Astronaunts often report that there are times when they become disoriented as they move around in zero-gravity. Therefore, they ususally rely on bright colors and other visual information to help them estabish a top-down orientation. A study was conducted to assses the potential of using color as body orienting. $65$ college students, reclining on their backs in the dark, found it difficult to establish orientation when positioned on under a rotating disk. This rotating disk was painted half black and half white. Out of the $65$ students, $54$ believed they were right side up when the white was on top.

Use this information to estimate the true proportion of subjects who use the white color as a cue for right-side-up orientation. That is, construct a $80$% confidence interval for the true proportion.
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