To determine if each color was chosen more or fewer times than expected, we first need to calculate the expected frequency for each color based on their proportions in the jar.
Total number of buttons = 4 (blue) + 5 (green) + 1 (white) = 10 buttons.
Expected probabilities:
- Probability of blue = 4/10 = 0.4
- Probability of green = 5/10 = 0.5
- Probability of white = 1/10 = 0.1
In 50 trials, the expected frequency for each color is:
- Expected frequency of blue = 50 * 0.4 = 20
- Expected frequency of green = 50 * 0.5 = 25
- Expected frequency of white = 50 * 0.1 = 5
Now we compare the expected frequencies with the observed frequencies (given in the question):
- Blue: Observed = 26, Expected = 20
- Green: Observed = 21, Expected = 25
- White: Observed = 3, Expected = 5
Now let's draw conclusions:
- Blue was chosen more times than expected (26 vs 20).
- Green was chosen fewer times than expected (21 vs 25).
- White was chosen fewer times than expected (3 vs 5).
So the completed statements are:
- Blue was chosen more times than expected.
- Green was chosen fewer times than expected.
- White was chosen fewer times than expected.