Aresearcher is interested in determining if the more than two thirds of students would support making the tuesday before a holiday. the researcher asks 1,000 random selected students if they would support making the tuesday before a holiday. seven hundred students said that they would support the extra holiday.

define the parameter.

a. p = the population proportion of uf students who would support making the tuesday before break a holiday.

b. phat = the sample proportion of 700 uf students who would support making the tuesday before break a holiday.

c. phat = the population proportion of uf students who would support making the tuesday before break a holiday.

d. p = the population proportion of 700 uf students who would support making the tuesday before break a holiday.

The parameter from the question given out of the number of those surveyed and those who said they would support the extra holiday is defined;

Option A; p = the population proportion of UF students who would support making the Tuesday before Thanksgiving break a holiday.

This is a binomial probability distribution problem.

We are given the sample size of n = 1000

We are also told that 700 students will support the extra holiday.

Now, the formula for binomial probability distribution is;

P(X = x) = ⁿCₓ × pˣ × q⁽ⁿ ⁻ ˣ⁾

Where;

p is probability of success

q is probability of failure

n is the number of trials

From this question, p = 700/1000 which will be the population proportion

Now, looking at the given options, we can conclude that the correct one that corresponds with our answer is Option A.

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a. p = the population proportion of UF students who would support making the Tuesday before Thanksgiving break a holiday.

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they are in favor of making the Tuesday before Thanksgiving a holiday, or they are against. This means that we can solve this problem using concepts of the binomial probability distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which is the number of different combinatios of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.

So, the binomial probability distribution has two parameters, n and p.

In this problem, we have that and . So the parameter is

a. p = the population proportion of UF students who would support making the Tuesday before Thanksgiving break a holiday.