An article in the Washington Post on March 16, 1993 stated that nearly 45 percent of all Americans have brown eyes. A random sample of n = 80 C of I students found 30 with brown eyes. We test Ho: p= .45 Ha:p.45 (a) What is the z-statistic for this test? (b) What is the P-value of the test?

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**Title: Hypothesis Testing Example: Brown Eye Color in Americans**

An article in the Washington Post on March 16, 1993, stated that nearly 45 percent of all Americans have brown eyes. A random sample of \( n = 80 \) University of Illinois students found 30 with brown eyes. 

**Hypothesis Test:**

- Null Hypothesis (\( H_0 \)): \( p = 0.45 \)
- Alternative Hypothesis (\( H_a \)): \( p \neq 0.45 \)

**Questions:**

(a) What is the \( z \)-statistic for this test? \[  \boxed{} \]

(b) What is the P-value of the test? \[  \boxed{} \]
Transcribed Image Text:**Title: Hypothesis Testing Example: Brown Eye Color in Americans** An article in the Washington Post on March 16, 1993, stated that nearly 45 percent of all Americans have brown eyes. A random sample of \( n = 80 \) University of Illinois students found 30 with brown eyes. **Hypothesis Test:** - Null Hypothesis (\( H_0 \)): \( p = 0.45 \) - Alternative Hypothesis (\( H_a \)): \( p \neq 0.45 \) **Questions:** (a) What is the \( z \)-statistic for this test? \[ \boxed{} \] (b) What is the P-value of the test? \[ \boxed{} \]
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