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



= 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


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.
Answer:they are the same width, they are accurate, it related to the topic of the graph, and contains the same volume.
Step-by-step explanation:What is the most important consideration when using pictographs to represent data? (1 point) The bars on the pictograph are the same width. The proportions of the pictographs are accurate, The image in the pictograph is related to the topic of the graph. Each pictograph contains the same volume.
Answer:
The simplified form is,

Step-by-step explanation:
The given expression is,







Answer: The discounted price is $948. The value of the discount itself is $632.
Step-by-step explanation:
<h3>To calculate discounts, you multiply the percentage of the discount as a decimal with the price of the product.
In this particular case:
0.40 [percentage of discount] x $1580 [original cost] = $632 (the amount of the discount) </h3><h3>$1580 - $632 = $698 [new price after discount is applied]</h3>
Answer:
1 + x meters.
Step-by-step explanation:
A square has 4 equal sides so each side will have a length equal to the square root of the area.
Side length = √(1 + 2x + x^2)
= √(1 + x)(1 + x)
= 1 + x.