Math Problem Statement

Report the critical value for the following hypothesis test question?

For a two tale test and right tale test report the positive value.

For a left tale test report the negative value.

A student advisor is interested to see if students finish their studies in more than 4 years. A sample of 40 students is taken. 18 of them have finished studies in more than 4 years.

We want to be 90% certain.

Answer:

Solution

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Math Problem Analysis

Mathematical Concepts

Hypothesis Testing
Proportions
Critical Values
Z-test

Formulas

Z = (p̂ - p0) / sqrt[(p0(1-p0))/n]
Critical value from Z-table

Theorems

Central Limit Theorem

Suitable Grade Level

Undergraduate Statistics