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Law Incorporation [45]
1 year ago
6

I really need help with this can somebody help me ?

Mathematics
1 answer:
Mama L [17]1 year ago
6 0

<em>Answer</em>

a. Vertical shrink by a factor of 1/3

<em>Step-by-step explanation</em>

Function transformation

• a,f(x) vertically compresses f(x) when 0 < a < 1

Given the function:

f(x)=x^2

Multiplying f(x) by a = 1/3, we get:

\frac{1}{3}f(x)=\frac{1}{3}x^2=h(x)

Then, f(x) is vertically shrunk by a factor of 1/3

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Step-by-step explanation: hope this helps.

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In ΔNOP, the measure of ∠P=90°, NO = 96 feet, and OP = 36 feet. Find the measure of ∠O to the nearest tenth of a degree.
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Step-by-step explanation:

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3 years ago
(1 point) A noted psychic was tested for ESP. The psychic was presented with 180 cards face down and was asked to determine if t
Luba_88 [7]

Answer:

a) z=\frac{0.239 -0.2}{\sqrt{\frac{0.2(1-0.2)}{180}}}=1.308  

b) p_v =P(z>1.308)=0.0954  

Step-by-step explanation:

Data given and notation

n=180 represent the random sample taken

X=43 represent the correct guesses

\hat p=\frac{43}{180}=0.239 estimated proportion correct guesses

p_o=0.2 is the value that we want to test

\alpha represent the significance level

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the ture proportion is higher than 0.2 or no.:  

Null hypothesis:p=0.2  

Alternative hypothesis:p > 0.2  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

Part a: Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.239 -0.2}{\sqrt{\frac{0.2(1-0.2)}{180}}}=1.308  

Part b: Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The next step would be calculate the p value for this test.  

Since is a right tailed test the p value would be:  

p_v =P(z>1.308)=0.0954  

5 0
3 years ago
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