"F soudy Based on advancements in drug therapy, a pharmaceutical company is developing Resithan, a new treatment for depression. A medical researcher for the company is studying the effectiveness of Resithan as compared to their existing drug, Exemor. A random sample of 497 depressed individuals is selected and treated with Resithan, and 265 find relief from their depression. A random sample of 416 depressed individuals is independently selected from the first sample and treated with Exemor, and 191 find relief from their depression. Based on the medical researcher's study can we conclude, at the 0.05 level of significance, that the proportion p₁ of all depressed individuals taking Resithan who find relief from depression is greater than the proportion p₂ of all depressed individuals taking Exemor who find relief from depression? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the parts below. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. 144Hz (b) Determine the type of test statistic to use. (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the p-value. (Round to three or more decimal places.) Explanation Check ▬▬ O Search μ 129 × 0=0 C X a S Â Do OSO O>O Р 5 ㅁㅁ 20 >O Terms Ⓒ2022 McGraw Hill LLC. All Rights Reserved. Terms 199 of Use of Esp 2 BRE 22 Aa Use Privacy Center
"F soudy Based on advancements in drug therapy, a pharmaceutical company is developing Resithan, a new treatment for depression. A medical researcher for the company is studying the effectiveness of Resithan as compared to their existing drug, Exemor. A random sample of 497 depressed individuals is selected and treated with Resithan, and 265 find relief from their depression. A random sample of 416 depressed individuals is independently selected from the first sample and treated with Exemor, and 191 find relief from their depression. Based on the medical researcher's study can we conclude, at the 0.05 level of significance, that the proportion p₁ of all depressed individuals taking Resithan who find relief from depression is greater than the proportion p₂ of all depressed individuals taking Exemor who find relief from depression? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the parts below. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. 144Hz (b) Determine the type of test statistic to use. (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the p-value. (Round to three or more decimal places.) Explanation Check ▬▬ O Search μ 129 × 0=0 C X a S Â Do OSO O>O Р 5 ㅁㅁ 20 >O Terms Ⓒ2022 McGraw Hill LLC. All Rights Reserved. Terms 199 of Use of Esp 2 BRE 22 Aa Use Privacy Center
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![**Educational Exercise: Statistical Hypothesis Testing**
**Context:**
Based on advancements in drug therapy, a pharmaceutical company is developing Resithan, a new treatment for depression. A medical researcher for the company is studying the effectiveness of Resithan compared to their existing drug, Exemor. In a random sample of 497 depressed individuals treated with Resithan, 265 find relief from their depression. A random sample of 416 depressed individuals is independently selected from the first sample and treated with Exemor, and 191 find relief from their depression.
Based on the medical researcher's study, the task is to conclude, at the 0.05 level of significance, whether the proportion \( p_1 \) of all depressed individuals taking Resithan who find relief from depression is greater than the proportion \( p_2 \) of all depressed individuals taking Exemor.
**Task:**
Perform a one-tailed test. Complete the steps below.
Carry your intermediate computations to three or more decimal places and round your answers as specified in the parts below. (If necessary, consult a list of formulas.)
**Steps:**
(a) **State the null hypothesis \( H_0 \) and the alternative hypothesis \( H_1 \):**
- \( H_0 \):
- \( H_1 \):
(b) **Determine the type of test statistic to use:**
- [Choose one from the drop-down menu]
(c) **Find the value of the test statistic:**
- Enter the value here (Round to three or more decimal places).
(d) **Find the \( p\)-value:**
- Enter the value here (Round to three or more decimal places).
**Diagram Explanation:**
The diagram includes input fields for hypotheses, a drop-down menu for selecting the type of test statistic, and fields for entering the test statistic and the \( p\)-value. These guide you through formulating and solving the hypothesis testing problem based on the given data.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1d0f5607-440e-4fc9-b3b1-9026504c2552%2F2dca6d89-8990-4a0e-ace7-9fbe646b36e7%2F50byvkk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Educational Exercise: Statistical Hypothesis Testing**
**Context:**
Based on advancements in drug therapy, a pharmaceutical company is developing Resithan, a new treatment for depression. A medical researcher for the company is studying the effectiveness of Resithan compared to their existing drug, Exemor. In a random sample of 497 depressed individuals treated with Resithan, 265 find relief from their depression. A random sample of 416 depressed individuals is independently selected from the first sample and treated with Exemor, and 191 find relief from their depression.
Based on the medical researcher's study, the task is to conclude, at the 0.05 level of significance, whether the proportion \( p_1 \) of all depressed individuals taking Resithan who find relief from depression is greater than the proportion \( p_2 \) of all depressed individuals taking Exemor.
**Task:**
Perform a one-tailed test. Complete the steps below.
Carry your intermediate computations to three or more decimal places and round your answers as specified in the parts below. (If necessary, consult a list of formulas.)
**Steps:**
(a) **State the null hypothesis \( H_0 \) and the alternative hypothesis \( H_1 \):**
- \( H_0 \):
- \( H_1 \):
(b) **Determine the type of test statistic to use:**
- [Choose one from the drop-down menu]
(c) **Find the value of the test statistic:**
- Enter the value here (Round to three or more decimal places).
(d) **Find the \( p\)-value:**
- Enter the value here (Round to three or more decimal places).
**Diagram Explanation:**
The diagram includes input fields for hypotheses, a drop-down menu for selecting the type of test statistic, and fields for entering the test statistic and the \( p\)-value. These guide you through formulating and solving the hypothesis testing problem based on the given data.
![**Perform a t-tailed test. Then complete the parts below.**
Carry your intermediate computations to three or more decimal places and round your answers as specified in the parts below. (If necessary, consult a list of formulas.)
(a) State the null hypothesis \( H_0 \) and the alternative hypothesis \( H_1 \).
- \( H_0: \) [ ]
- \( H_1: \) [ ]
(b) Determine the type of test statistic to use.
- [Choose one] [ ]
(c) Find the value of the test statistic. (Round to three or more decimal places.)
- [ ]
(d) Find the *p*-value. (Round to three or more decimal places.)
- [ ]
(e) Can we conclude that the proportion of depressed individuals taking Reishan who find relief is greater than the proportion taking Exemor who find relief?
- [ ] Yes
- [ ] No
**Buttons and Symbols**
To the right, there is a panel with various statistical symbols and options, such as:
- \(\mu, \sigma, p\)
- Test statistics symbols (e.g., \( \overline{x}, s, p \))
- Inequality symbols (e.g., \( <, \le, >, \ge \))
- Mathematical operations (e.g., \(\times\), \(\div\))
At the bottom of the screen, there are buttons labeled "Explanation" and "Check", which likely allow users to verify their answers or get additional help.
**Note**: This image is © 2022 McGraw Hill LLC. All Rights Reserved.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1d0f5607-440e-4fc9-b3b1-9026504c2552%2F2dca6d89-8990-4a0e-ace7-9fbe646b36e7%2Fhq69aj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Perform a t-tailed test. Then complete the parts below.**
Carry your intermediate computations to three or more decimal places and round your answers as specified in the parts below. (If necessary, consult a list of formulas.)
(a) State the null hypothesis \( H_0 \) and the alternative hypothesis \( H_1 \).
- \( H_0: \) [ ]
- \( H_1: \) [ ]
(b) Determine the type of test statistic to use.
- [Choose one] [ ]
(c) Find the value of the test statistic. (Round to three or more decimal places.)
- [ ]
(d) Find the *p*-value. (Round to three or more decimal places.)
- [ ]
(e) Can we conclude that the proportion of depressed individuals taking Reishan who find relief is greater than the proportion taking Exemor who find relief?
- [ ] Yes
- [ ] No
**Buttons and Symbols**
To the right, there is a panel with various statistical symbols and options, such as:
- \(\mu, \sigma, p\)
- Test statistics symbols (e.g., \( \overline{x}, s, p \))
- Inequality symbols (e.g., \( <, \le, >, \ge \))
- Mathematical operations (e.g., \(\times\), \(\div\))
At the bottom of the screen, there are buttons labeled "Explanation" and "Check", which likely allow users to verify their answers or get additional help.
**Note**: This image is © 2022 McGraw Hill LLC. All Rights Reserved.
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