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For the statement below, write the claim as a mathematical statement. Use proportions to state the null andalternative hypotheses, and identify which represents the claimAccording to a recent survey, 70% of college students did not use student loans to pay for college.

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SOLUTION

Given the question, the following are the solution steps to answer the question.

STEP 1: Write the given claim

According to a recent survey, 70% of college students did not use student loans to pay for college.

STEP 2: Find the population proportion

According to a recent survey, 70% of college students did not use student loans to pay for college.

Let p be the proportion of college students who did not use student loans to pay for college.

Population proportion P = 70% or 0.70

Hence, the answer will be given as:


\begin{gathered} Null\text{ hypothesis}\Rightarrow P=0.70 \\ Alternative\text{ hypothesis}\Rightarrow P0.70 \end{gathered}

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