Answer:
Part A
The p-value indicates that the largest probability of having the two remedies having a difference as observed or larger than as observed being equal to 0.3822
Part B:
Given that the p-value of 0.3822 is larger than the significance level α of 0.05, we fail to reject the null hypothesis and we conclude that there is enough statistical evidence to suggest that the salvage rates are the same for Remedy A and B
Step-by-step explanation:
The p-value
The test statistic is given as follows;
![Z=\dfrac{\hat{p}_1-\hat{p}_2}{\sqrt{\hat{p}(1-\hat{p})\left (\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}} \right )}}](https://tex.z-dn.net/?f=Z%3D%5Cdfrac%7B%5Chat%7Bp%7D_1-%5Chat%7Bp%7D_2%7D%7B%5Csqrt%7B%5Chat%7Bp%7D%281-%5Chat%7Bp%7D%29%5Cleft%20%28%5Cdfrac%7B1%7D%7Bn_%7B1%7D%7D%2B%5Cdfrac%7B1%7D%7Bn_%7B2%7D%7D%20%20%5Cright%20%29%7D%7D)
= 35/220 = 7/44
= 39/230
= 74/220 = 37/110
We get our test statistic z = -0.2996381
Part A
The p-value indicates that the largest probability of having the two remedies having a difference as observed or larger than as observed being equal to 0.3822
Part B:
Given that the p-value of 0.3822 is larger than the significance level α of 0.05, we fail to reject the null hypothesis and we conclude that there is enough statistical evidence to suggest that the salvage rates are the same for Remedy A and B.