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A school district is considering a change that would involve switching the daily start times for its elementary and
high schools. Administration wants to take a sample of parents from each type of school and perform a two-
sample test to see if the proportion who support the change is significantly different between the two groups.
Which of the following are conditions for this type of test?

Respuesta :

Using the Central Limit Theorem, it is found that each random sample must have at least 10 parents supporting the change and 10 opposing.

What does the Central Limit Theorem state?

It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].

For the test hpyothesis, two conditions are needed:

  • Random samples.
  • The sampling distribution must be approximately normal.

Hence each random sample must have at least 10 parents supporting the change and 10 opposing.

More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213

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