The horizontal axis in the sampling distribution of ModifyingAbove p with caret represents all possible sample proportions from a simple random sample of size n. Bold (a )What percent of sample proportions results in a 99% confidence interval that includes the population proportion? Bold (b )What percent of sample proportions results in a 99% confidence interval that does not include the population proportion?

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22-01-2020
Mathematics

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The horizontal axis in the sampling distribution of ModifyingAbove p with caret represents all possible sample proportions from a simple random sample of size n. Bold (a )What percent of sample proportions results in a 99% confidence interval that includes the population proportion? Bold (b )What percent of sample proportions results in a 99% confidence interval that does not include the population proportion?

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Preciousorekha1 Preciousorekha1 · Answer 1 · 2020-01-23T22:51:58+01:00

Answer: (a). 99 percent of the sample proportions results in a 99% confidence interval that includes the population proportion.

(b). 1 percent of the sample proportions results in a 99% confidence interval that does not include the population proportion.

Step-by-step explanation:

(a). 99 percent of the sample proportions results in a 99% confidence interval that includes the population proportion.

Explanation: If multiple samples were drawn from the same population and a 99% CI calculated for each sample, we would expect the population proportion to be found within 99% of these confidence intervals.

(b). 1 percent of the sample proportions results in a 99% confidence interval that does not include the population proportion.

Explanation: The 99% of the confidence intervals includes the population proportion value, it means, the remaining (100% – 99%) 1% of the intervals does not includes the population proportion.

If multiple samples were drawn from the same population and a 99% CI calculated for each sample, we would expect the population proportion to be found within 99% of these confidence intervals and 1 percent of the sample proportions results in a 99% confidence interval that does not include the population proportion.

aksnkj aksnkj · Answer 2 · 2021-10-08T18:21:41+02:00

Answer:

(a). 99 percent of the sample proportions results in a 99% confidence interval that includes the population proportion.

(b). 1 percent of the sample proportions results in a 99% confidence interval that does not include the population proportion.

Step-by-step explanation:

(a). 99 percent of the sample proportions results in a 99% confidence interval that includes the population proportion.

Explanation: If multiple samples were drawn from the same population and a 99% CI calculated for each sample, we would expect the population proportion to be found within 99% of these confidence intervals.

(b). 1 percent of the sample proportions results in a 99% confidence interval that does not include the population proportion.

Explanation: The 99% of the confidence intervals includes the population proportion value, it means, the remaining (100% - 99%) 1% of the intervals does not includes the population proportion.

If multiple samples were drawn from the same population and a 99% CI calculated for each sample, we would expect the population proportion to be found within 99% of these confidence intervals and 1 percent of the sample proportions results in a 99% confidence interval that does not include the population proportion.

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