s_m12_handouts

s_m12_handouts - Rev. F08 STA 2023 Module 12 Inferences for...

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Rev. F08 http://faculty.valenciacc.edu/ashaw/ 1 STA 2023 Module 12 Inferences for Population Proportions Rev.F08 2 Learning Objectives Upon completing this module, you should be able to: 1. Find a large-sample confidence interval for a population proportion. 2. Compute the margin of error for the estimate of a population proportion. 3. Understand the relationship between the sample size, confidence interval, and margin of error for a confidence interval for a population proportion. 4. Determine the sample size required for a specified confidence level and margin of error for the estimate of a population proportion. ht p:/ faculty. valenciacc . edu/ashaw/ Click link to download other modules. Rev.F08 3 Learning Objectives 5. Perform a large-sample hypothesis test for a population proportion. 6. Perform large-sample inferences (hypothesis test and confidence intervals) to compare two population proportions. 7. Understand the relationship between the sample sizes, confidence level, and margin of error for a confidence interval for the difference between two population proportions. 8. Determine the sample size required for a specified confidence level and margin of error for the estimate of the difference between two population proportions. ht p:/ faculty. valenciacc . edu/ashaw/ Click link to download other modules.
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http://faculty.valenciacc.edu/ashaw/ 2 Rev.F08 4 What is Population Proportion? ht p:/ faculty. valenciacc . edu/ashaw/ Click link to download other modules. In the last three modules, we examined various methods for finding confidence intervals and performing hypothesis tests for one or two population means . In this module, we are going to learn how to perform those inferences for one or two populations proportions . What is population proportion? A population proportion, p, is simply the percentage of a population that has a specified attribute. Rev.F08 5 Population Proportion and Sample Proportion In short, a sample proportion is obtained by dividing the number of members sampled that have the specified attribute (x) by the total number of members sampled (n). Sometimes, we refer to “ x ” as the number of successes and “ n - x ” as the number o failures. ht p:/ faculty. valenciacc . edu/ashaw/ Click link to download other modules. Rev.F08 6 The Sampling Distribution of the Sample Proportion ht p:/ faculty. valenciacc . edu/ashaw/ Click link to download other modules. We already know we can make inferences about a population mean from a sample mean . Similarly, we can make inferences about a population proportion from a sample proportion . To make inferences about a population mean, we must know the sampling distribution of the sample mean , that is the distribution of the sample mean. Thus, in order to make inferences about a population proportion, we
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s_m12_handouts - Rev. F08 STA 2023 Module 12 Inferences for...

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