Answer and Step-by-step explanation:
This is a complete question
Trials in an experiment with a polygraph include 97 results that include 23 cases of wrong results and 74 cases of correct results. Use a 0.01 significance level to test the claim that such polygraph results are correct less than 80% of the time. Identify the nullhypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method. Use the normal distribution as an approximation of the binomial distribution.
The computation is shown below:
The null and alternative hypothesis is
![H_0 : p = 0.80](https://tex.z-dn.net/?f=H_0%20%3A%20p%20%3D%200.80)
![Ha : p < 0.80](https://tex.z-dn.net/?f=Ha%20%3A%20p%20%3C%200.80)
![\hat p = \frac{x}{ n} \\\\= \frac{74}{97}](https://tex.z-dn.net/?f=%5Chat%20p%20%3D%20%5Cfrac%7Bx%7D%7B%20n%7D%20%5C%5C%5C%5C%3D%20%5Cfrac%7B74%7D%7B97%7D)
= 0.7629
Now Test statistic = z
![= \hat p - P0 / [\sqrtP0 \times (1 - P0 ) / n]](https://tex.z-dn.net/?f=%3D%20%5Chat%20p%20-%20P0%20%2F%20%5B%5CsqrtP0%20%5Ctimes%20%281%20-%20P0%20%29%20%2F%20n%5D)
![= 0.7629 - 0.80 / [\sqrt(0.80 \times 0.20) / 97]](https://tex.z-dn.net/?f=%3D%200.7629%20-%200.80%20%2F%20%5B%5Csqrt%280.80%20%5Ctimes%200.20%29%20%2F%2097%5D)
= -0.91
Now
P-value = 0.1804
![\alpha = 0.01](https://tex.z-dn.net/?f=%5Calpha%20%3D%200.01)
![P-value > \alpha](https://tex.z-dn.net/?f=P-value%20%3E%20%5Calpha)
So, it is Fail to reject the null hypothesis.
There is ample evidence to demonstrate that less than 80 percent of the time reports that these polygraph findings are accurate.
100,00 ml +99 ml + 2999 = 103,098
Okay so you make your own kind of number, add the two number together. then graph the number on the chart verifying where its at . go from the origin and fine out where your number stands. then make sure your equations can prove that what number you picked and were you put them made the answer true
hope this helped!
D
Adding a negative is the same as subtracting