Astronauts often report episodes of disorientation as they move around the zero

Question

Astronauts often report episodes of disorientation as they move around the zero gravity spacecraft. To compensate, crewmembers rely heavily on visualinformation to establish a top-down orientation. An empirical study was conducted to assess the potential of using color brightness as a bodyorientation cue (Human Factors, Dec. 1988). 90 college students, reclining on their backs in the dark, were disoriented when positioned on a rotating platform under a slowly rotating disk that filled their entire field of vision. Half of the disk was painted with brighter level of color that the other half. The students were asked to say, “STOP” when they believed they were right-side up, and the brightness level of the disk was recorded. Of the 90 students, 58 selected the brighter color level. Does the data support that the bright color level can be used as a body orientation cue? Test at 0.05 level of significance.

Explanation / Answer

null hypothesis: p=0.5

alternate hypoothesis: p>0.5

here sample proportion phat=58/90=0.644

std error =(p(1-p)/n)1/2 =0.0527

hence test stat z=(0.644-0.5)/0.0527 =2.741

for above p value =0.0031

as p value is less then 0.05 level ; hence we reject null hypothesis and conclude that the bright color level can be used as a body orientation cue? Test at 0.05 level of significance.

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