please do a through e **Understanding Hypothesis Testing in the Context of Left-Handedness**It is believed that 11% of all Americans are left-handed. A college needs to determine how many left-handed desks to place in the large lecture halls being constructed on its campus. In a random sample of 200 students from that college, whether or not a student was left-handed was recorded for each student. The college wants to know if the data provide enough evidence to show that students at this college have a lower percentage of left-handers than the general American population. This involves stating the random variable, population parameter, and hypotheses, and understanding Type I and Type II errors in this context.### a) Random Variable- **Symbol for the random variable:** $ \hat{p} $- **Contextual wording for the random variable:** The proportion of left-handed students in the sample of 200 students.### b) Population Parameter- **Symbol for the parameter:** $ p $- **Contextual wording for the parameter:** The proportion of all students at the college who are left-handed.### c) Null and Alternative Hypotheses- **Null Hypothesis ($ H_0 $):** $ p = 0.11 $ - The proportion of left-handed students at the college is equal to 11%, the national average.- **Alternative Hypothesis ($ H_A $):** $ p < 0.11 $ - The proportion of left-handed students at the college is less than 11%.### d) Type I Error- **Definition Context:** A Type I error would occur if the college concludes that the proportion of left-handed students is lower than 11% when, in fact, it is not.### e) Type II Error- **Definition Context:** A Type II error would occur if the college fails to conclude that the proportion of left-handed students is lower than 11% when, in fact, it is lower.Understanding these statistical terms helps in making informed decisions based on the hypothesis testing results.

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Description: please do a through e **Understanding Hypothesis Testing in the Context of Left-Handedness**It is believed that 11% of all Americans are left-handed. A college needs to determine how many left-handed desks to place in the large lecture halls being co

(a) Determine the symbol for the random variable involved in the problem stated. The symbol for…

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It is believed that 11% of all Americans are left-handed. A college needs to know how many left-handed desks to place in the big lecture halls being constructed on its campus. In a random sample of 200 students from that college, whether or not a student was left-handed was recorded for each student. The college wants to know if the data provide enough evidence to show that students at this college have a lower percentage of left-handers than the general American population? State the random variable, population parameter, and hypotheses. State the Type I and Type Il errors in the context of this problem. a) The symbol for the random variable involved in this problem is ? v The wording for the random variable in context is as follows: Select an answer b) The symbol for the parameter involved in this problem is ? The wording for the parameter in context is as follows: Select an answer c) Fill in the correct null and alternative hypotheses: Ho: ? HA:

It is believed that 11% of all Americans are left-handed. A college needs to know how many left-handed desks to place in the big lecture halls being constructed on its campus. In a random sample of 200 students from that college, whether or not a student was left-handed was recorded for each student. The college wants to know if the data provide enough evidence to show that students at this college have a lower percentage of left-handers than the general American population? State the random variable, population parameter, and hypotheses. State the Type I and Type Il errors in the context of this problem. a) The symbol for the random variable involved in this problem is ? v The wording for the random variable in context is as follows: Select an answer b) The symbol for the parameter involved in this problem is ? The wording for the parameter in context is as follows: Select an answer c) Fill in the correct null and alternative hypotheses: Ho: ? HA:

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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please do a through e

**Understanding Hypothesis Testing in the Context of Left-Handedness**

It is believed that 11% of all Americans are left-handed. A college needs to determine how many left-handed desks to place in the large lecture halls being constructed on its campus. In a random sample of 200 students from that college, whether or not a student was left-handed was recorded for each student. The college wants to know if the data provide enough evidence to show that students at this college have a lower percentage of left-handers than the general American population. This involves stating the random variable, population parameter, and hypotheses, and understanding Type I and Type II errors in this context.

### a) Random Variable

- **Symbol for the random variable:** $ \hat{p} $
- **Contextual wording for the random variable:** The proportion of left-handed students in the sample of 200 students.

### b) Population Parameter

- **Symbol for the parameter:** $ p $
- **Contextual wording for the parameter:** The proportion of all students at the college who are left-handed.

### c) Null and Alternative Hypotheses

- **Null Hypothesis ($ H_0 $):** $ p = 0.11 $
- The proportion of left-handed students at the college is equal to 11%, the national average.
- **Alternative Hypothesis ($ H_A $):** $ p < 0.11 $
- The proportion of left-handed students at the college is less than 11%.

### d) Type I Error

- **Definition Context:** A Type I error would occur if the college concludes that the proportion of left-handed students is lower than 11% when, in fact, it is not.

### e) Type II Error

- **Definition Context:** A Type II error would occur if the college fails to conclude that the proportion of left-handed students is lower than 11% when, in fact, it is lower.

Understanding these statistical terms helps in making informed decisions based on the hypothesis testing results.

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