Agraduate student designs a research study. she hopes to show that the results of her experiment are statistically significant. what type of p-value indicates statistically significant results?

a large p-value.
a small p-value.

the magnitude of a p-value. has no impact on statistical significance.

A small P-value.

Step-by-step explanation:

A small P- value.

A small P- value , P-value indicates that the results are statistically significant.

P value in Statistics helps to perform hypothesis test and it helps to determine the significance of the results.

A small P- value typically (P<0.05) indicates strong evidence against the null hypothesis so, we reject the null hypothesis, on contrary when P- value is large we cannot reject the null hypothesis.  

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is