Math Problem Statement
A research center claims that more than 25% of employees in a certain country have changed jobs in the past three years. In a random sample of 340 people from that country, 102 have changed jobs in the past three years. At alphaequals0.05, is there enough evidence to support the center's claim? Complete parts (a) through (d) below. Question content area bottom Part 1 (a) Identify the claim and state Upper H 0 and Upper H Subscript a. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. enter your response here% of employees in the country have changed jobs in the past three years. B. The percentage of employees in the country who have changed jobs in the past three years is not enter your response here%. C. More than 25% of employees in the country have changed jobs in the past three years. Your answer is correct.D. At most enter your response here% of employees in the country have changed jobs in the past three years. Part 2 Let p be the population proportion of successes, where a success is an employee in the country who has changed jobs in the past three years. State Upper H 0 and Upper H Subscript a. Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) A. Upper H 0: pless than enter your response here Upper H Subscript a: pgreater than or equals enter your response here B. Upper H 0: pgreater than enter your response here Upper H Subscript a: pless than or equals enter your response here C. Upper H 0: pless than or equals enter your response here Upper H Subscript a: pgreater than enter your response here D. Upper H 0: pnot equals enter your response here Upper H Subscript a: pequals enter your response here E. Upper H 0: pgreater than or equals enter your response here Upper H Subscript a: pless than enter your response here F. Upper H 0: pequals enter your response here Upper H Subscript a: pnot equals enter your response here
Solution
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Math Problem Analysis
Mathematical Concepts
Hypothesis Testing
Proportions
Normal Distribution
Formulas
z-test for Proportions
Theorems
Central Limit Theorem
Suitable Grade Level
Advanced High School or College
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