Aresearcher obtains a negative value for chi-square statistic. what can you conclude because the value is negative?

The researcher has made a mistake chi-square statistic can never be negative

Step-by-step explanation:

Pearson's chi-squared test

Where

= Observed numbers

n = Number of observations

k = Mutually exclusive classes

= Probability of events

So, the value of χ² can never be negative otherwise χ value will be an imaginary number.

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1