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erastova [34]
3 years ago
12

Find the slope of the line that passes through the points (-4, 3) and (6, -2).

Mathematics
2 answers:
Norma-Jean [14]3 years ago
5 0

Answer:

-1/2

Step-by-step explanation:

using the slope formula 3-(-2)/-4-6=-1/2

GarryVolchara [31]3 years ago
5 0

Step-by-step explanation:

dy = the change in y-values = –2–3 = –5

dx = the change in x-values = 6–(–4) = 6+4 = 10

m = Dy/Dx = –5/10

m = –½

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3 years ago
According to a recent poll 53% of Americans would vote for the incumbent president. If a random sample of 100 people results in
liraira [26]

Answer:

1) Null hypothesis:p=0.53  

2)Alternative hypothesis:p \neq 0.53  

3) z=\frac{0.4 -0.53}{\sqrt{\frac{0.53(1-0.53)}{100}}}=-2.605  

4) We assume that \alpha=0.05

p_v =2*P(z  

So the p value obtained was a very low value and using the significance level given \alpha=0.05 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of people who would vote for the incumbent is different from 0.53.  

Step-by-step explanation:

Data given and notation  

n=100 represent the random sample taken

\hat p=0.4 estimated proportion of people who would vote for the incumbent

p_o=0.53 is the value that we want to test

\alpha=0.05 represent the significance level  (assumed)

Confidence=95% or 0.95  (Assumed)

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 0.53 or not.:  

1) Null hypothesis:p=0.53  

2)Alternative hypothesis:p \neq 0.53  

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.

3) Calculate the statistic  

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

z=\frac{0.4 -0.53}{\sqrt{\frac{0.53(1-0.53)}{100}}}=-2.605  

4) 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 significance level assumed \alpha=0.05. The next step would be calculate the p value for this test.  

Since is a bilateral test the p value would be:  

p_v =2*P(z  

So the p value obtained was a very low value and using the significance level given \alpha=0.05 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of people who would vote for the incumbent is different from 0.53 .  

5 0
3 years ago
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