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1. Because population parameters are typically unknown, we use the __________to

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Question

1. Because population parameters are typically unknown, we use the __________to estimate the value of the standard error.

2. Will the standard error always be lower than the standard deviation? Why or why not?

Which of the following examples illustrates estimation?

a. The actual percentage of unemployed Americans

b. The actual valid percentage of Republicans and Democrats who closely follow controversial political news

c. The actual average level of education in the United States

d. The percentage of Americans who favor LGBT relations as approximated by the Gallup organization

e. None of these

Explanation / Answer

Hello,

Hope you are keeping well.

1. Because population parameters are typically unknown, we use the Sample to estimate the value of the standard error.

2. Yes, the standard error will always be lower than the standard deviation. This is because the Standard Error precisely describes the mean of the sample in contrast to the mean of the population.

Examples:

a), b) and c) All these 3 require actual valid percentages and averages they can't be estimated, hence they don't illustrate estimation.

d) The percentage of Americans who favor LGBT relations as approximated by the Gallup Organisation is simply estimated because it had been approximated.

Hope it helped. Cheers!
Happy learning.