Question

It is estimated that ten percent of the population is left-handed. Mrs. Ngo, the statistics teacher, thought that her school had more left-handed people, so she selected a random sample of 30 students from the school and found that 7 students were left-handed. She also ran a simulation 40 times to simulate the number of students out of 30 that would be left-handed if the actual proportion in the population were 10

1) To determine if the proportion of left-handed students in the school is significantly different from 10%
2) To determine the exact number of left-handed students in the school
3) To compare the proportion of left-handed students in the school with the proportion in the population
4) To determine the probability of selecting a left-handed student from the school

Answer 1

To determine if the proportion of left-handed students in the school is significantly different from 10%, perform a hypothesis test. To determine the exact number of left-handed students, multiply the observed proportion by the total number of students. To compare the proportions, calculate a confidence interval. To determine the probability, use the observed proportion.

Step-by-step explanation:

In order to determine if the proportion of left-handed students in the school is significantly different from 10%, we can perform a hypothesis test. The null hypothesis would be that the proportion of left-handed students in the school is 10%, while the alternative hypothesis would be that the proportion is not equal to 10%. We can then compare the p-value of the test to a significance level to make a decision.

To determine the exact number of left-handed students in the school, we can use the observed proportion of left-handed students from the random sample and multiply it by the total number of students in the school.

To compare the proportion of left-handed students in the school with the proportion in the population, we can calculate the confidence interval for the proportion based on the sample data. If the confidence interval does not include the population proportion of 10%, then we can conclude that the proportions are significantly different.

To determine the probability of selecting a left-handed student from the school, we can use the observed proportion of left-handed students from the random sample.