Question

A proposed null hypothesis states that there is no difference between the mean weights of the population of two neighboring districts. The sample mean difference is 12 kilograms, and the standard deviation of the distribution of the difference between sample means is 9 kilograms. Which statement is true?

a The null hypothesis must be accepted if we choose the 68% confidence level.

b The null hypothesis must be accepted if we choose the 95% confidence level.

c The null hypothesis must be rejected if we choose the 99.7 % confidence level.

@amistre64

Answer 1

d The null hypothesis must be rejected if we choose the 100% confidence level.

e The null hypothesis must be rejected if we choose the 95% confidence level.

Answer 2

because the means are not significant the null hypothesis would be accepted.

Answer 3

what is 12/9?

Answer 4

1.33

Answer 5

then we need this to be within our limits of the CI right?

if its in the limits we fail to reject; if outside the limits we reject

Answer 6

okay so it must be rejected

Answer 7

depends on the interval ...

68% is say from 0 to 1; 1.33 is not in the interval and we would reject the null
95% is say from 0 to 2; 1.33 IS in the interval and we would 'fail to reject' the null
99% is say from 0 to 3; 1.33 IS in the interval and we would 'fail to reject' the null

Answer 8

the wordage: accepted, is hotly debated. it carries to much connotation of something be TRUE

so we go with a conservative approach and say that we are not sure of null is correct, but theres is not sufficient evidence to reject it

hence: fail to reject is better suited than saying "accept"

Answer 9

so, which one do you conclude is the correct option here?

Answer 10

option e

Answer 11

or b

Answer 12

b seems more better

Answer 13

Is B what I should choose? I have a lot of trouble with these problems.

Answer 14

b is fine yes