Answer:
D. If the P-value for a particular test statistic is 0.33, she expects results at least as extreme as the test statistic in exactly 33 of 100 samples if the null hypothesis is true.
D. Since this event is not unusual, she will not reject the null hypothesis.
Step-by-step explanation:
Hello!
You have the following hypothesis:
H₀: ρ = 0.4
H₁: ρ < 0.4
Calculated p-value: 0.33
Remember: The p-value is defined as the probability corresponding to the calculated statistic if possible under the null hypothesis (i.e. the probability of obtaining a value as extreme as the value of the statistic under the null hypothesis).
In this case, you have a 33% chance of getting a value as extreme as the statistic value if the null hypothesis is true. In other words, you would expect results as extreme as the calculated statistic in 33 about 100 samples if the null hypothesis is true.
You didn't exactly specify a level of significance for the test, so, I'll use the most common one to make a decision: α: 0.05
Remember:
If p-value ≤ α, then you reject the null hypothesis.
If p-value > α, then you do not reject the null hypothesis.
Since 0.33 > 0.05 then I'll support the null hypothesis.
I hope it helps!
The true statement about the quadratic function is that it has two distinct real zeros
<h3>How to interpret the quadratic function?</h3>
The given parameters are:
- x-intercepts = 2 i.e. intercepts the x-axis in two places
- y-intercept = 1 i.e. intercepts the y-axis in one place
The first highlight above means that, the function can be represented as:
y = a(x - x1)(x -x2)
Where x1 and x2 are the x-intercepts
This also means that the quadratic function has two distinct real zeros
Read more about quadratic functions at:
brainly.com/question/7323175
#SPJ1
Step-by-step explanation:
1. 9
2. 105
3. 8
4.0
Mark me branliest
