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1 year ago

A) What type of triangle is triangle ABC? isosceles b) Give reasons for your answer.

Mathematics

1 answer:

lara31 [8.8K]1 year ago

4 0

The type of triangle represented in the image attached to the task content is; Isosceles.

<h3>What type of triangle is triangle ABC?</h3>

By observation; since line AB and DE are parallel lines; it follows from the alternate Angie theorem that; <ABC = <BCE = 80°.

On this note, since angle ACD is 50°, the measure on <ACB is;

180 - 80 - 50 = 50°.

Therefore, since the sum of interior angle measures in a triangle is; 180°.

It follows that; <BAC is; 180 - 80 - 50 = 50°.

Hence, since the base angles; BAC and ACB are equal; it follows that the triangle in discuss is an isosceles triangle.

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Answer:

$z=\frac{0.39 -0.45}{\sqrt{\frac{0.45(1-0.45)}{700}}}=-3.19$

$p_v =P(z$

So the p value obtained was a very low value and using the significance level given $\alpha=0.01$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 1% of significance the proportion of interst is significantly lower than 0.45 and the claim is not appropiate

Step-by-step explanation:

Data given and notation

n=700 represent the random sample taken

$\hat p=0.39$ estimated proportion of interest

$p_o=0.7$ is the value that we want to test

$\alpha=0.01$ represent the significance level

Confidence=99% or 0.99

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 at least 0.45.:

Null hypothesis: $p\geq 0.45$

Alternative hypothesis: $p < 0.45$

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:

$z=\frac{0.39 -0.45}{\sqrt{\frac{0.45(1-0.45)}{700}}}=-3.19$

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 $\alpha=0.01$ . The next step would be calculate the p value for this test.

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

$p_v =P(z$

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