A. B. C. D. 4. A psychologist claims that more than 45% of the population suffers from professional problems due to extreme shyness. Assuming that a hypothesis test of the claim has been conducted and that the conclusion is to reject the null hypothesis, state the conclusion about the claim in nontechnical terms. There is enough evidence to support the claim that more than 45% of the population suffers from professional problems due to extreme shyness. There is not enough evidence to reject the claim that more than 45% of the population suffers from professional problems due to extreme shyness. There is enough evidence to reject the claim that more than 45% of the population suffers from professional problems due to extreme shyness. There is not enough evidence to support the claim that more than 45% of the population suffers from professional problems due to extreme shyness.

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The image presents a flowchart that assists in determining decisions related to hypothesis testing. The process is used to evaluate statistical claims, guiding whether to support or reject a given hypothesis, \( H_0 \) (null hypothesis) or \( H_1 \) (alternative hypothesis).

### Flowchart Details:

1. **Claim is \( H_0 \):**
   - **Path 1: Reject \( H_0 \)**
     - Outcome: "There is enough evidence to reject the claim."
   - **Path 2: Do not reject \( H_0 \)**
     - Outcome: "There is not enough evidence to reject the claim."

2. **Claim is \( H_1 \):**
   - **Path 1: Reject \( H_0 \)**
     - Outcome: "There is enough evidence to support the claim."
   - **Path 2: Do not reject \( H_0 \)**
     - Outcome: "There is not enough evidence to support the claim."

The note on the left side instructs users to refer to page 415 for further guidance on summarizing results based on the nature of the claim (\( H_0 \) or \( H_1 \)) and the decision made regarding \( H_0 \).

This flowchart is designed to streamline the process of interpreting evidence in hypothesis testing scenarios by clarifying the outcomes depending on whether \( H_0 \) is rejected or not.
Transcribed Image Text:The image presents a flowchart that assists in determining decisions related to hypothesis testing. The process is used to evaluate statistical claims, guiding whether to support or reject a given hypothesis, \( H_0 \) (null hypothesis) or \( H_1 \) (alternative hypothesis). ### Flowchart Details: 1. **Claim is \( H_0 \):** - **Path 1: Reject \( H_0 \)** - Outcome: "There is enough evidence to reject the claim." - **Path 2: Do not reject \( H_0 \)** - Outcome: "There is not enough evidence to reject the claim." 2. **Claim is \( H_1 \):** - **Path 1: Reject \( H_0 \)** - Outcome: "There is enough evidence to support the claim." - **Path 2: Do not reject \( H_0 \)** - Outcome: "There is not enough evidence to support the claim." The note on the left side instructs users to refer to page 415 for further guidance on summarizing results based on the nature of the claim (\( H_0 \) or \( H_1 \)) and the decision made regarding \( H_0 \). This flowchart is designed to streamline the process of interpreting evidence in hypothesis testing scenarios by clarifying the outcomes depending on whether \( H_0 \) is rejected or not.
**Question 4:**

A psychologist claims that more than 45% of the population suffers from professional problems due to extreme shyness. Assuming that a hypothesis test of the claim has been conducted and that the conclusion is to reject the null hypothesis, state the conclusion about the claim in nontechnical terms.

**Options:**

A. There is enough evidence to support the claim that more than 45% of the population suffers from professional problems due to extreme shyness.  

B. There is not enough evidence to reject the claim that more than 45% of the population suffers from professional problems due to extreme shyness.  

C. There is enough evidence to reject the claim that more than 45% of the population suffers from professional problems due to extreme shyness.  

D. There is not enough evidence to support the claim that more than 45% of the population suffers from professional problems due to extreme shyness.
Transcribed Image Text:**Question 4:** A psychologist claims that more than 45% of the population suffers from professional problems due to extreme shyness. Assuming that a hypothesis test of the claim has been conducted and that the conclusion is to reject the null hypothesis, state the conclusion about the claim in nontechnical terms. **Options:** A. There is enough evidence to support the claim that more than 45% of the population suffers from professional problems due to extreme shyness. B. There is not enough evidence to reject the claim that more than 45% of the population suffers from professional problems due to extreme shyness. C. There is enough evidence to reject the claim that more than 45% of the population suffers from professional problems due to extreme shyness. D. There is not enough evidence to support the claim that more than 45% of the population suffers from professional problems due to extreme shyness.
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