(a) State the null hypothesis Ho and the alternative hypothesis H₁. Ho :D H₁₂ : 0 (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.) H X S 0=0 sa X OSO ☐#0 0<0 Ś

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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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 414 depressed individuals is selected and treated with Resithan, and 191 find relief from their depression. A random sample of 557 depressed individuals is independently selected from the first sample and treated with Exemor, and 213 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 \( p_1 \) of all depressed individuals taking Resithan who find relief from depression is greater than the proportion \( p_2 \) of all depressed individuals taking Exemor 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 \( H_0 \) 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.)

\[ \]

The interface includes buttons and options for input of statistical symbols and test types.
Transcribed Image Text: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 414 depressed individuals is selected and treated with Resithan, and 191 find relief from their depression. A random sample of 557 depressed individuals is independently selected from the first sample and treated with Exemor, and 213 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 \( p_1 \) of all depressed individuals taking Resithan who find relief from depression is greater than the proportion \( p_2 \) of all depressed individuals taking Exemor 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 \( H_0 \) 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.) \[ \] The interface includes buttons and options for input of statistical symbols and test types.
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### Statistical Analysis Exercise

#### Problem Statement:
Analyze the effect of two medications on depression relief and make statistical conclusions based on given criteria.

#### Tasks:

(d) **Find the p-value.**

   - Instruction: Round to three or more decimal places.
   - Input box provided to enter the calculated p-value.

(e) **Comparison Question:**

   "Can we conclude that the proportion of depressed individuals taking Resithan who find relief is greater than the proportion taking Exemor who find relief?"

   - Options:
     - Yes
     - No

#### Interface:
- Buttons available:
  - **Explanation**: Offers a detailed explanation of the solution process.
  - **Check**: Evaluates the entered or selected answer for correctness.

#### Note:
This exercise is designed to help students practice hypothesis testing, specifically focusing on comparing the effectiveness of two treatments using statistical methods.
Transcribed Image Text:### Statistical Analysis Exercise #### Problem Statement: Analyze the effect of two medications on depression relief and make statistical conclusions based on given criteria. #### Tasks: (d) **Find the p-value.** - Instruction: Round to three or more decimal places. - Input box provided to enter the calculated p-value. (e) **Comparison Question:** "Can we conclude that the proportion of depressed individuals taking Resithan who find relief is greater than the proportion taking Exemor who find relief?" - Options: - Yes - No #### Interface: - Buttons available: - **Explanation**: Offers a detailed explanation of the solution process. - **Check**: Evaluates the entered or selected answer for correctness. #### Note: This exercise is designed to help students practice hypothesis testing, specifically focusing on comparing the effectiveness of two treatments using statistical methods.
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