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

Ask a new question for Free

By Image

Drop file here or Click Here to upload

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