In testing space H subscript 0 colon space mu equals 5 space versus space H subscript a colon space mu greater than space 5, a sample of size 35 yielded a p-value of 0.014. If alpha equals space 0.01, and the true value of the mean was actually mu equals 7, then which of the following best describes what happened? A Type I Error was made. The decision was powerful. The decision was correct (no error). It is impossible to determine what happened. A Type II Error was made.

unless you made a typo, the answers are both a and c.

step-by-step explanation:

1.5/3 is .5 whereas 3/9 is .3333333 not proportional

22/33 is .66666 and 4/6 is also .66666 proportional

2/4 is .5 whereas 142/213 is .66666 not proportional

14/7 is 2 and 7/3.5 is also 2 proportional

you could've also checked it by doing this simple division:

if the larger fraction divides with the smaller fraction to equal 1, it is proportional. so let me show you what i mean:

when i divide 22/33 by 4/6 i get 1, so we know it is proportional, and it is the same with 14/7 and 7/3.5. now if i divide 3/9 by 1.5/3 i get .66666 so therefore we know it is not proportional.

there are many ways to do this so i wanted to show you some possible ways.

then

is this the complete