You wonder if one's age is independent of whether or not one's willingness to wear masks in public. You ask 100 people whether they are wearing masks in public or not and whether they are under 20 years old, between 20 and 39, between 40 and 59, or 60 or above. Using your data, you calculate a test statistic of 16.5. Using a critical value of 7.82, what is your statistical conclusion

One's age is not independent of one's willingness to wear masks in public.

Step-by-step explanation:

The hypothesis for the study can be defined as follows:

H₀: One's age is independent of one's willingness to wear masks in public.

Hₐ: One's age is not independent of one's willingness to wear masks in public.

It is provided that the test statistic value is, t = 16.5.

And the critical value of the test is, c = 7.82.

t = 16.5 > c = 7.82

Since the  test statistic value is more than the critical value, the null hypothesis will be rejected.

Thus, concluding that one's age is not independent of one's willingness to wear masks in public.

i think is 3 and 6. this took me 10 min to think.hope to and hope that my answer is brainliest.(follow me )

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .