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:
Let the angles have measures 2x,3x,4x
Then 2x+3x+4x = 180
and the rest is easy
Step-by-step explanation:
Answer:
18 combinations
Step-by-step explanation:
There are three chocolates and six different options to mix with those chocolates. Each chocolate has six different options. So, it comes to 6 + 6 + 6 or 6 • 3 whoch equals 18 different combinations.
Answer:
d
Step-by-step explanation:
100x² - 1 ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b), thus
100x² - 1
= (10x)² - 1²
= (10x - 1)(10x + 1) → d
HERE'S HOW TO DO IT :)
A composite figure is made up of several simple geometric figures such as triangles, rectangles, squares, circles, and semicircles.
<u>To find the area of a composite figure, separate the figure into simpler shapes whose area can be found. Then add the areas together.</u>
<u>(SEE EXAMPLE ATTACHED)</u>
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<u>HERES WHAT WE KNOW ABOUT COMPOSITE FIGURES:</u>
<u>Composite Figures. A figure (or shape) that can be divided into more than one of the basic figures is said to be a composite figure (or shape). For example, figure ABCD is a composite figure as it consists of two basic figures</u>
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<em>let me know if i can help more :)</em>
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