Math Problem Statement
Less than 87% of workers indicate that they are mildly dissatisfied with their job. Express the null and alternative hypotheses in symbolic form for this claim (enter as a percentage).
Use the following codes to enter the following symbols: enter >= enter <= enter !=
Solution
To express the null and alternative hypotheses in symbolic form, we define as the proportion of workers who indicate that they are mildly dissatisfied with their job.
The hypotheses are as follows:
-
Null hypothesis : The proportion of workers who are mildly dissatisfied is greater than or equal to 87%.
-
Alternative hypothesis : The proportion of workers who are mildly dissatisfied is less than 87%.
Would you like a detailed explanation of hypothesis testing or have any other questions?
Here are five related questions:
- What are the key steps in conducting a hypothesis test for population proportions?
- How do you calculate the test statistic for a proportion hypothesis test?
- What is the significance level () in hypothesis testing?
- How is the p-value interpreted in hypothesis testing?
- What is the difference between a one-tailed and two-tailed test?
Tip: Always clearly define the parameter of interest (like the proportion ) before formulating hypotheses.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Hypothesis Testing
Population Proportion
Formulas
Null hypothesis H₀: p ≥ 87%
Alternative hypothesis H₁: p < 87%
Theorems
Proportion Hypothesis Testing Theorem
Suitable Grade Level
Undergraduate
Related Recommendation
Hypothesis Testing for Workers' Job Satisfaction with a z-test
Hypothesis Testing for Proportion of Workers Networking to Get Jobs
Hypothesis Test for Job Satisfaction Proportions
Express Null and Alternative Hypotheses for Job Ads Percentage Claim
Hypothesis Testing for Proportion of Smokers among Educated Adults