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mestny [16]
2 years ago
5

4. Mr. Perez's science students conducted a wildlife count in the local forest. The results of their count are shown in the tabl

e. 25 Squirrel Rabbit 10 A. Find the angle measure for each section. Deer 10 Raccoon 5 alo a circle aranh​
Mathematics
1 answer:
Cerrena [4.2K]2 years ago
6 0

Circle graphs are used to display the relationship between variables using a complete circle

The angle measures of the sections are 180 degrees, 72 degrees, 72 degrees and 36 degrees, respectively.

The count of the animals are given as:

  • Squirrel = 25
  • Rabbit = 10
  • Deer = 10
  • Raccoon = 5

The total count of animals is:

\mathbf{Total = 25 + 10 +10 + 5}

\mathbf{Total = 50}

The angle measure of each section is then calculated using:

\mathbf{Angle = \frac{Animal \times 360}{Total}}

So, we have:

\mathbf{Squirrel = \frac{25 \times 360}{50} }

Simplify the numerator

\mathbf{Squirrel = \frac{9000}{50} }

Divide

\mathbf{Squirrel = 180}

\mathbf{Rabbit= \frac{10\times 360}{50} }

Simplify the numerator

\mathbf{Rabbit= \frac{3600}{50} }

Divide

\mathbf{Rabbit= 72}

\mathbf{Deer= \frac{10\times 360}{50} }

Simplify the numerator

\mathbf{Deer= \frac{3600}{50} }

Divide

\mathbf{Deer= 72}

Lastly, we have:

\mathbf{Raccoon= \frac{5\times 360}{50} }

Simplify the numerator

\mathbf{Raccoon= \frac{1800}{50} }

Divide

\mathbf{Raccoon= 36}

Hence, the angle measures of the sections are 180 degrees, 72 degrees, 72 degrees and 36 degrees, respectively.

See attachment for the circle graph

Read more about circle graphs at:

brainly.com/question/13298277

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We are conducting a hypothesis test to determine if fewer than 80% of ST 311 Hybrid students complete all modules before class.
Juli2301 [7.4K]

Answer:

z=\frac{0.881 -0.8}{\sqrt{\frac{0.8(1-0.8)}{110}}}=2.124  

Null hypothesis:p\geq 0.8  

Alternative hypothesis:p < 0.8  

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

p_v =P(Z  

So the p value obtained was a very high value and using the significance level assumed \alpha=0.05 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis.

Be Careful with the system of hypothesis!

If we conduct the test with the following hypothesis:

Null hypothesis:p\leq 0.8  

Alternative hypothesis:p > 0.8

p_v =P(Z>2.124)=0.013  

So the p value obtained was a very low value and using the significance level assumed \alpha=0.05 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis.

Step-by-step explanation:

1) Data given and notation  

n=110 represent the random sample taken

X=97 represent the students who completed the modules before class

\hat p=\frac{97}{110}=0.882 estimated proportion of students who completed the modules before class

p_o=0.8 is the value that we want to test

\alpha represent the significance level

z would represent the statistic (variable of interest)

p_v{/tex} 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 less than 0.8 or 80%:  Null hypothesis:[tex]p\geq 0.8  

Alternative hypothesis:p < 0.8  

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{0.881 -0.8}{\sqrt{\frac{0.8(1-0.8)}{110}}}=2.124  

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 left tailed test the p value would be:  

p_v =P(Z  

So the p value obtained was a very high value and using the significance level assumed \alpha=0.05 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis.

Be Careful with the system of hypothesis!

If we conduct the test with the following hypothesis:

Null hypothesis:p\leq 0.8  

Alternative hypothesis:p > 0.8

p_v =P(Z>2.124)=0.013  

So the p value obtained was a very low value and using the significance level assumed \alpha=0.05 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis.

5 0
4 years ago
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