When individuals in a sample of 150 were asked whether or notthey supported capital punishment, the following information was obtained. do you support number of capital punishment? individuals yes 40 no 60 no opinion 50we are interested in determining whether or not the opinionsof the individuals (as to yes, no and no opinion) are uniformlydistributed. the expected frequency for each group is? a.) 0.333b.) 0.50c.) 1/3d.) 50the calculated value for the test statistic equals? a.) 2b.) -2c.) 20the number of degrees of freedom associated with this problemis ? a. 150b. 149c. 2d. 3the p-value is ? a. larger than0.1b. less than 0.1c. less than 0.05d. larger than 0.9the conclusion of the test(at 95% confidence) is thatthea. distribution is uniformb. distribution is not uniformc. test is inconclusived. none of these alternatives iscorrectthe simple linear regression, r2 is the ? a. estimated regression equationb. coefficient of correlationc. sum fo the squared residualsd. coefficient of determination

a. distribution is uniform

Step-by-step explanation:

Given that  a sample of 150 were asked whether or notthey supported capital punishment.

3)

we prepare contingency tab

Expected = 50 50 50

Chisquare = 4

chi square2204

p value0.135

Since p >0.05 we accept H0

a. distribution is uniform

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1