Assume a significance level of α=0.05 and use the given information to complete parts (a) and (b) below. Original claim: Less than 51% of adults would erase all of their personal information online if they could. The hypothesis test results in a P-value of 0.0148
a. State a conclusion about the null hypothesis. (Reject Upper H0 or fail to reject Upper H0
Choose the correct answer below.
A. Reject Upper H0 because the P-value is less than or equal to to α.
B. Reject Upper H0 because the P-value is greater than α.
C. Fail to reject Upper H0 because the P-value is greater than α.
D. Fail to reject Upper H0 because the P-value is less than or equal to α.
b. Without using technical terms, state a final conclusion that addresses the original claim. Which of the following is the correct conclusion?
A. The percentage of adults that would erase all of their personal information online if they could is less than or equal to 51%.
B. There is sufficient evidence to support the claim that the percentage of adults that would erase all of their personal information online if they could is more than 51%.
C. The percentage of adults that would erase all of their personal information online if they could is more than 51%.
D. There is not sufficient evidence to support the claim that the percentage of adults that would erase all of their personal information online if they could is more than 51%.

A.Reject Upper H0 because the P-value is less than or equal to to α.

B.There is sufficient evidence to support the claim that the percentage of adults that would erase all of their personal information online if they could is more than 51%.

Step-by-step explanation:

Given the claim :

Less than 51% will erase their personal information :

We take this as the null ;

H0 < 0.51 ;

Alternative hypothesis which is the opposite of the Null

H1 > 0.51

P value = 0.0148

α = 0.05

At α = 0.05 ; if p value is less than α ; reject the the Null

If p value is greater than Null ; then we fail to reject the Null

Pvalue < α

The P value is less than 0.05; then we reject the Null

B.) There is significance evidence to support the Alternative hypothesis claim, that the percentage of adult that would erase all their personal information online if they could is more Than 51%

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