounds.
Answer:
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Answer:
A picture
Step-by-step explanation:
Answer:
Claim is False that the incidence of fatigue is greater among those who use Clarinex.
Step-by-step explanation:
Let
and
be the probabilities of the the incidence of fatigue of those using Clarinex. and placebos respectively
2% of the 1650 treated subjects experienced fatigue who are using Drug Clarinex.
= 1650
![\widehat{p_1}=0.02](https://tex.z-dn.net/?f=%5Cwidehat%7Bp_1%7D%3D0.02)
![y_1=2\% \times 1650 =33](https://tex.z-dn.net/?f=y_1%3D2%5C%25%20%5Ctimes%201650%20%3D33)
Among the 1600 subjects given placebos, 1% experienced fatigue.
= 1600
![\widehat{p_2}=0.01](https://tex.z-dn.net/?f=%5Cwidehat%7Bp_2%7D%3D0.01)
![y_21\% \times 1600 =16](https://tex.z-dn.net/?f=y_21%5C%25%20%5Ctimes%201600%20%3D16)
Claim : The incidence of fatigue is greater among those who use Clarinex.
![H_0:p_1\leq p_2\\H_a:p_1>p_2](https://tex.z-dn.net/?f=H_0%3Ap_1%5Cleq%20p_2%5C%5CH_a%3Ap_1%3Ep_2)
We will use Comparing Two Proportions
![\widehat{p}=\frac{y_1+y_2}{n_1+n_2} =\frac{33+16}{1600+1650}=0.015](https://tex.z-dn.net/?f=%5Cwidehat%7Bp%7D%3D%5Cfrac%7By_1%2By_2%7D%7Bn_1%2Bn_2%7D%20%3D%5Cfrac%7B33%2B16%7D%7B1600%2B1650%7D%3D0.015)
Formula of test statistic :![\frac{\widehat{p_1}-\widehat{p_2}}{\sqrt{\widehat{p}(1-\widehat{p})(\frac{1}{n_1}+\frac{1}{n_2})}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cwidehat%7Bp_1%7D-%5Cwidehat%7Bp_2%7D%7D%7B%5Csqrt%7B%5Cwidehat%7Bp%7D%281-%5Cwidehat%7Bp%7D%29%28%5Cfrac%7B1%7D%7Bn_1%7D%2B%5Cfrac%7B1%7D%7Bn_2%7D%29%7D%7D)
Substitute the values
test statistic :![\frac{0.02-0.01}{\sqrt{0.015(1-0.015)(\frac{1}{1650}+\frac{1}{1600})}}](https://tex.z-dn.net/?f=%5Cfrac%7B0.02-0.01%7D%7B%5Csqrt%7B0.015%281-0.015%29%28%5Cfrac%7B1%7D%7B1650%7D%2B%5Cfrac%7B1%7D%7B1600%7D%29%7D%7D)
test statistic :2.344
refer z table for p value
p value = 0.9904
α = 0.05
Since p value >α
So, we accept the null hypothesis
So, the claim is wrong that the incidence of fatigue is greater among those who use Clarinex.