Answered: cience fair project, Emily conducted…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 11CYU

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In a science fair project, Emily conducted an 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 Emily's hand without seeing it and without touching it. Among

316

trials, the touch therapists were correct

145

times. Complete parts (a) through (d).

a. Given that Emily used a coin toss to select either her right hand or her left hand, what proportion of correct responses would be expected if the touch therapists made random guesses?

0.50.5

(Type an integer or a decimal. Do not round.)

b. Using Emily's sample results, what is the best point estimate of the therapists' success rate?

0.4590.459

(Round to three decimal places as needed.)

c. Using Emily's sample results,

construct

95%

confidence interval estimate of the proportion of correct responses made by touch therapists.

0.4040.404<p<0.5140.514

(Round to three decimal places as needed.)

d. What do the results suggest about the ability of touch therapists to select the correct hand by sensing energy fields?

Since the upper confidence limit is above 0.5, there appears to be evidence that touch therapists can select the correct hand by sensing energy fields.

Since the confidence interval is not entirely above 0.5, there does not appear to be sufficient evidence that touch therapists can select the correct hand by sensing energy fields.

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 fields.

Since the lower confidence limit is below 0.5, there does not appear to be sufficient evidence that touch therapists can select the correct hand by sensing energy fields.

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