The mean of the sample proportion p ^

Question

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Answer 1

Question

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Chapter 22, Problem 22.15CYS

To determine

To find: The mean of the sample proportion p^

Expert Solution & Answer

Answer to Problem 22.15CYS

Correct answer: Option (b): 0.60.

Explanation of Solution

Reason for the correct option:

The population is defined as the collection of all individuals, outcomes, items, or objects that are of interest. Here, the population is “all female Hispanic drivers”.

The population parameter is a numerical value that represents the some characteristic of a population. Here, the population proportion (p) is “60% of all female Hispanic drivers in the Boston area wear seat belts”.

The sample proportion p^ would follow approximately a normal distribution with mean 0.6.

Reason for the incorrect answer:

The Option (a) and Option (c) are incorrect, because the corresponding values are not representing the population proportion.

Therefore, the correct option is (b).

Statistics Concept Introduction

Introduction:

For large sample or repeated sample, the sampling distribution of the sample proportion in the sample is approximately normal. That is, the sample proportion p^ is approximately normal with the mean is p and the standard deviation is p(1−p)n .

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Answer 2

Question

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Chapter 22, Problem 22.15CYS

To determine

To find: The mean of the sample proportion p^

Expert Solution & Answer

Answer to Problem 22.15CYS

Correct answer: Option (b): 0.60.

Explanation of Solution

Reason for the correct option:

The population is defined as the collection of all individuals, outcomes, items, or objects that are of interest. Here, the population is “all female Hispanic drivers”.

The population parameter is a numerical value that represents the some characteristic of a population. Here, the population proportion (p) is “60% of all female Hispanic drivers in the Boston area wear seat belts”.

The sample proportion p^ would follow approximately a normal distribution with mean 0.6.

Reason for the incorrect answer:

The Option (a) and Option (c) are incorrect, because the corresponding values are not representing the population proportion.

Therefore, the correct option is (b).

Statistics Concept Introduction

Introduction:

For large sample or repeated sample, the sampling distribution of the sample proportion in the sample is approximately normal. That is, the sample proportion p^ is approximately normal with the mean is p and the standard deviation is p(1−p)n .

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 3

Question

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Chapter 22, Problem 22.15CYS

To determine

To find: The mean of the sample proportion p^

Expert Solution & Answer

Answer to Problem 22.15CYS

Correct answer: Option (b): 0.60.

Explanation of Solution

Reason for the correct option:

The population is defined as the collection of all individuals, outcomes, items, or objects that are of interest. Here, the population is “all female Hispanic drivers”.

The population parameter is a numerical value that represents the some characteristic of a population. Here, the population proportion (p) is “60% of all female Hispanic drivers in the Boston area wear seat belts”.

The sample proportion p^ would follow approximately a normal distribution with mean 0.6.

Reason for the incorrect answer:

The Option (a) and Option (c) are incorrect, because the corresponding values are not representing the population proportion.

Therefore, the correct option is (b).

Statistics Concept Introduction

Introduction:

For large sample or repeated sample, the sampling distribution of the sample proportion in the sample is approximately normal. That is, the sample proportion p^ is approximately normal with the mean is p and the standard deviation is p(1−p)n .

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 4

Question

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Chapter 22, Problem 22.15CYS

To determine

To find: The mean of the sample proportion p^

Expert Solution & Answer

Answer to Problem 22.15CYS

Correct answer: Option (b): 0.60.

Explanation of Solution

Reason for the correct option:

The population is defined as the collection of all individuals, outcomes, items, or objects that are of interest. Here, the population is “all female Hispanic drivers”.

The population parameter is a numerical value that represents the some characteristic of a population. Here, the population proportion (p) is “60% of all female Hispanic drivers in the Boston area wear seat belts”.

The sample proportion p^ would follow approximately a normal distribution with mean 0.6.

Reason for the incorrect answer:

The Option (a) and Option (c) are incorrect, because the corresponding values are not representing the population proportion.

Therefore, the correct option is (b).

Statistics Concept Introduction

Introduction:

For large sample or repeated sample, the sampling distribution of the sample proportion in the sample is approximately normal. That is, the sample proportion p^ is approximately normal with the mean is p and the standard deviation is p(1−p)n .

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

Chapter 22, Problem 22.15CYS

To determine

To find: The mean of the sample proportion p^

Expert Solution & Answer

Answer to Problem 22.15CYS

Correct answer: Option (b): 0.60.

Explanation of Solution

Reason for the correct option:

The population is defined as the collection of all individuals, outcomes, items, or objects that are of interest. Here, the population is “all female Hispanic drivers”.

The population parameter is a numerical value that represents the some characteristic of a population. Here, the population proportion (p) is “60% of all female Hispanic drivers in the Boston area wear seat belts”.

The sample proportion p^ would follow approximately a normal distribution with mean 0.6.

Reason for the incorrect answer:

The Option (a) and Option (c) are incorrect, because the corresponding values are not representing the population proportion.

Therefore, the correct option is (b).

Statistics Concept Introduction

Introduction:

For large sample or repeated sample, the sampling distribution of the sample proportion in the sample is approximately normal. That is, the sample proportion p^ is approximately normal with the mean is p and the standard deviation is p(1−p)n .

Answer 6

Chapter 22, Problem 22.15CYS

To determine

To find: The mean of the sample proportion p^

Expert Solution & Answer

Answer to Problem 22.15CYS

Correct answer: Option (b): 0.60.

Explanation of Solution

Reason for the correct option:

The population is defined as the collection of all individuals, outcomes, items, or objects that are of interest. Here, the population is “all female Hispanic drivers”.

The population parameter is a numerical value that represents the some characteristic of a population. Here, the population proportion (p) is “60% of all female Hispanic drivers in the Boston area wear seat belts”.

The sample proportion p^ would follow approximately a normal distribution with mean 0.6.

Reason for the incorrect answer:

The Option (a) and Option (c) are incorrect, because the corresponding values are not representing the population proportion.

Therefore, the correct option is (b).

Statistics Concept Introduction

Introduction:

For large sample or repeated sample, the sampling distribution of the sample proportion in the sample is approximately normal. That is, the sample proportion p^ is approximately normal with the mean is p and the standard deviation is p(1−p)n .

Answer 7

Chapter 22, Problem 22.15CYS

To determine

To find: The mean of the sample proportion p^

Answer 8

Expert Solution & Answer

Answer to Problem 22.15CYS

Correct answer: Option (b): 0.60.

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

Explanation of Solution

Reason for the correct option:

The population is defined as the collection of all individuals, outcomes, items, or objects that are of interest. Here, the population is “all female Hispanic drivers”.

The population parameter is a numerical value that represents the some characteristic of a population. Here, the population proportion (p) is “60% of all female Hispanic drivers in the Boston area wear seat belts”.

The sample proportion p^ would follow approximately a normal distribution with mean 0.6.

Reason for the incorrect answer:

The Option (a) and Option (c) are incorrect, because the corresponding values are not representing the population proportion.

Therefore, the correct option is (b).

Answer 12

Statistics Concept Introduction

Introduction:

For large sample or repeated sample, the sampling distribution of the sample proportion in the sample is approximately normal. That is, the sample proportion p^ is approximately normal with the mean is p and the standard deviation is p(1−p)n .