Consider the following scenario. A new species of aliens was…
Consider the following scenario. A new species of aliens was discovered on Mars. These Martians have two variants of eye color, purple and green. Specifically, you observed 8 purple-eyed Martians out of 10 total Martians you saw. As a new researcher, you are curious if there is a difference in the proportion of Martians that have purple eye color and green eye color. Your null hypothesis suggests that the proportion of purple-eyed Martians should equal the proportion of green-eyed Martians. The alternative hypothesis is that the proportion of purple-eyed Martians does not equal the proportion of green-eyed Martians. Thus, you flip a coin 10 times and count the number of heads to represent purple-eyed Martians. After repeating this process multiple times, you establish the null distribution and probability table shown below. # of Purple-eyed Martians (Heads) Probability 0 0.02 1 0.04 2 0.08 3 0.12 4 0.15 5 0.18 6 0.15 7 0.12 8 0.08 9 0.04 10 0.02 Total 1 Using the figure and/or table above, calculate the p-value (2 pts) and interpret the result in relation to your null hypothesis (2 pts) .
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