Question

In: Math

In a study of high school students at least 16 years of age, researchers obtained survey...

In a study of high school students at least 16 years of age, researchers obtained survey results summarized in the accompanying table (based on data from Texting While Driving and Other Risky Motor Vehicle Behaviors Among U.S. High School Students, by OMalley, Shults, and Eaton, Pediatrics, Vol. 131, No. 6).

Use a 0.05 significance level to test, by hand, the claim of independence between texting while driving and irregular seat belt use:

  1. (a) State the null and alternative hypotheses, indicate the significance level and the type of test (left-, right-, or two-tailed test).

  2. (b) Calculate by hand the test statistic

  3. (c) Use the χ2 table to identify the critical value

  4. (d) Use the test statistic and critical value to explain whether or not the null hypothesis is rejected.

  5. (e) Make a concluding statement.

  6. (f) Are those two risky behaviors independent of each other?

Solutions

Expert Solution

milcah answered 6 months ago
Next > < Previous

Related Solutions

6. Texting and Drinking In a study of high school students at least 16 years of...
6. Texting and Drinking In a study of high school students at least 16 years of age, researchers obtained survey results summarized in the accompanying table (based on data from “Texting While Driving and Other Risky Motor Vehicle Behaviors Among U. S. High School Students,” by O’Malley, Shults, and Eaton, Pediatrics, Vol. 131, No. 6). Use a 0.05 significance level to test the claim of independence between texting while driving and driving when drinking alcohol. Are those two risky behaviors...
It is known that 76.3% of all high school students age 16 or older in the...
It is known that 76.3% of all high school students age 16 or older in the United States have driven a car in the past month. Suppose you take a random sample of 82 high school students age 16 or older. What is the probability that less than 70% of the students in your sample have driven a car in the past month? a) 0.0901 b) 0.1075 c) 0.2776 d) this cannot be determined as the central limit theorem conditions...
A Rutgers University study found that many high school students cheat on tests. The researchers surveyed...
A Rutgers University study found that many high school students cheat on tests. The researchers surveyed a random sample of 4500 high school students nationwide; 74% of them said they had cheated at least once. a) Create a 90% confidence interval for the level of cheating among high school students. (Use your calculator to create this interval. Do not do the calculations by hand.) b) Interpret your interval. c) Would a 95% confidence interval be wider or narrower? Explain.
In a certain high school, uniforms are optional. A study shows that high school students who...
In a certain high school, uniforms are optional. A study shows that high school students who wear uniforms have a lower grade average than students who don't wear uniforms. From this study, the school administration claims that they should not require the students to wear uniforms because that is the cause of the lowering grades. Another possible explanation is that students who wear uniforms are poorer than the students who don't wear uniforms and the economic situation of their parents...
A study was conducted on students from a particular high school over the last 8 years....
A study was conducted on students from a particular high school over the last 8 years. The following information was found regarding standardized tests used for college admitance. Scores on the SAT test are normally distributed with a mean of 1010 and a standard deviation of 200. Scores on the ACT test are normally distributed with a mean of 20.9 and a standard deviation of 4.4. It is assumed that the two tests measure the same aptitude, but use different...
A study was conducted on students from a particular high school over the last 8 years....
A study was conducted on students from a particular high school over the last 8 years. The following information was found regarding standardized tests used for college admitance. Scores on the SAT test are normally distributed with a mean of 1109 and a standard deviation of 196. Scores on the ACT test are normally distributed with a mean of 20.9 and a standard deviation of 4.4. It is assumed that the two tests measure the same aptitude, but use different...
A study was conducted on students from a particular high school over the last 8 years....
A study was conducted on students from a particular high school over the last 8 years. The following information was found regarding standardized tests used for college admitance. Scores on the SAT test are normally distributed with a mean of 992 and a standard deviation of 201. Scores on the ACT test are normally distributed with a mean of 19.1 and a standard deviation of 5.1. It is assumed that the two tests measure the same aptitude, but use different...
A study was conducted on students from a particular high school over the last 8 years....
A study was conducted on students from a particular high school over the last 8 years. The following information was found regarding standardized tests used for college admitance. Scores on the SAT test are normally distributed with a mean of 1057 and a standard deviation of 203. Scores on the ACT test are normally distributed with a mean of 22.6 and a standard deviation of 4.9. It is assumed that the two tests measure the same aptitude, but use different...
In a recent survey of high school students, it was found that the amount of time...
In a recent survey of high school students, it was found that the amount of time spent on reading books per week was normally distributed with a mean of 32 minutes. Assume the distribution of weekly reading time follows the normal distribution with a population standard deviation of 2 minutes. Suppose we select a sample of 20 high school students. a. What is the standard error of the mean time? Answer b. What percent of the sample means will be...
A high school runs a survey asking students if they participate in sports. The results are...
A high school runs a survey asking students if they participate in sports. The results are found below. Run an independence test for the data at α=0.01. Freshmen Sophomores Juniors Seniors Yes 75 88 55 42 No 30 28 38 40 Enter the test statistic - round to 4 decimal places.
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT