In Testing the Hypotheses H₀: P₁ - P₂ = 0

question 15

Essay

In testing the hypotheses H₀: p₁ - p₂ = 0 vs. H_a: p₁ - p₂ > 0, use the following statistics, where x₁ and x₂ represent the number of defective components found in medical instruments in the two samples.
n₁ = 200, x₁ = 80
n₂ = 400, x₂ = 140
What conclusion can we draw at the 5% significance level?
Test statistic = ______________
Critical Value(s) = ______________
Conclusion: ______________
What is the p-value of the test?
p-value = ______________
Explain how to use the p-value to test the hypotheses.
____________________________
Estimate with 95% confidence the difference between the two population proportions.
______________

Understand the concept of mean and its adjustment in response to changes in data.

Comprehend the concept of standard deviation and how it measures the spread of a dataset.

Calculate basic statistical measures: Mean, Median, Range, Variance, and Standard Deviation.

Interpret the relationship between range and standard deviation.

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