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Which of the following is the point estimate of the parameter stated in question 2? ㅠ f V

Which of the following is the point estimate of the parameter stated in question 2? ㅠ f V

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.5: Interpreting Data
Problem 9E
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**Statistical Analysis in Trick-or-Treating: Understanding Proportions** In this educational example, we examine how to determine the parameter of interest for a study about trick-or-treating outcomes. Specifically, the interest lies in determining the proportion of people who received fruit in addition to candy. ### Question: For all people who went trick-or-treating, of interest is to determine the proportion who received fruit in addition to candy. Using both the appropriate symbol and in words, what is the parameter of interest? - ( ) π: The number of people who received fruit in addition to candy - ( ) π: the proportion of all people who went trick-or-treating who received fruit in addition to candy - ( ) The proportion who received fruit in addition to candy - ( ) μ: the proportion of all people who went trick-or-treating who received fruit in addition to candy - (X) μ: the proportion of all people who went trick-or-treating who received fruit in addition to candy ### Explanation: In the context of this study, the parameter of interest is the proportion of all people who went trick-or-treating and received fruit in addition to candy. This is denoted by μ, the Greek letter commonly used to represent a population parameter in statistics. ### Follow-up Question: Which of the following is the point estimate of the parameter stated in question 2? - ( ) π - (X) p̂ - ( ) μ - ( ) ν ### Explanation: The correct answer here is p̂ (p-hat), which represents the point estimate of the proportion of a population based on sampled data. In statistical terms, p̂ is used to make inferences about μ, the true proportion of the population. By understanding these symbols and their meanings, students can accurately interpret and conduct statistical studies in various real-world contexts.
Transcribed Image Text:**Statistical Analysis in Trick-or-Treating: Understanding Proportions** In this educational example, we examine how to determine the parameter of interest for a study about trick-or-treating outcomes. Specifically, the interest lies in determining the proportion of people who received fruit in addition to candy. ### Question: For all people who went trick-or-treating, of interest is to determine the proportion who received fruit in addition to candy. Using both the appropriate symbol and in words, what is the parameter of interest? - ( ) π: The number of people who received fruit in addition to candy - ( ) π: the proportion of all people who went trick-or-treating who received fruit in addition to candy - ( ) The proportion who received fruit in addition to candy - ( ) μ: the proportion of all people who went trick-or-treating who received fruit in addition to candy - (X) μ: the proportion of all people who went trick-or-treating who received fruit in addition to candy ### Explanation: In the context of this study, the parameter of interest is the proportion of all people who went trick-or-treating and received fruit in addition to candy. This is denoted by μ, the Greek letter commonly used to represent a population parameter in statistics. ### Follow-up Question: Which of the following is the point estimate of the parameter stated in question 2? - ( ) π - (X) p̂ - ( ) μ - ( ) ν ### Explanation: The correct answer here is p̂ (p-hat), which represents the point estimate of the proportion of a population based on sampled data. In statistical terms, p̂ is used to make inferences about μ, the true proportion of the population. By understanding these symbols and their meanings, students can accurately interpret and conduct statistical studies in various real-world contexts.
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