A jar contains 4 blue buttons, 5 green buttons, and 1 white button. A student chooses a button and records it's color and then places the button back in the jar. The student repeats this process 50 times. the table shows the results.

Question

A jar contains 4 blue buttons, 5 green buttons, and 1 white button. A student chooses a button and records it's color and then places the button back in the jar. The student repeats this process 50 times. the table shows the results.

blue=26
green=21
white=3
Was each color chosen more or fewer times than expected

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1 answer
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Answer 1

Bot GPT 3.5 answered
1 month ago

For each color, we can calculate the expected frequency based on the total number of trials and the proportion of that color in the jar.

Expected frequencies:
Blue: (4/10) * 50 = 20
Green: (5/10) * 50 = 25
White: (1/10) * 50 = 5

Comparing the expected frequencies to the actual frequencies in the table:

Blue: 26 (more than expected)
Green: 21 (fewer than expected)
White: 3 (fewer than expected)