Apoll is conducted to determine if political party has any association with whether a person is for or against a certain bill. in the poll, 214 out of 432 democrats and 246 out of 421 republicans are in favor of the bill. assuming political party has no association, the probability of these results being by chance is calculated to be 0.01. interpret the results of the calculation. select the correct answer below: we can expect that 246 out of every 421 republicans are in support of this bill. we cannot say the results are statistically significant at the 0.05 level. at the 0.01 level of significance, political party is associated with whether a person supports this bill. at the 0.01 level of significance, political party determines whether a person supports this bill.

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.

3-4

step-by-step explanation:

the answer is 3-4 because both 45 and 60 has a multiple of 15.

45/3=15

60/4=15

therefore the odds against selecting a red is 4-3

11

step-by-step explanation:

32.50-7.50=25

225/25=11