At a high school debate tournament, half of the teams were asked to wear suits and ties and the rest were asked to wear jeans and t- shirts. The results are given in th etable below. In order to test the claim at the 0.05 level that the proportion of win is the same for teams wearing sutis as for the teams wearing the jeans, what would the null hypothesis be?

A) The proportions of wins is the same for teams wearing suits as for teams wearing jeans
B) The proportions of wins is the different for teams wearing suits as for teams wearing jeans
C) The mean number of wins is the same for teams wearing suits as for teams wearing jeans
D) The mean number of wins is the same for teams wearing suits as for teams wearing jeans

A) The proportions of wins is the same for teams wearing suits as for teams wearing jeans

Step-by-step explanation:

Although the question says that they will "test the claim at the 0.05 level that the proportion of win is the same for teams wearing sutis as for the teams wearing the jeans", the claim, that will be expressed in the alternative hypothesis, is that there is a significant difference between the two proportions.

The null hypothesis, the one that this test try to nullify, will state that there is no significant difference between the two proportions. Or, saying the same, that the proportions are equal.

The right answer is A, which states that the two proportions (as this is a test on the difference of proportions) are equal.

answer: a rhombus has two lines of symmetry that run through one vertex to the one directly across it. unlike a square, planes through the center of each edge of a rhombus do not yield mirrored sides.

step-by-step explanation:

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: