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uysha [10]
2 years ago
9

JACKIE COLLECTS DATA THROUGTH THE BASEBALL SEASON AND USED THESE DATA TO DETERMINE THE PROBABILITIES OF DIFFRENT TEAMS PLAYING I

N THE LEAGUE CHAMPIONSHIP GAME,THE PROBABILITTIES FOR HER FAVORITE TEAMS PLAYING IN THE CHAMPIONSHIP GAME ARE SHOWN BELOW WHAT TEAMS IS LIKELY TO WIN
Mathematics
1 answer:
Citrus2011 [14]2 years ago
4 0

In this question, we want to compare several numbers with different denominators and find out which number is the least. To compare this number, we have to change the denominator into the same number by finding the least common multiple (LCM) of the 4 numbers. The factor of each number will be:

3= 3 ^1

5= 5^1

8= 2 * 2 * 2 = 2^3

2= 2^1

We can find the LCM by multiplying a higher exponent of each prime number. The LCM will be:3^1 * 5^1 * 2^3 = 120

Each number will be:

Tiger= 2/3 * 40/40= 80/120

Redbird = 4/5 * 24/24= 96/120

Bulldogs = 3/8 * 15/15 = 45/120

Titans = 1/2 * 60/60 = 60/120

As you can see, the team with the lowest chance to play is Bulldogs = 45/120

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Use this information to answer the questions. University personnel are concerned about the sleeping habits of students and the n
Oksanka [162]

Answer:

z=\frac{0.554 -0.5}{\sqrt{\frac{0.5(1-0.5)}{377}}}=2.097  

p_v =P(Z>2.097)=0.018  

If we compare the p value obtained and 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  students reported experiencing excessive daytime sleepiness (EDS) is significantly higher than 0.5 or the half.

Step-by-step explanation:

1) Data given and notation

n=377 represent the random sample taken

X=209 represent the students reported experiencing excessive daytime sleepiness (EDS)

\hat p=\frac{209}{377}=0.554 estimated proportion of students reported experiencing excessive daytime sleepiness (EDS)

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 true proportion is higher than 0.5:  

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{0.554 -0.5}{\sqrt{\frac{0.5(1-0.5)}{377}}}=2.097  

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>2.097)=0.018  

If we compare the p value obtained and 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  students reported experiencing excessive daytime sleepiness (EDS) is significantly higher than 0.5 or the half.

6 0
3 years ago
What is the vertex of the absolute value function below?
Nonamiya [84]

Answer:

sry I just wanted the points I'm in middle school so I don't know this stuff either but can you give free brainlyest I'm soo close to my next rank I'd really appreciate it if you would

4 0
2 years ago
A cube made of an unknown material has a height of 9 cm. The mass of this cube is 3.645 grams. What is the density of this cube?
ehidna [41]

Answer:

density =  \frac{mass}{volume}

mass = 3.645 g

volume = 9×9×9

= 729 cm³

density = 3.645/729

= 0.005 gcm^-3

Step-by-step explanation:

the volume is 729 cm³ cause the given height is 9cm and it is a cube. cube has equal sides so their lengths are the same.

volume = length × height × width

8 0
2 years ago
I need help on this.
liraira [26]

If the triangles are similar, the proportion of the legs on the left to the legs on the right will be equal.  This proportion would look like:

\frac{2x+1}{3x}=\frac{10}{14}

(You needed to combine the orange segment and the yellow segment to find the total length of the large triangle).


Now, cross multiply and solve for x:

28x+14=30x

<em>*Subtract 28x from both sides to isolate the variable*</em>

14=2x

<em>*Divide both sides by 2*</em>

7=x


Hope this helps!!

7 0
3 years ago
Finding the expression please <br> ANSWER ASAP!!!!!!
Elena L [17]
G^9 is what I got. Hope this helps

6 0
3 years ago
Read 2 more answers
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