ZuoTi.Pro
Question

Please only solve question 1.13. Question 1.12 is only there for reference. Thank you. 1.12 To collect data in an introductory statistics course, recently I gave the students a questionnaire. One question asked whether the student was a vegetarian. Of 25 students, 0 answered yes. They were not a random sample, but let us use these data to illustrate inference for a proportion. (You may wish to refer to Section l-4-1 on methods of inference.) Let π denote the population proportion who would say yes. Consider Ho: 0.50 and Ha:0.50.

1.13 Refer to the previous exercise, with y -0 in 25 trials. a. Show that10, the maximized likelihood under Ho, equals (1-T0)25, which is (0.50)25 for Ho: π-0.50. b. Show that &1, the maximum of the likelihood function over all possible T values, equals 1.0. (Hint: This is the value at the ML estimate value of 0.0.) c. For H: π-0.50, show that the likelihood-ratio test statistic, -2 log(lo/e), equals 34.7. Report the P-value. d. The 95% likelihood-ratio confidence interval for π is (0.000, 0.074). Verify that 0.074 is the correct upper bound by showing that the likelihood-ratio test of H0: π-0.074 against Ha: π -0.074 has chi-squared test statistic equal to 3.84 and P-value-0.05 Upon completion of the question also please show how to obtain the 95% likelihood-ratio confidence interval for for part (d)

math   Statistics-And-Probability   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

2s n-1 lo 2S 1292 = 34F2S 2S 3 84, 5 psi

0 0
Add a comment
Know the answer?
Add Answer to:
Please only solve question 1.13. Question 1.12 is only there for reference. Thank you. 1.12 To...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions

  • 3. Based on a random sample of 500 measurements, the sample proport Consider the test of...

    3. Based on a random sample of 500 measurements, the sample proport Consider the test of hypothesis: Но: π-0.30 На: п < 0.30 with a-0.05 Calculate the test statistic z, the P-value, and make a decision about Ho. a. b. Construct a 95% confidence interval for the true population proportion Assuming the same confidence level as in the population proportion question (part b above), what sample size would be required to reduce the margin of error of the confidence interval...

  • 1. You own a small storefront retail business and are interested in determining the average amount...

    1. You own a small storefront retail business and are interested in determining the average amount of money a typical customer spends per visit to your store. You take a random sample over the course of a month for 8 customers and find that the average dollar amount spent per transaction per customer is $106.745 with a standard deviation of $13.7164. Create a 95% confidence interval for the true average spent on all customers per transaction. Question 1 options: 1)...

  • Can you do both please and help a girl out XOXO :)options are if the p-value...

    Can you do both please and help a girl out XOXO :)options are if the p-value is either greater or less than 0.01. Researchers conducted a follow-up study predicting the outcomes of races in the House of Representatives with 189 correct predictions out of 279. Using a simulation and the 25D method, the 95% confidence interval is (0.62, 0.74) and using a theory-based approach, the 95% confidence interval for these data is (0.62,0.73). When comparing the 25D method and theory...

  • QUESTION 04 (10 points)-Confidence Interval for π in Finite Population Case A cohort of 2,469 vet...

    QUESTION 04 (10 points)-Confidence Interval for π in Finite Population Case A cohort of 2,469 veterans has an unknown probability of home ownership t. A simple random sample of 354 is drawn without replacement. The number of home owners in the sample is 148. (a)[2] Check if this is the finite population case. (b)[2] Check if the sampling distribution of the sample proportion can be approximately Normal (c) [3] Construct the 98% CI for the population proportion π. Sketch the...

  • The owner of a golf course wants to determine if his golf course is more difficult...

    The owner of a golf course wants to determine if his golf course is more difficult than the one his friend owns. He has 11 golfers play a round of 18 holes on his golf course and records their scores. Later that week, he has the same 11 golfers play a round of golf on his friend's course and records their scores again. The average difference in the scores (treated as the scores on his course - the scores on...

  • U None of the above POPULATION PROPORTION 13. In order to estimate the population proportion of...

    U None of the above POPULATION PROPORTION 13. In order to estimate the population proportion of Americans who support more international involvement to within 2% with 95% confidence, the sample size should be a. 16,577 6. 2,401 c. 1,691 d. None of the above n= (Zaz ) Ê (1-6) 14. In the criminal justice system for the United States an accused person is innocent until proved guilty; therefore, a Type Il error is . Ho innocent a Acquitting a criminal...

  • NEED HELP ASAP - will give thumbs up Multi part question set If you can’t finish...

    NEED HELP ASAP - will give thumbs up Multi part question set If you can’t finish all of it, that’s ok! Would really appreciate any and all help as soon as possible Thank you so much in advance! Thank you!! Migrants through Mexico - 1, NUMERICAL ANSWER There are 7 questions in this set. As you proceed through these questions, use necessary information from previous questions. The Washington Post and the Mexican newspaper Reforma surveyed 1.200 Mexican adults in July...

  • PLEASE ANSWER CLEARLY Question Completion Status: One sample proportion summary confidence interval: P: Proportion of successes...

    PLEASE ANSWER CLEARLY Question Completion Status: One sample proportion summary confidence interval: P: Proportion of successes Method: Standard-Wald 95% confidence interval results: Proportion Count Total Sample Prop. Std. Err. L. Limit U. Limit р 68 285 0.23859649 0.025247422 0.18911245 0.28808053 a. Identify the 95% confidence interval for this given scenario. a. 18.9% < < 28.8% o b. 18.9% < < 28.8% 18.9% < X < 28.8% C 95% confidence interval results: Proportion Count Total Sample Prop. Std. Err. L. Limit...

  • In a random sample of 25 students, 14 students answered "Yes" to the question “Do you use a groce...

    In a random sample of 25 students, 14 students answered "Yes" to the question “Do you use a grocery delivery app?” Use the “plus-four” method to find a 95% confidence interval for the true proportion of students who use a grocery delivery app. Round to 3 decimal places, if necessary.

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT