A researcher claims that 16% of individuals who take a particular type of drug will develop side effects. To test this claim, you form a random sample of 370 individuals who are taking this drug, of which 72 developed side effects. Test the researcher's claim at a = 0.01. a. Enter the null hypothesis for this test. Ho Select an answer b. Enter the alternative hypothesis for this test. H₁: Select an answer ?C c. Is the original claim located in the null or alternative hypothesis? Select an answer

MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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**Transcription for Educational Website:**

---

A researcher claims that 16% of individuals who take a particular type of drug will develop side effects. To test this claim, you form a random sample of 370 individuals who are taking this drug, of which 72 developed side effects. Test the researcher's claim at \( \alpha = 0.01 \).

a. Enter the null hypothesis for this test.  
\( H_0 \) Select an answer [ ]

b. Enter the alternative hypothesis for this test.  
\( H_1 \) Select an answer [ ]

c. Is the original claim located in the null or alternative hypothesis?  
Select an answer [ ]

d. What is the test statistic for the given statistics?  
[ ] 

e. What is the \( p \)-value for this test?  
[ ]

f. What is the decision based on the given statistics?  
Select an answer [ ]

g. What is the correct interpretation of this decision?

Using a [ ]% level of significance, there [ ] sufficient evidence to [ ] the claim that 16% of individuals who take a particular type of drug will develop side effects.

---

**Explanation of Diagram:**

There are no graphs or diagrams present in this image. The content primarily consists of structured questions relating to hypothesis testing.
Transcribed Image Text:**Transcription for Educational Website:** --- A researcher claims that 16% of individuals who take a particular type of drug will develop side effects. To test this claim, you form a random sample of 370 individuals who are taking this drug, of which 72 developed side effects. Test the researcher's claim at \( \alpha = 0.01 \). a. Enter the null hypothesis for this test. \( H_0 \) Select an answer [ ] b. Enter the alternative hypothesis for this test. \( H_1 \) Select an answer [ ] c. Is the original claim located in the null or alternative hypothesis? Select an answer [ ] d. What is the test statistic for the given statistics? [ ] e. What is the \( p \)-value for this test? [ ] f. What is the decision based on the given statistics? Select an answer [ ] g. What is the correct interpretation of this decision? Using a [ ]% level of significance, there [ ] sufficient evidence to [ ] the claim that 16% of individuals who take a particular type of drug will develop side effects. --- **Explanation of Diagram:** There are no graphs or diagrams present in this image. The content primarily consists of structured questions relating to hypothesis testing.
Here's the transcription of the image for educational purposes:

---

**a. Enter the null hypothesis for this test.**

\( H_0: \) [Select an answer] 

Options:
- \( \sigma \)
- \( \hat{p} \)
- \( \bar{x} \)
- \( p \)
- \( \mu \)
- \( \bar{x} \)

**b. Enter the alternative hypothesis for this test.**

\( H_1: \) [Select an answer]

Options appear to be the same as in (a).

**c. Is the original claim located in the null or alternative hypothesis?**

[Select an answer]

**d. What is the test statistic for the given statistics?**

[Text box for entering answer]

**e. What is the \( p \)-value for this test?**

[Text box for entering answer]

**f. What is the decision based on the given statistics?**

[Select an answer]

**g. What is the correct interpretation of this decision?**

---

This section is typically part of a hypothesis testing exercise in statistics, where students are asked to state the null and alternative hypotheses, identify where the original claim is located, calculate and interpret the test statistic and p-value, and make a decision based on their findings.
Transcribed Image Text:Here's the transcription of the image for educational purposes: --- **a. Enter the null hypothesis for this test.** \( H_0: \) [Select an answer] Options: - \( \sigma \) - \( \hat{p} \) - \( \bar{x} \) - \( p \) - \( \mu \) - \( \bar{x} \) **b. Enter the alternative hypothesis for this test.** \( H_1: \) [Select an answer] Options appear to be the same as in (a). **c. Is the original claim located in the null or alternative hypothesis?** [Select an answer] **d. What is the test statistic for the given statistics?** [Text box for entering answer] **e. What is the \( p \)-value for this test?** [Text box for entering answer] **f. What is the decision based on the given statistics?** [Select an answer] **g. What is the correct interpretation of this decision?** --- This section is typically part of a hypothesis testing exercise in statistics, where students are asked to state the null and alternative hypotheses, identify where the original claim is located, calculate and interpret the test statistic and p-value, and make a decision based on their findings.
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