One hundred draws are made at random with replacement from box A, and 250 are made at random with replacement from box B. (a) 50 of the draws from box A are positive, compared to 131 from box B: 50.0% versus 52.4%. Is this difference real, or due to chance

Therefore WE accept the Null hypothesis That 50.0% versus 52.4%.difference is real

Step-by-step explanation:

Sample size A

Sample size B

Positive draw from box A

Positive draw from box b

Generally the equation for Probability of Positive draw from Box A is mathematically given by

Therefore

Generally the equation for Probability of Positive draw from Box A is mathematically given by

Therefore

Generally the equation for Standard error S.E is mathematically given by

Therefore

Generally

Therefore WE accept the Null hypothesis That 50.0% versus 52.4%.difference is real

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl