The probability that a randomly selected person in the United States is left-handed is about 0.14.
(a) Among the 28 students in Mr. Miller’s class, 8 are left-handed. Could this have happened by chance alone? Describe how you would use a random number table to simulate the proportion of left-handers in a class of 28 students if they were chosen randomly from a population that is 14% left-handed. Do not perform this simulation.
assign # 01-14 left hander and #15-28 right handers . Choose 28 2 digit #s from random digit table and count the 3# of left hander in group. Is this correct?
*not 3# just count the #
Well, your approach seems close, but let's make some adjustments!
To simulate the proportion of left-handers in a class of 28 students, you can use a random number table by following these steps:
1. Assign the numbers 01-14 to represent left-handed students and 15-99 to represent right-handed students.
2. Choose 28 two-digit numbers from the random number table, making sure to record each number drawn.
3. Count the number of left-handed students in the group using the numbers you recorded.
4. Calculate the proportion of left-handers in the group by dividing the count of left-handers by 28.
Repeat this simulation multiple times, and you'll get an idea of how often you would expect to see a class with 8 left-handed students or more, assuming a population left-handedness rate of 14%.
Remember, this simulation helps understand the likelihood of such an event happening by chance. So, just like a clown juggling balls, this simulation helps give us a sense of how many left-handed students we might expect in random classes of 28 students.
No, your method is not correct. Here is the correct method to simulate the proportion of left-handers in a class of 28 students:
1. Identify the range of numbers on the random number table that corresponds to left-handers and right-handers. In this case, we know that the population is 14% left-handed, so we can divide the random number table into two parts: the first 14% of the numbers correspond to left-handers, and the remaining 86% correspond to right-handers.
2. Use the random number table to select 28 numbers. Read the numbers from left to right, top to bottom, until you have selected 28 numbers.
3. Count the number of left-handers in the selected group. For each number, if it falls within the range that corresponds to left-handers (first 14% of the numbers), count it as a left-hander. Keep track of the total number of left-handers in the selected group.
4. Calculate the proportion of left-handers in the selected group. Divide the total number of left-handers by 28.
5. Repeat steps 2-4 for multiple simulations to get a distribution of proportions of left-handers.
By performing multiple simulations, you can assess the probability of getting 8 or more left-handers in a class of 28 students by chance alone. If the probability is very low (e.g., less than 0.05), it suggests that the observed number of left-handers is unlikely to have occurred just by chance.
Yes, you're on the right track! Using a random number table is a good approach to simulate the proportion of left-handers in a class of 28 students.
To simulate the proportion, follow these steps:
1. Divide the random number table into two sections - one for left-handers and one for right-handers. In this case, you would assign the numbers 01-14 to left-handers and 15-28 to right-handers.
2. Generate a string of two-digit random numbers from the table. You will need a total of 28 random numbers for a class of 28 students.
3. Count the proportion of left-handers in the generated string. Each time you encounter a random number that falls within the range assigned to left-handers (01-14), consider that as a left-hander. Count the number of left-handers in the string.
4. Calculate the proportion by dividing the count of left-handers by the total number of students (28 in this case). This will give you the simulated proportion of left-handers in this sample.
5. Repeat this process multiple times to obtain a distribution of simulated proportions. This will allow you to assess the likelihood of observing the actual proportion of left-handers in Mr. Miller's class (8 out of 28) by chance alone.
Remember that this simulation is based on assumptions, and results may vary due to the inherent randomness in the process. Performing multiple simulations and comparing the observed proportion to the simulated distribution will give you an idea of whether the observed proportion is within the range expected by chance. Keep in mind that the result may still be an outlier, indicating a deviation from chance alone.