In the past, 35% of the students at ABC University were in the Business College, 35% of the students were in the Liberal Arts College, and 30% of the students were in the Education College. To see whether or not the proportions have changed, a sample of 300 students was taken. Ninety of the sample students are in the Business College, 120 are in the Liberal Arts College, and 90 are in the Education College. If the value of the test statistic is 4.99 what is the conclusion of the test? Use significance level of 1%. A. proportions have changed significantly
B. proportions have not changed significantly
C. test is inconclusive
D. None of these alternatives is correct.

Proportions have not changed significantly ( B )

Step-by-step explanation:

GIVEN DATA :

Test statistic = 4.99

significance level = 1% = 0.01

k ( number of groups ) = 3

will we use the chi-squared test to determine the degree of freedom

which is : k-1 = 3 - 1 = 2

looking at the chi-square table to determine the critical value of the test

at significance level = 0.01 and degree of freedom = 2 the critical value = 9.21

Comparing the test value ( 4.99 ) and the critical value ( 9.21 ) it can seen  that the test value < critical value  which is a condition for not rejecting null hypothesis of the test.

therefore we won't reject the null hypothesis

their is no graph showing

step-by-step explanation:

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have