In a science fair 4 4 ot 10 (2 an experiment in which she tested professional to

Question

In a science fair 4 4 ot 10 (2 an experiment in which she tested professional touch therapists to see if they could sense her energy feld She flipped a coin to solect oither her right hand a. Given that Emily used a coin toss to select either her right hand or her left hand, what proportion of correct responses (Type an integer or a decimal Donot round ) 167 times (Round to four decimal places as needed ) c. Using Emily's sample results, construct a 9S% confidence interval estimate of the propotion of conectresponses made by touch therapists D-p«D(Round to tree decimal places as needed) d. What do the results suggest about the ability of touch therapists to select the correct hand by sensing energy Selds? O A. Since the confidence interval is not entirely below 0.5, there appears to be evidence that touch therapists can select the correct hand by sensing energy felds O B. Since the confidence interval is not entirely above 0.5, there does not appear to be sufficient evidence that touch therapists can select the correcd hand by sensing energy Sild C. Since the lower confidence limit is below 05, there does not appear to be sufficient evidence that touch therapists can select the corroct hand by sensing energy fod O D. Since the upper is a confidence limit is above 05, there appears to be evidence that touch therapists can solect the corect hand by sensing energy fields

Explanation / Answer

The statistical software output for this problem is:

One sample proportion summary confidence interval:
p : Proportion of successes
Method: Standard-Wald

95% confidence interval results:

Hence,

a) Expected proportion if random guess = 0.5

b) Estimated proportion = 167/344 = 0.4855

c) 95% confidence interval:

0.433 < p < 0.538

d) Conclusion: Option B is correct.

Proportion Count Total Sample Prop. Std. Err. L. Limit U. Limit p 167 344 0.48546512 0.0269468 0.43265036 0.53827987

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