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Inga [223]
3 years ago
9

Parallel lines always,sometimes,or never intersect?

Mathematics
2 answers:
STatiana [176]3 years ago
8 0
They never intersect
yan [13]3 years ago
4 0
They will never intersect.
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There were 2430 Major League Baseball games played in 2009, and the home team won the game in 53% of the games. If we consider t
Ivahew [28]

Answer:

z=\frac{0.53 -0.5}{\sqrt{\frac{0.5(1-0.5)}{2430}}}=2.958  

p_v =P(Z>2.958)=0.0015  

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 is significantly higher than 0.5 .  

Step-by-step explanation:

1) Data given and notation  

n=2430 represent the random sample taken

\hat p=0.53 estimated proportion when the home team won the game

p_o=0.5 is the value that we want to test

\alpha=0.05 represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the proportion is higher than 0.5 or 50%:  

Null hypothesis:p\leq 0.5  

Alternative hypothesis:p > 0.5  

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{0.53 -0.5}{\sqrt{\frac{0.5(1-0.5)}{2430}}}=2.958  

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 provided \alpha=0.05. 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>2.958)=0.0015  

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 is significantly higher than 0.5 .  

8 0
3 years ago
Roger ran 8 laps around a 1/4 mile track during PE on Monday. How many feet did Roger run in completing eight laps?
Karo-lina-s [1.5K]
8 * 1/4 = 2 then 2 * 5280 = 10560
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3 years ago
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4(x + y) in expanding form
Tpy6a [65]

The answer is 4x + 4y

5 0
3 years ago
Lists bout 4 packs of socks for 36$ how many packs of socks can she buy for 54$ Find unit rate to solve this
Vika [28.1K]

Answer:

She can buy 6

Step-by-step explanation:

4=36

1=9

54/9=6

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3 years ago
Which of the following algebraic steps will solve the equation 5p= -35 and what is the solution
Alex17521 [72]

Answer:

p=-7

Step-by-step explanation:

5p=-35

Divide both sides by 5

5p/5 =-35/5

therefore p=-7

4 0
3 years ago
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