In this exercise, we are conducting many hypothesis tests to test a claim. Assume that the null hypothesis is true. If 200 tests are conducted using a significance level of 2% , approximately how many of the tests will incorrectly find significance?

196

Step-by-step explanation:

Given that the  significance level of 2% = α

Because the the null hypothesis is true so it is denoted by α it also defined as the level of significance =1 - confidence level  = 1 - 0.02 = 0.98.

So the number of the tests will incorrectly find significance:

=0.98×200=196

the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

the root or roots of a polynomial are the values of the variable that makes the polynomial equal to 0. we can find the roots of a polynomial making the expression equal to 0 and then, isolating the variable (it it has just one variable).

for example, given the following polynomial:

the root or zero of the polynomial, can be found by making the expression equal to 0, and then, isolating the variable, so, finding the root we have:

therefore, we have that the root of the polynomial is equal to 2.

we must remember that the number of roots that a polynomial can have, will depend on the degree of the polynomial, a first degree polynomial have will have one single root, a second degree polynomial (quadratic expression) may have two roots and so.

hence the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

have a nice day!