Use the figure and given angle to find the measure of each angle below (tell me how many degrees it is).

9514 1404 393

  ∠6 = ∠4 = 84°

  ∠5 = ∠3 = 96°

Step-by-step explanation:

Angle 4 and the marked angle (84°) are corresponding angles, so are congruent. Angles 4 and 6 are vertical angles, so are congruent.

  ∠6 = ∠4 = 84°

Angle 3 and the marked angle are a linear pair, so angle 3 is the supplement of 84°:

  ∠3 = 180° -84° = 96°

Angle 3 and angle 5 are alternate interior angles, so are congruent.

  ∠5 = ∠3 = 96°

We cannot say the results are statistically significant at the 0.05 level.

Step-by-step explanation:

Hello!

This is a test of association for two variables. (I'm going to solve it using the chi-Square test of independence)

We have two study variables.

X1: The person belongs to a political party. (Categories: Democrat; Republican)

X2: The person's opinion about a certain bill. (Categories: support; is against)

With the information organized in a contingency table:

                    ; Supports  ; is against  ; Total

Democrat    ;     214        ;     218        ; 432

Republican  ;     246       ;     175        ; 421

Total            ;     460       ;     393       ; 853

The hiphotesis for this test are:

H₀: ∀ i = 1,2 j = 1,2 (Assumes there is no association between the political party and the opinion about a certain bill)

H₁: Assumes there is an association between the political party and the opinion about a certain bill

Level of significance.

α: 0,05

Critical region

Chi-Square statistic

=∑∑≈

This is a one-tailed (right) test with (i-1)(j-1) degrees of freedom (number of rows - 1 by number of columnes - 1)

(by my Table)

-or-

P-value: 0.3197

Using the P-value against the level of significance, 0,05, we can conclude that the there is no statistical significance.