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The owner of a large fast food chain is considering whether to re-open the dining rooms of his restaurants now that it is legal in the state of Georgia. He is interested to know what percentage of his employees support the re-opening, so he decides to conduct a survey. (a) Which of the following plans would be more likely to produce a sample statistic very close to the true percentage who support re-opening? A simple random sample of 34 employees A simple random sample of 340 employees Both plans are equally likely to get this result, since they are both random samples. (b) He thinks it would be easier to sample employees by randomly selecting franchise locations (individual restaurants) and asking managers to administer surveys to all the workers at the selected restaurants, what kind of sampling method should he use? a) Cluster sample b) Systematic sample c) Convenience sample d) Stratified sample

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Answer:

a) A simple random sample of 340 employees

b) a) Cluster sample

Explanation:

a) Remember, the sample size of most research work is a factor to consider in other to determine if the data collected represents the true percentage of the entire population.

Hence, a small random sample of 34 employees will not give more precise information than a larger sample of 340 employees because the larger sample contains more representation of the population.

b) A cluster sample is best used in this case because it involves dividing the population into several clusters or groups, then the researcher randomly selects a particular cluster or group in other collect research data for analysis.

Whereas in this case, the randomly selected clusters are the different (individual restaurant) franchise locations.

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