In the early 1900's Karl von Frisch conducted an experiment to study whether honey bees have color
Question:
In the early 1900's Karl von Frisch conducted an experiment to study whether honey bees have color vision. He trained bees to feed on a dish of sugar water that was set on a colored card. He then set the colored card (without the sugar water) onto an array of four cards colored in grey (shown below). The experiment was repeated with the colored tile in different positions on the array. Of 27 incoming bees who landed on a tile, twelve landed first on the colored tile.
1) Define a parameter of interest and state a null hypothesis and alternative hypothesis involving this parameter. Hint: If bees could not see in color, what proportion of incoming bees would you expect to first land on the blue card?
2) Conduct a statistical hypothesis test to answer the question whether bees can see in color (at significance level = 0.05). Report the p-value of your test together with a conclusion sentence. Show your work.