Perform the Indicated Sign Test $$\alpha = 0.05$$

question 75

Essay

Perform the indicated sign test. Be sure to do the following: Identify the claim mathematically and state the null and
alternative hypotheses. Determine the critical value and find the test statistic. Decide whether to reject or fail to reject
the null hypothesis and interpret the decision in the context of the original claim.
-A college researcher claims that the median time worked by full time students is at least 10 hours per week. In
a random sample of 100 students, 59 worked more than 10 hours, 10 worked exactly 10 hours and the rest
worked less than 10 hours. Test the researcherʹs claim. Use $$\alpha = 0.05$$

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Definitions:

Alcibiades

A charismatic and controversial Athenian statesman and general, known for his shifting political allegiances during the Peloponnesian War and for his impact on Athens' military and political strategies.

Achilles

A legendary Greek hero of the Trojan War, known for his unmatched strength, bravery, and the story of his only vulnerable spot, his heel.

Linear Perspective

An artistic technique that creates the illusion of depth and volume on a flat surface by depicting objects smaller as their distance from the observer increases.

Carving Heights

Carving heights typically refers to the practice of creating art or designs by sculpting materials to a certain elevation or prominence, often seen in architecture and sculpture to emphasize grandeur or detail.