Researchers conducted a study to determine whether the majority of community college students plan to vote in the next presidential election. They surveyed 650 randomly selected community college students and found that 55% of them plan to vote.
1. Give the null and alternative hypotheses for this research question.
a. H0: p = 0.50 and Ha: p /= 0.50.
b. H0: p = 0.50 and Ha: p > 0.50.
c. H0: p = 0.55 and Ha: p /= 0.55.
d. H0: μ = 0.55 and Ha: μ > 0.55.

Null Hypothesis, : p = 0.50

Alternate Hypothesis, : p > 0.50

Step-by-step explanation:

We are given that Researchers conducted a study to determine whether the majority of community college students plan to vote in the next presidential election.

They surveyed 650 randomly selected community college students and found that 55% of them plan to vote.

Let p = proportion of community college students who plan to vote in the next presidential election

So, Null Hypothesis, : p = 0.50

Alternate Hypothesis, : p > 0.50

Here, null hypothesis states that the proportion of community college students who plan to vote in the next presidential election is equal to 50% or 0.50.

On the other hand, alternate hypothesis states that the proportion of community college students who plan to vote in the next presidential election is greater than 50% or 0.50 which means there is majority.

Also, the test statistics that would be used here is One-sample z proportion statistics;

                       T.S.  =    ~ N(0,1)

where,   = sample proportion of community college students who plan to vote in the next presidential election in a sample of 650 selected = 55%

            n = sample of students = 650

Therefore, the above hypothesis would be correct for testing.

y=-2.5x+12.5

step-by-step explanation:

5y=2x+10

y=0.4x+2

slope=-2.5

5=-2.5*3+b

b=12.5