question archive A random sample of 211 moviegoers was taken from a local movie theatre over the course of a week

A random sample of 211 moviegoers was taken from a local movie theatre over the course of a week

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A random sample of 211 moviegoers was taken from a local movie theatre over the course of a week. The sample was asked whether or not they would consider attending a live broadcast of a music concert at the theatre. Suppose that, based on this data, the 95% confidence interval that was created from this data was (.411,.546). Which of the following statements is the best interpretation of this interval?

Group of answer choices

There is a 95% chance that between 41.1% and 54.6% of the moviegoers we sampled at this theatre would consider attending a live broadcast of a music concert.

We can be 95% confident that between 41.1% and 54.6% of the moviegoers we sampled at this theatre would consider attending a live broadcast of a music concert.

There is a 95% chance that between 41.1% and 54.6% of all moviegoers at this theatre would consider attending a live broadcast of a music concert.

We can be 95% confident that between 41.1% and 54.6% of all moviegoers at this theatre would consider attending a live broadcast of a music concert.

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