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Question
Math
Posted 3 months ago

Esha suspects that adults living in the northern part of her town support a new school tax more than adults in the southern part of town. She wants to take samples of adults from both parts of town and perform a twosample zz test to see if the proportion who support the tax is significantly higher in the northern part of town.

Which of the following are conditions for this type of test?
Choose all answers that apply:

A The expected counts of adults who do and do not support the tax in both samples are all at least 10.

B The adults in each sample are randomly selected from their population.

C Each sample includes the same number of adults.
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Answer from Sia
Posted 3 months ago
Solution by Steps
step 1
Identify the conditions necessary for conducting a two-sample zz test for comparing proportions
step 2
Condition A: The expected counts of adults who do and do not support the tax in both samples should be at least 10
step 3
Condition B: The adults in each sample must be randomly selected from their respective populations
step 4
Condition C: It is not necessary for each sample to include the same number of adults, although it is often desirable for increased statistical power
[question number] Answer
A and B are conditions for this type of test.
Key Concept
Conditions for a two-sample zz test
Explanation
For a two-sample zz test comparing proportions, the expected counts in each category should be at least 10, and the samples should be randomly selected. Equal sample sizes are not a requirement, although they can be beneficial.

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