Hen writing a set of hypotheses for a situation, which of the following is true? the null hypothesis is a claim the researcher is trying to prove. the null hypothesis is always supported by the data the alternate hypothesis is a claim the researcher is trying to prove. the alternate hypothesis is always supported by the data.

True statements:

Option B)  The null hypothesis is always supported by the data

Option C)  The alternate hypothesis is a claim the researcher is trying to prove.

Step-by-step explanation:

We have find the statements which are true.

A)  The null hypothesis is a claim the researcher is trying to prove.

The given statement is false.

As the claim is proved with the help of sample and the null hypothesis always states the equality to the population from which the sample is being taken.

B) The null hypothesis is always supported by the data

The statement is true as null hypothesis states about the population and as in correspondence with the data that is the population.

C) The alternate hypothesis is a claim the researcher is trying to prove.

The given statement is true, the claim is proved with the help of a sample taken from the population. This is described by the alternate hypothesis. The alternate hypothesis describes the sample.

D) The alternate hypothesis is always supported by the data.

The given statement is false as the data is about the population. Alternate hypothesis always supports the sample we are talking about.

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet