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Suppose Devonna owns a national chain of day care centers. She believes that 62%

ID: 3319945 • Letter: S

Question

Suppose Devonna owns a national chain of day care centers. She believes that 62% of her students have been to the beach in the last year. She samples 152 children who are enrolled in her 14 day care centers in the state of North Carolina and finds out that 48 have been to the beach in the last year. From this data, she calculates the zstatistic. Next, she wants to calculate the zconfidence interval for the proportion. Indicate whether or not the requirements for the zconfidence interval for a proportion have been met, and select the reason or reasons why the requirements have or have not been met.

The requirements ( have/ have not )

been met because

there are not at least 10 successes and 10 failures.

the setting is not binomial.

the setting is binomial.

there are at least 10 successes and 10 failures.

the sample is not random.

the sample is random.

Explanation / Answer

The requirement has been met because:

the setting is binomial.

there are at least 10 successes and 10 failures.

the sample is random.

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