The Los Angeles City Controller's office calculated that in 2013, the city employed 4703047030 full‑time employees and 1014210142 part‑time employees. Assume that an outside advocacy group had been lobbying the Mayor's office to convert part‑time workers into full‑time workers throughout 2014. The Controller's office makes its calculations annually. Suppose that the outside advocacy group wanted to know the proportion of city employees (excluding per‑event employees) who are full‑time employees ?p in June 2014 to gauge if their lobbying efforts had been effective. Suppose that the group surveyed a random sample of 1000 city employees (excluding per‑event employees) in June 2014 and found that 845845 were full‑time employees and 155155 were part‑time employees. If the advocacy group planned to use a one‑sample z-z-test for a proportion to test their lobbying eforts, the appropriate null hypothesis would be and the appropriate alternative hypothesis would be Assume that the Controller's office implemented a policy in January 2014 to increase the proportion of part‑time city employees in order to cut costs. Suppose that the office had access to the survey conducted by the advocacy group in June 2014 and wanted to use this survey to gauge the effect of this policy on ?,p, the proportion of full‑time employees, as of June 2014. If the Controller's office planned to use a one-sample z-z-test for a proportion to test the effect of their policy, the appropriate null hypothesis would be and the appropriate alternative hypothesis would be In 2014, the U.S. Centers for Disease Control and Prevention reported that 9.3%9.3% of Americans had diabetes in 2013. Assume that the Los Angeles Controller's office wanted to determine if the same proportion of the employees of the City of Los Angeles were diabetic. Suppose that they surveyed a random sample of 250250 employees in June 2014 and found that 2626 were diabetic. If the Controller's office planned to use a one-sample z-z-test for a proportion for their diabetes analysis, the appropriate null hypothesis would be and the appropriate alternative hypothesis would be

The Los Angeles City Controller's office calculated that in 2013, the city employed 4703047030 full‑time employees and 1014210142 part‑time employees. Assume that an outside advocacy group had been lobbying the Mayor's office to convert part‑time workers into full‑time workers throughout 2014. The Controller's office makes its calculations annually. Suppose that the outside advocacy group wanted to know the proportion of city employees (excluding per‑event employees) who are full‑time employees ?p in June 2014 to gauge if their lobbying efforts had been effective. Suppose that the group surveyed a random sample of 1000 city employees (excluding per‑event employees) in June 2014 and found that 845845 were full‑time employees and 155155 were part‑time employees. If the advocacy group planned to use a one‑sample z-z-test for a proportion to test their lobbying eforts, the appropriate null hypothesis would be and the appropriate alternative hypothesis would be Assume that the Controller's office implemented a policy in January 2014 to increase the proportion of part‑time city employees in order to cut costs. Suppose that the office had access to the survey conducted by the advocacy group in June 2014 and wanted to use this survey to gauge the effect of this policy on ?,p, the proportion of full‑time employees, as of June 2014. If the Controller's office planned to use a one-sample z-z-test for a proportion to test the effect of their policy, the appropriate null hypothesis would be and the appropriate alternative hypothesis would be In 2014, the U.S. Centers for Disease Control and Prevention reported that 9.3%9.3% of Americans had diabetes in 2013. Assume that the Los Angeles Controller's office wanted to determine if the same proportion of the employees of the City of Los Angeles were diabetic. Suppose that they surveyed a random sample of 250250 employees in June 2014 and found that 2626 were diabetic. If the Controller's office planned to use a one-sample z-z-test for a proportion for their diabetes analysis, the appropriate null hypothesis would be and the appropriate alternative hypothesis would be

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The Controller's office makes its calculations annually. Suppose that the outside advocacy group wanted to know the proportion of city employees (excluding per‑event employees) who are full‑time employees ?p in June 2014 to gauge if their lobbying efforts had been effective. Suppose that the group surveyed a random sample of 1000 city employees (excluding per‑event employees) in June 2014 and found that 845845 were full‑time employees and 155155 were part‑time employees.

If the advocacy group planned to use a one‑sample z-z-test for a proportion to test their lobbying eforts, the appropriate null hypothesis would be

and the appropriate alternative hypothesis would be

Assume that the Controller's office implemented a policy in January 2014 to increase the proportion of part‑time city employees in order to cut costs. Suppose that the office had access to the survey conducted by the advocacy group in June 2014 and wanted to use this survey to gauge the effect of this policy on ?,p, the proportion of full‑time employees, as of June 2014.

If the Controller's office planned to use a one-sample z-z-test for a proportion to test the effect of their policy, the appropriate null hypothesis would be

and the appropriate alternative hypothesis would be

In 2014, the U.S. Centers for Disease Control and Prevention reported that 9.3%9.3% of Americans had diabetes in 2013. Assume that the Los Angeles Controller's office wanted to determine if the same proportion of the employees of the City of Los Angeles were diabetic. Suppose that they surveyed a random sample of 250250 employees in June 2014 and found that 2626 were diabetic.

If the Controller's office planned to use a one-sample z-z-test for a proportion for their diabetes analysis, the appropriate null hypothesis would be

and the appropriate alternative hypothesis would be

The Los Angeles City Controller's office calculated that in 2013, the city employed 47,030 full-time employees and 10,142 part-time employees. Assume that an outside advocacy group had been lobbying the Mayor's office to convert part-time workers into full-time workers throughout 2014.

The Controller's office makes its calculations annually. Suppose that the outside advocacy group wanted to know the proportion of city employees (excluding per-event employees) who are full-time employees $ p $ in June 2014 to gauge if their lobbying efforts had been effective. Suppose that the group surveyed a random sample of 1,000 city employees (excluding per-event employees) in June 2014 and found that 845 were full-time employees and 155 were part-time employees.

If the advocacy group planned to use a one-sample z-test for a proportion to test their lobbying efforts, the appropriate null hypothesis would be $ H_0: p = 0.823 $ and the appropriate alternative hypothesis would be $ H_1: p \neq 0.823 $.

Assume that the Controller’s office implemented a policy in January 2014 to increase the proportion of full-time employees in order to cut costs. Suppose that the office had access to the survey conducted by the advocacy group in June 2014 and wanted to use this survey to gauge the effect of this policy on $ p $, the proportion of full-time employees in June 2014.

If the Controller's office planned to use a one-sample z-test for a proportion to test the effect of their policy, the appropriate null hypothesis would be $ H_0: p = 0.845 $ and the appropriate alternative hypothesis would be $ H_1: p < 0.845 $.

In this image, text and dropdown menus present a statistical exercise involving hypothesis testing. Here is a transcription and explanation suitable for an educational website:

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The Centers for Disease Control and Prevention reported that 9.3% of Americans had diabetes in 2013. A study aimed to determine if the same proportion applied to employees of the City of Los Angeles. A random sample of 250 employees was surveyed in June 2014, and it was found that 26 employees had diabetes.

The exercise involves formulating null and alternative hypotheses for statistical testing using a one-sample z-test for the proportion of diabetes among the employees. Participants must choose the correct hypotheses from dropdown menus.

### Hypothesis Options for Different Scenarios:

1. **Dropdown Menu 1:**
- $ H_0: p = 0.823 $
- $ H_0: p = 0.845 $

2. **Dropdown Menu 2:**
- $ H_1: p \neq 0.823 $
- $ H_1: p > 0.823 $
- $ H_1: p \neq 0.845 $
- $ H_1: p < 0.845 $
- $ H_1: p > 0.845 $

3. **Dropdown Menu 3:**
- $ H_0: p = 0.104 $
- $ H_0: p = 0.093 $

4. **Dropdown Menu 4:**
- $ H_1: p \neq 0.093 $
- $ H_1: p > 0.093 $
- $ H_1: p < 0.104 $
- $ H_1: p > 0.104 $

### Source Information:

- Adapted from Los Angeles Open Data.
- Adapted from Centers for Disease Control and Prevention data.

These scenarios are designed to help students understand how to construct and interpret null and alternative hypotheses based on given data and context.

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