Knowee
Questions
Features
Study Tools

A school is gathering some data on its sports teams because it was believed that the distribution of boys and girls were evenly distributed across all the sports. This table lists the number of boys and girls participating in each sport.  Boys GirlsTennis 18 30Soccer 42 15Swimming 12 18Select the observed and expected frequencies for the boys participating in soccer. Observed: 42Expected: 24Observed: 42Expected: 22.5Observed: 57Expected: 24Observed: 57Expected: 22.5

Question

A school is gathering some data on its sports teams because it was believed that the distribution of boys and girls were evenly distributed across all the sports. This table lists the number of boys and girls participating in each sport.  Boys GirlsTennis 18 30Soccer 42 15Swimming 12 18Select the observed and expected frequencies for the boys participating in soccer. Observed: 42Expected: 24Observed: 42Expected: 22.5Observed: 57Expected: 24Observed: 57Expected: 22.5

...expand
🧐 Not the exact question you are looking for?Go ask a question

Solution

The observed frequency for boys participating in soccer is 42, as it is directly given in the table.

To calculate the expected frequency, we first need to find the total number of boys and the total number of participants in all sports.

The total number of boys is 18 (Tennis) + 42 (Soccer) + 12 (Swimming) = 72.

The total number of participants is 72 (Boys) + 30 (Girls in Tennis) + 15 (Girls in Soccer) + 18 (Girls in Swimming) = 135.

If boys and girls were evenly distributed across all sports, we would expect the same proportion of boys in each sport as there are in the total population.

So, the expected frequency of boys in soccer is (Total boys / Total participants) * Total participants in soccer.

Total participants in soccer = 42 (Boys) + 15 (Girls) = 57.

So, the expected frequency is (72 / 135) * 57 ≈ 30.4.

Therefore, the correct answer is: Observed: 42, Expected: 30.4.

However, this option is not given in your list. It seems there might be a mistake in the options provided.

This problem has been solved

Similar Questions

Two researchers are gathering data on hours of video games played by school-aged children and young adults. They each randomly sample different groups of 150 students from the same school. They collect the following data.Researcher AHours Played per Week Frequency Relative Frequency Cumulative Relative Frequency0-2 26 0.17 0.172-4 30 0.20 0.374-6 49 0.33 0.706-8 25 0.17 0.878-10 12 0.08 0.9510-12 8 0.05 1Researcher BHours Played per Week Frequency Relative Frequency Cumulative Relative Frequency0-2 48 0.32 0.322-4 51 0.34 0.664-6 24 0.16 0.826-8 12 0.08 0.908-10 11 0.07 0.9710-12 4 0.03 1As part of a way to reward students for participating in the survey, the researchers gave each student a gift card to a video game store. Would this affect the data if students knew about the award before the study?Yes, people who play games more might be more likely to participate. This would leave out many students who do not play games at all and skew the data.Yes, people who do not play games at all might be more likely to participate. This would leave out many students who play games more and skew the data.    No, both people who play games and people who do not play games would want the gift card equally as much. This would include all students from the school and not skew the data.No, neither people who play games nor people who do not play games would be interested in the gift card. This would not effect who participates and not skew the data.

Study the given information and answer the questions that follows: There are 800 players in a stadium who are participating in 4 sports- A,B,C and D (one person in one sport only). The ratio of male to female players is 9:7. The ratio of male players who are participating in sport A to other male players who are participating in other three sports is 4:5. 12% of the male players who are not participating in A, are participating in sport D. The remaining male players are participating in sports B and C in the ratio 5:6. 48% of the female players are participating in sport A and 22 female players are participating in sport B. The remaining female players are participating in sport C and D in the ratio 7:9. Q. What is the ratio of the number of male players participating in sport C to the number of female players participating in sport D? Question 2Answer a. 10 : 9 b. 4 : 3 c. 7 : 5 d. 3 : 2

A simple random sample of 11 observations from a population containing 400 female soccer players was taken, and the following values were obtained.    48 53 72 56 63 64 56 76 50 46 73Calculate a 95% confidence interval for the population mean.

A study analyzed the interest of male and female students in playing baseball. The study surveyed 100 female and 90 male students. When describing the results, the study reported that 60% of the female students liked baseball in comparison with 80% of the male students. In this scenario, the study describes the results by Blank______.Multiple choice question.comparing group percentagescorrelating scores of individuals on two variablescorrelating percentages of different variablescomparing group means

The following table shows the results from a random sample data of 50 people on the relationship between dietary preference and athletic status.Dietary Preference Athletic Status Vegetarian Non-Vegetarian Row TotalAthlete 13 15 28Non-Athlete 8 14 22Column Total 21 29 50Using the information in the table, compute the expected frequencies for each of the cells in the table.Expected Frequencies for Dietary Preference Athletic Status Vegetarian Non-Vegetarian Row TotalAthlete 28Non-Athlete 22Column Total 21 29 50

1/1

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.