A 9-year-old girl did a science fair experiment in which she tested professional touch therapists to see if they could sense her energy field. She flipped a coin to select either her right hand or her left hand, and then she asked the therapists to identify the selected hand by placing their hand just under her hand without seeing it and without touching it. Among 293 trials, the touch therapists were correct 115 times. Use a 0.01 significance level to test the claim that touch therapists use a method equivalent to random guesses. Do the results suggest that touch therapists are effective? Identify the null and alternative hypotheses for this test. Choose the correct answer below. O A. H, p=0.5 H:p<0.5 O B. H, p#0.5 H,:p=0.5 OC. Ho: p= 0.5 H;: p#0.5 OD. Ho: p=0.5 H,: p>0.5 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is (Round to two decimal places as needed.) Identify the P-value for this hypothesis test. The P-value for this hypothesis test is (Round to three decimal places as needed.) Identify the conclusion for this hypothesis test. O A. Reject Ho There is not sufficient evidence to warrant rejection of the claim that touch therapists use a method equivalent to random guesses. O B. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that touch therapists use a method equivalent to random guesses. O C. Reject Ho. There is sufficient evidence to warrant rejection of the claim that touch therapists use a method equivalent to random guesses. O D. Fail to reject Ho. There is not sufficient evidence to warrant rejection of the claim that touch therapists use a method equivalent to random guesses. Do the results suggest that touch therapists are effective? The results suggest that the touch therapists performed V random guesses, so they V to be effective.

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last sentence part says (Worse than / Better than / Similar) and (Appear / Does not appear) 

 

### Science Fair Experiment Analysis

A 9-year-old girl conducted a science fair experiment to test whether professional touch therapists can sense her energy field. She randomly selected either her right or left hand by flipping a coin and asked the therapists to identify the chosen hand by placing their hand just under her hand without seeing or touching it. Out of 293 trials, the therapists were correct 115 times. We are using a 0.01 significance level to test if touch therapists employ a method better than random guessing. 

#### Hypotheses

Identify the null and alternative hypotheses for this test. Choose the correct answer below:

- **A.** \(H_0: p = 0.5\)  
  \(H_1: p < 0.5\)

- **B.** \(H_0: p \neq 0.5\)  
  \(H_1: p = 0.5\)

- **C.** \(H_0: p = 0.5\)  
  \(H_1: p \neq 0.5\)

- **D.** \(H_0: p = 0.5\)  
  \(H_1: p > 0.5\)

#### Test Statistic

Calculate the test statistic for this hypothesis test and round to two decimal places as needed.

- **Test Statistic:** [ ]

#### P-Value

Determine the P-value for this hypothesis test and round to three decimal places as needed.

- **P-value:** [ ]

#### Conclusion

Identify the conclusion for this hypothesis test:

- **A.** Reject \(H_0\). There is not sufficient evidence to warrant rejection of the claim that touch therapists use a method equivalent to random guesses.

- **B.** Fail to reject \(H_0\). There is sufficient evidence to warrant rejection of the claim that touch therapists use a method equivalent to random guesses.

- **C.** Reject \(H_0\). There is sufficient evidence to warrant rejection of the claim that touch therapists use a method equivalent to random guesses.

- **D.** Fail to reject \(H_0\). There is not sufficient evidence to warrant rejection of the claim that touch therapists use a method equivalent to random guesses.

#### Effectiveness Conclusion

Do the results suggest that touch therapists are effective?

- The results suggest that the touch therapists performed [ ] random guesses, so they [ ] to be effective
Transcribed Image Text:### Science Fair Experiment Analysis A 9-year-old girl conducted a science fair experiment to test whether professional touch therapists can sense her energy field. She randomly selected either her right or left hand by flipping a coin and asked the therapists to identify the chosen hand by placing their hand just under her hand without seeing or touching it. Out of 293 trials, the therapists were correct 115 times. We are using a 0.01 significance level to test if touch therapists employ a method better than random guessing. #### Hypotheses Identify the null and alternative hypotheses for this test. Choose the correct answer below: - **A.** \(H_0: p = 0.5\) \(H_1: p < 0.5\) - **B.** \(H_0: p \neq 0.5\) \(H_1: p = 0.5\) - **C.** \(H_0: p = 0.5\) \(H_1: p \neq 0.5\) - **D.** \(H_0: p = 0.5\) \(H_1: p > 0.5\) #### Test Statistic Calculate the test statistic for this hypothesis test and round to two decimal places as needed. - **Test Statistic:** [ ] #### P-Value Determine the P-value for this hypothesis test and round to three decimal places as needed. - **P-value:** [ ] #### Conclusion Identify the conclusion for this hypothesis test: - **A.** Reject \(H_0\). There is not sufficient evidence to warrant rejection of the claim that touch therapists use a method equivalent to random guesses. - **B.** Fail to reject \(H_0\). There is sufficient evidence to warrant rejection of the claim that touch therapists use a method equivalent to random guesses. - **C.** Reject \(H_0\). There is sufficient evidence to warrant rejection of the claim that touch therapists use a method equivalent to random guesses. - **D.** Fail to reject \(H_0\). There is not sufficient evidence to warrant rejection of the claim that touch therapists use a method equivalent to random guesses. #### Effectiveness Conclusion Do the results suggest that touch therapists are effective? - The results suggest that the touch therapists performed [ ] random guesses, so they [ ] to be effective
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