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31 May, 12:33

A confidence interval is constructed for an unknown population proportion, p. A sample is collected, and the 95% confidence interval is calculated to be 0.39 ± 0.06. Based on this information, it is most accurate to say that there is approximately 95% confidence in the assertion that:

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  1. 31 May, 12:37
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    There is 95% confidence that the true value of the population proportion is included in the interval (0.33, 0.45).

    Step-by-step explanation:

    The (1 - α) % confidence interval for population parameter implies that there is a (1 - α) probability that the true value of the parameter is included in the interval.

    Or, the (1 - α) % confidence interval for the parameter implies that there is (1 - α) % confidence or certainty that the true parameter value is contained in the interval.

    The 95% confidence interval for the population proportion is calculated to be 0.39 ± 0.06.

    The interval is:

    CI = (0.33, 0.45)

    This confidence interval implies that, there is 0.95 probability that the true value of the population proportion is included in the interval (0.33, 0.45).

    Or, there is 95% confidence that the true value of the population proportion is included in the interval (0.33, 0.45).
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