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 260? trials, the touch therapists were correct 104 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.

A. Upper H 0?: p=0.5 Upper H 1?: p greater than 0.5B. Upper H 0?: p equals 0.5 Upper H 1?: p not equals 0.5C. Upper H 0?: p not equals 0.5 Upper H 1?: p equals 0.5D. Upper H 0?: p equals 0.5 Upper H 1?: p less than 0.5

Question

Mathematics

Maren Carrillo

7 January, 02:56

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 260? trials, the touch therapists were correct 104 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.

A. Upper H 0?: p=0.5 Upper H 1?: p greater than 0.5B. Upper H 0?: p equals 0.5 Upper H 1?: p not equals 0.5C. Upper H 0?: p not equals 0.5 Upper H 1?: p equals 0.5D. Upper H 0?: p equals 0.5 Upper H 1?: p less than 0.5

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Answers (1)

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Natasha Pratt · Answer 1

The correct option is option c.

H0: p not equal to 0.5

H1: p equal to 0.5

Step-by-step explanation:

1. H0: p not equal to 0.5

H1: p equal to 0.5

2. P cap = 104 / 260

P cap = 0.4. (where p cap is the sample proportion)

3. Find the test statistic

Using : Z = (p cap - p) / √ [ (p * q) / n] where p = 0.5 q = 1-p = 0.5. n=260

Z = - 3.23

4. P value = 0.006

5. Since p value is less than the alpha level (0.01). we reject the null hypothesis and conclude that the touch therapists are not effective.