Answer:
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.
<u><em>Let p = proportion of community college students who plan to vote in the next presidential election</em></u>
So, Null Hypothesis, : p = 0.50
Alternate Hypothesis, : p > 0.50
Here, <em><u>null hypothesis states that</u></em> 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, <u><em>alternate hypothesis states that</em></u> 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 <u>One-sample z proportion statistics</u>;
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
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<em>Therefore, the above hypothesis would be correct for testing.</em>