Corey wants to use a one-sample z interval to estimate the proportion of his coworkers who drink coffee every morning. He takes an SRS of 10 of his 50 total coworkers and finds that 6 of those sampled drink coffee every morning.

Which conditions for constructing this confidence interval did Corey's sample meet?

Choose all answers that apply:

A. The data is a random sample from the population of interest.

B.
[tex]np \: \geqslant 10 \: and \: n(1 - p) \geqslant 10[/tex]
C. individual observation can be considered independent

Question

sebas302090 sebas302090

13-06-2022
Mathematics

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Corey wants to use a one-sample z interval to estimate the proportion of his coworkers who drink coffee every morning. He takes an SRS of 10 of his 50 total coworkers and finds that 6 of those sampled drink coffee every morning.

Which conditions for constructing this confidence interval did Corey's sample meet?

Choose all answers that apply:

A. The data is a random sample from the population of interest.

B.
[tex]np \: \geqslant 10 \: and \: n(1 - p) \geqslant 10[/tex]
C. individual observation can be considered independent

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okpalawalter8 okpalawalter8 · Answer 1 · 2022-06-15T19:44:00+02:00

Corey wants to use a one-sample z interval .... those sampled drink coffee every morning. The conditions for the construction of this confidence interval that Corey's sample meet was "The data is a random sample from the population of interest" Option A. This is further explained below.

What is a confidence interval?

Generally, the confidence interval is simply defined as the range of values for a parameter such that some probability p that the parameter's value resides within that range is stated.

In conclusion, This information is a statistically valid representation of the int population as a whole. Corey's data satisfied the criteria that "The data is a random sample from the population of interest" for constructing the confidence interval.