Aresearch company claims that no more than 55% of americans regularly watch fox news. you decide to test this claim and ask a random sample of 425 americans if they watch this network regularly. of the 425 sampled, 255 respond yes. calculate the test statistic for the hypothesis test.

z(e) = 2.07

Step-by-step explanation:

1.-The problem is about a test of proportions. As research company claims than no more 55 % of Americans regularly watch Fox News

The null hypothesis is  H₀       P₀ ≤ 0.55       from 55%

And the alternative hypothesis is  Hₐ      Pₐ > .55

Is one tail test

2.-We have to specify significance level we assume our test will be for a significance level α = 5%  or α = 0,05

3.-Calculation of z (c) = ??  and z (e) = '??

For z (c) we find in z table the value of  z(c) = 1.64

For z (e) = ( P -P₀)/√p₀q₀/n     z(e) = 0.05 / √(0.55*0,45)/425                         z(e) = 0,05/ 0.02413    z(e) = 2.07

z(e) > z(c)  threfore z(e) is in the rejection zone . We reject null hyothesis

Both triangles are scalene & Both triangles have an obtuse angle.

Step-by-step explanation:

Key skills needed: Triangle recognition, Comparing Triangles

1) We are given those 2 triangles, and we need to see if they are isosceles, scalene, obtuse, and acute.

2) To get this, let's define each thing:

Acute triangle - Means that all the angles in triangle are acute, which means they are less than 90 degrees in measure.

Obtuse triangle - Means that one angle in the triangle is obtuse, which means it is greater than 90 degrees in measure.

Scalene triangle - All the sides of the triangle are different in size/length

Isosceles triangle - 2 sides of the triangle are the same length

3) Now, we can use this to see what both triangles are:

--> Both triangles are not isosceles, they are both scalene. This is because all the sides of each triangle are different in size/length. This makes it scalene.

--> Both triangles are not acute triangles, they are both obtuse triangles. This is since the largest angle in each triangle is clear an obtuse angle (it looks like it is more than 90 degrees). Refer to the image I post as help.

With the observations above: We can say that both triangles are scalene, and both triangles are obtuse triangles.

Hope you understood and have a nice day!! :D