In Testing the Hypotheses

question 5

Essay

In testing the hypotheses:
H₀: p₁ - p₂ = 0.10
H_A: p₁ - p₂ > 0.10,
we found the following statistics:
n₁ = 350, x₁ = 178.
n₂ = 250, x₂ = 112.
a. What is the p-value of the test?
b. Use the p-value to test the hypotheses at the 10% level of significance.
c. Estimate with 90% confidence the difference between the two population proportions.

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Definitions:

Democratic Party

One of the two major contemporary political parties in the United States, traditionally associated with progressive and liberal policies.

1948 Convention

Likely refers to the Universal Declaration of Human Rights adopted by the United Nations General Assembly in 1948, setting a standard for human rights.

Civil Rights

The rights of citizens to political and social freedom and equality, often protected by law and central to debates over justice, democracy, and societal progress.

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Harry S. Truman, the 33rd President of the United States, who served from 1945 to 1953 and is known for ending World War II by using atomic bombs on Japan.