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Pani-rosa [81]
3 years ago
5

Can someone help me with the 2 tables ONLY?

Mathematics
1 answer:
Serjik [45]3 years ago
6 0

Answer:

2 and 6 are proportional

Step-by-step explanation:

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Step-by-step explanation:

x/45=55/100

x=99/4 or 24.75 or 24 3/4  All three are the same.

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p_v = P(z>2.425) = 0.0076

The p value is a value in order to reject or not the null hypothesis. If the p value is higher than the significance level we FAIL to reject the null hypothesis otherwise we have enough evidence to reject the null hypothesis.

Step-by-step explanation:

Data given and notation

n=100 represent the random sample taken

X=152 represent the people passed the exam

\hat p = \frac{152}{200}= 0.76 estimated proportion of people report having texted while​ driving

p_o = 0.68 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 true proportion is higher than 0.68.:  

Null hypothesis:p \leq 0.68  

Alternative hypothesis:p>0.68  

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.

Calculate the statistic  

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

z=\frac{0.76 -0.68}{\sqrt{\frac{0.68(1-0.68)}{200}}}=2.425

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 left right test the p value would be:  

p_v = P(z>2.425) = 0.0076

The p value is a value in order to reject or not the null hypothesis. If the p value is higher than the significance level we FAIL to reject the null hypothesis otherwise we have enough evidence to reject the null hypothesis.

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4 years ago
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