Math  /  Data & Statistics

Question4. You want to investigate the voter's opinions on an upcoming issue for your city. You obtain a list of the registered voters and randomly select 100 names. You contact each of the randomly chosen voters and ask for their opinion.
Select an answer Simple Random Sample Stratified Random Sample Cluster Random Sample Systematic Random Sample as a quality control specialist. You want to check the current production of factory has 5 different assembly lines. At the end of the day, you randomly ly lines and inspect each item produced by that assembly line. Convenience Sample

Studdy Solution

STEP 1

1. The problem involves selecting a specific sampling method for a given scenario.
2. The scenario describes contacting a random sample of registered voters to obtain their opinions.

STEP 2

1. Understand the definitions of each sampling method.
2. Identify the characteristics of the given sampling scenario.
3. Compare the scenario to the definitions to select the appropriate sampling method.

STEP 3

Understand the definition of a Simple Random Sample (SRS).
A Simple Random Sample means each member of the population has an equal chance of being selected, and the selection of one member does not influence the selection of another.

STEP 4

Understand the definition of a Stratified Random Sample.
A Stratified Random Sample involves dividing the population into subgroups (strata) based on a characteristic, then randomly sampling from each subgroup.

STEP 5

Understand the definition of a Cluster Random Sample.
A Cluster Random Sample involves dividing the population into clusters (groups), randomly selecting some clusters, and then sampling all members within those clusters.

STEP 6

Understand the definition of a Systematic Random Sample.
A Systematic Random Sample involves selecting every kthk^{th} member of the population after a random start.

STEP 7

Understand the definition of a Convenience Sample.
A Convenience Sample involves selecting members of the population that are easiest to reach.

STEP 8

Identify the characteristics of the given sampling scenario.
The scenario describes obtaining a list of registered voters and randomly selecting 100 names from this list to ask for their opinion.

STEP 9

Compare the scenario to the definitions of each sampling method.
The scenario involves randomly selecting names from a list, without mention of subgroups, clusters, systematic intervals, or convenience.

STEP 10

Determine the appropriate sampling method based on the scenario characteristics.
The method that best matches randomly selecting names from a list of registered voters is the Simple Random Sample.
Solution: The appropriate answer is Simple Random Sample.

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