Math Problem Statement
In a study of cell phone usage and brain hemispheric dominance, an Internet survey was e-mailed to 6995 subjects randomly selected from an online group involved with ears. There were 1326 surveys returned. Use a 0.01 significance level to test the claim that the return rate is less than 20%. Use the P-value method and use the normal distribution as an approximation to the binomial distribution. Question content area bottom Part 1 Identify the null hypothesis and alternative hypothesis. A. Upper H 0: pless than0.2 Upper H 1: pequals0.2 B. Upper H 0: pnot equals0.2 Upper H 1: pequals0.2 C. Upper H 0: pequals0.2 Upper H 1: pgreater than0.2 D. Upper H 0: pequals0.2 Upper H 1: pless than0.2 Your answer is correct.E. Upper H 0: pgreater than0.2 Upper H 1: pequals0.2 F. Upper H 0: pequals0.2 Upper H 1: pnot equals0.2 Part 2 The test statistic is zequals enter your response here. (Round to two decimal places as needed.)
Solution
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Math Problem Analysis
Mathematical Concepts
Hypothesis Testing
Proportions
Normal Approximation to Binomial
Formulas
z = (p̂ - p₀) / sqrt((p₀ * (1 - p₀)) / n)
Theorems
Central Limit Theorem
Normal Approximation to Binomial Distribution
Suitable Grade Level
College/University Statistics
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Answer to Part (c) of Hypothesis Testing: Calculating the Test Statistic z ≈ -2.718