If the level of significance (alpha) is 0.05, it means that the probability of rejecting the null hypothesis, when it is false, is 5%. the probability of rejecting the alternate hypothesis, when it is true, is 5%. the probability of rejecting the alternate hypothesis, when it is false, is 5%. the probability of rejecting the null hypothesis, when it is true, is 5%.

The probability of rejecting the null hypothesis, when it is true, is 5%.

Step-by-step explanation:

We know that the level of significance ( denoted as ) is generally the probability of rejecting the null hypothesis when it is true.

Therefore , If the level of significance (\alpha[/tex] ) 0.05, then it means that it is the probability of rejecting the null hypothesis when it is true.

i.e. The probability of rejecting the null hypothesis when it is true= 0.05

In percent :

Hence, the correct option is : The probability of rejecting the null hypothesis when it is true is 5%.

20%

step-by-step explanation:

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for