Answer:
Option a) The probability of obtaining the sample statistic is 2%, if the null hypothesis is true.
Step-by-step explanation:
We are given that the p-value is 0.02
Converting it into percentage:

P-value can be explained as:
- P-value can be described as probability of the occurrence of a given event
- The p-value, or probability, is the probability of finding the observed results when the null hypothesis
of a study is true. - If the p-value is less than the chosen significance level then we reject the null hypothesis and accept that the sample gives reasonable evidence to support the alternative hypothesis.
- A smaller p-value means that there is stronger evidence in favor of the alternative hypothesis.
- The p-value is the probability to the right of our test statistic.
- The smaller is the p-value, the stronger are the evidence against the null hypothesis and in favor of alternative hypothesis.
Hence, Option a) correctly describes the p-values as:
The probability of obtaining the sample statistic is 2%, if the null hypothesis is true.
Answer:
Negative Correlation
Step-by-step explanation:
there is a negative correlation between the number of hours you sleep in and the number of hours you are awake during the day as the longer you are either awake or asleep the less time you will be doing the other thing
Here is a graph I made that will hopefully help you understand.
Even if I switched around the label for the x or y-axis, the correlation would still remain the same because the more you stay asleep, the less you will be awake and vice versa.
Solution :
It is given that P(x) is said to be complete or proper probability distribution if it satisfies the following two ways :
1. 
2. 
Now consider,

⇒ 
⇒ 
⇒ 
⇒ 
= 0.2
Therefore, the value of T is 0.2
Thus, option (c) is correct.
Answer:
x^2 - 12x..............................