The table below shows the number of students (in thousands) participating in various programs at both two-year and four-year institutions. At α = 0.05, can it be concluded that there is a relationship between program of study and type of institution?

Perform the following steps.
a. State the hypotheses and identify the claim.
b. Find the critical value.
c. Compute the test value.
d. Make the decision.
e. Summarize the results.
Use the traditional method of hypothesis testing unless otherwise specified.

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Two-year Four-year Agriculture and related sciences Criminal justice Foreign languages and literature 36 210 28 52 231 59 63 Mathematics and statistics 28