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One-hundred and twenty subjects participated in the experiment, Sixty men and sixty women, were given the “water-level task” to test their perceptual and conceptual skills. Subjects were shown a drawing of a glass titled at a 45 degree angle. They were then asked to draw a line representing the surface of the water. The researchers recorded whether or not the line drawn was within 5 degrees of the true line.  These are the results of people who were within the 5 degrees. Are the proportions the same?

Table of summary for two proportions
  x n
Women 24 60
Men 39 60

Apply a two-sided hypothesis procedures to test for a difference in proportions.

 

The first Step before calculating the test statistic for the above problem, is to find the proportion statistics. 

p_hat women = 24/60  =  0.4

p_hat men =  0.65

 

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