Question

Five years? ago, 10.3?% of high school students had tried marijuana for the first time before...

Five years? ago, 10.3?% of high school students had tried marijuana for the first time before the age of 13. A school resource officer? (SRO) thinks that the proportion of high school students who have tried marijuana for the first time before the age of 13 has increased since then. ?(a) Determine the null and alternative hypotheses. Which of the following is? correct? A. Upper H 0?: pequals0.103?; Upper H 1?: pgreater than0.103 B. Upper H 0?: pequals0.103?; Upper H 1?: pnot equals0.103 C. Upper H 0?: pequals0.103?; Upper H 1?: pless than0.103 ?(b) Suppose sample data indicate that the null hypothesis should not be rejected. State the conclusion of the researcher. A. There is sufficient evidence to conclude that the proportion of high school students has increased. B. There is not sufficient evidence to conclude that the proportion of high school students has stayed the same. C. There is not sufficient evidence to conclude that the proportion of high school students has increased. D. There is sufficient evidence to conclude that the proportion of high school students has stayed the same. ?(c) Suppose, in? fact, that the proportion of high school students who have tried marijuana before the age of 13 was 10.5?%. Was a type I or type II error? committed? A. The SRO committed a type II error because he accepted the null hypothesis when the alternative hypothesis is true. B. The SRO committed a type II error because he did not reject the null hypothesis when the alternative hypothesis is true. C. The SRO committed a type Upper I error because he did not reject the null hypothesis when the alternative hypothesis is true. D. The SRO committed a type Upper I error because he accepted the null hypothesis when the alternative hypothesis is true

Homework Answers

Answer #1

(A)

Since we wnat to test whether  the proportion of high school students who have tried marijuana for the first time before the age of 13 has increased from 10.3%. The alternative hypothesis is:

The null hypothesis is:

(b)

Since null hypothesis is not rejected so

C. There is not sufficient evidence to conclude that the proportion of high school students has increased.

(c)

Since true proportion is 10.5% but we fail to reject the null hypothesis so we fail to reject the false null hypothesis. So type II error is possible.

B. The SRO committed a type II error because he did not reject the null hypothesis when the alternative hypothesis is true.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Large Sample Proportion Problem. A survey was conducted on high school marijuana use. Of the 2266...
Large Sample Proportion Problem. A survey was conducted on high school marijuana use. Of the 2266 high school students surveyed, 970 admitted to smoking marijuana at least once.  A study done 10 years earlier estimated that 45% of the students had tried marijuana. We want to conduct a hypothesis test to see if the true proportion of high school students who tried marijuana is now less than 45%.   Use alpha = .01. What is the conclusion for this test? Group of...
Twenty years​ ago, 49​% of parents of children in high school felt it was a serious...
Twenty years​ ago, 49​% of parents of children in high school felt it was a serious problem that high school students were not being taught enough math and science. A recent survey found that 247 of 800 parents of children in high school felt it was a serious problem that high school students were not being taught enough math and science. Do parents feel differently today than they did twenty years​ ago? Use the alpha equals 0.1 level of significance....
Large Sample Proportion Problem. A survey was conducted on high school marijuana use. Of the 2266...
Large Sample Proportion Problem. A survey was conducted on high school marijuana use. Of the 2266 high school students surveyed, 970 admitted to smoking marijuana at least once.  A study done 10 years earlier estimated that 45% of the students had tried marijuana. We want to conduct a hypothesis test to see if the true proportion of high school students who tried marijuana is now less than 45%.   Use alpha = .01. What is the critical value for this test?
E-Cigs According to the Centers for Disease Control and Prevention, 2.8% of high school students currently...
E-Cigs According to the Centers for Disease Control and Prevention, 2.8% of high school students currently use electronic cigarettes. A high school counselor is concerned the use of e-cigs at her school is higher. (a) Determine the null and alternative hypotheses. (b) If the sample data indicate that the null hypothesis should not be rejected, state the conclusion of the school counselor. (c) Suppose, in fact, that the proportion of students at the counselor’s high school who use electronic cigarettes...
1. Large Sample Proportion Problem. A survey was conducted on high school marijuana use. Of the...
1. Large Sample Proportion Problem. A survey was conducted on high school marijuana use. Of the 2266 high school students surveyed, 970 admitted to smoking marijuana at least once.  A study done 10 years earlier estimated that 45% of the students had tried marijuana. We want to conduct a hypothesis test to see if the true proportion of high school students who tried marijuana is now less than 45%.   Use alpha = .01. What is the conclusion for this test? A)Based...
Five years ago, the average math SAT score for students at one school was 475. A...
Five years ago, the average math SAT score for students at one school was 475. A teacher wants to perform a hypothesis test to determine whether the mean math SAT score of students at the school has improved. The mean math SAT score for a random sample of 40 students from this school is 469 with a standard deviation of 73. Do the data provide sufficient evidence to conclude that the mean math SAT score for students at the school...
In a survey of one hundred and eight five females who recently completed high​ school, eighty...
In a survey of one hundred and eight five females who recently completed high​ school, eighty percent were enrolled in college. In a survey of one hundred and fifty males who recently completed high​ school, sixty eight percent were enrolled in college. At α=0.07​, can you reject the claim that there is no difference in the proportion of college enrollees between the two​ groups? Assume the random samples are independent. Complete parts​ (a) through​ (e). ​(a) Identify the claim and...
A study investigated whether regular mammograms resulted in fewer deaths from breast cancer over a period...
A study investigated whether regular mammograms resulted in fewer deaths from breast cancer over a period of 15 years. Among 30,579 women who never had​ mammograms, 191 died of breast​ cancer, while only 141 of 30,152 who had undergone screening died of breast cancer. ​a) Do these results suggest that mammograms may be an effective screening tool to reduce breast cancer​ deaths? ​b) If your conclusion is​ incorrect, which type of error did you​ commit? Determine the test statistic. z=...
#22 Several years​ ago, 39​% of parents who had children in grades​ K-12 were satisfied with...
#22 Several years​ ago, 39​% of parents who had children in grades​ K-12 were satisfied with the quality of education the students receive. A recent poll asked 1 comma 115 parents who have children in grades​ K-12 if they were satisfied with the quality of education the students receive. Of the 1 comma 115 ​surveyed, 498 indicated that they were satisfied. Construct a 90​% confidence interval to assess whether this represents evidence that​ parents' attitudes toward the quality of education...
32. Suppose a survey is conducted five years ago at a university showed that there are...
32. Suppose a survey is conducted five years ago at a university showed that there are 500 students out of all the 5000 students would like to go graduate school after they obtained the bachelor’s degree. This year a new survey was conducted on a random sample of 500 students from this university, and it was found that 80 of them would like to go graduate school after they graduate. Do these data provide convincing evidence to suggest that the...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT