A study examined the interactions in a children\'s museum (Interactions by visit
ID: 3053512 • Letter: A
Question
A study examined the interactions in a children's museum (Interactions by visitors to the museum included show -and-tell, leaming, teaching, refocusing interactions.) Researchers observed a sample of 170 meaningful interactions, of which 81 were led by children and 89 were led by adult caregivers.Complete parts a through d below partioipatory play, advocating, and disciplining The 95% confidence interval is (Type integers or decimalis rounded to three decimal places as needed.) e. Interpret the interval, part b, in the words of the study OA. One can be 5% confident that the interval contains the sample population proportion of meanngful interactions led by children. O 3. One can be 95% confident that the interval contains the sample population proportion of meaningful interactions led by chidren. O c. One can be 5% confident that te interval contains the true population proportion of meaningful interactions led by chidren. 0 D. One can be 95% confident that the interval contains the true population proporton of meanngh? interactions led by children. d. Suppose an educator dans that the true proportion o all meaningful interactions in a children's museum that are led by ch ldren s 32%. Make an inference about this claim. O A. This claim is probably valid because 0.32 is within the limits of the confidence interval. B. The claim is probably not valid because 0,32 is not within three standard deviations of the sample mean. O C. The claim is probably valid because 0.32 is within three standard deviations of the sample mean O D. This claim is probably not valid because 0.32 is below the lower limit of the confidence interval Click to select your answers). 3 4 5 6 9Explanation / Answer
n = 170
p = 0.4765
z-value of 95% CI = 1.9600
SE = sqrt(p*(1-p)/n) = 0.03831
ME = z*SE
= 1.96 * 0.03831
= 0.07508
Lower Limit = p - ME
= 0.4765 - 0.07508
= 0.40142
Upper Limit = p + ME
= 0.4765 + 0.07508
= 0.55158
The 95% CI is(0.401, 0.552)
c)
Answer is option D)
d)
Answer is option D)
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