Answer:
At x=3 the value of the function is 4
Step-by-step explanation:
we have the points
(-2,3) and (3,4)
That means
(-2,3)
For x=-2
The value of the function y is equal to 3
(3,4)
For x=3
The value of the function y is equal to 4
therefore
At x=3 the value of the function is 4
The correct answer would be 616
Answer:
The test statistic is z = -2.82.
Step-by-step explanation:
A marketing research firm believes that more than half of adults drink mostly either regular or diet soda.
This means that the null hypothesis is: ![H_{0} = 0.5](https://tex.z-dn.net/?f=H_%7B0%7D%20%3D%200.5)
The alternate hypothesis is: ![H_{a} > 0.5](https://tex.z-dn.net/?f=H_%7Ba%7D%20%3E%200.5)
The test statistic is:
![z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}](https://tex.z-dn.net/?f=z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%7D)
In which X is the sample mean,
is the value tested at the null hypothesis,
is the standard deviation and n is the size of the sample.
0.5 tested at the null hypothesis:
This means that:
![\mu = 0.5, \sigma = \sqrt{0.5*0.5} = 0.5](https://tex.z-dn.net/?f=%5Cmu%20%3D%200.5%2C%20%5Csigma%20%3D%20%5Csqrt%7B0.5%2A0.5%7D%20%3D%200.5)
Gallup took a nationally representative sample of 2027 adults and asked them about their soda consumption. The survey shows that 950 of those surveyed drink mostly either regular or diet soda.
This means that ![n = 2027, X = \frac{950}{2027} = 0.4687](https://tex.z-dn.net/?f=n%20%3D%202027%2C%20X%20%3D%20%5Cfrac%7B950%7D%7B2027%7D%20%3D%200.4687)
Test statistic:
![z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}](https://tex.z-dn.net/?f=z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%7D)
![z = \frac{0.4687 - 0.5}{\frac{0.5}{\sqrt{2027}}}](https://tex.z-dn.net/?f=z%20%3D%20%5Cfrac%7B0.4687%20-%200.5%7D%7B%5Cfrac%7B0.5%7D%7B%5Csqrt%7B2027%7D%7D%7D)
![z = -2.82](https://tex.z-dn.net/?f=z%20%3D%20-2.82)
The test statistic is z = -2.82.
Answer:
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