Question

In: Statistics and Probability

Chapter 7, Section 2, Exercise 040acde Metal Tags on Penguins A test is performed for the...

Chapter 7, Section 2, Exercise 040acde Metal Tags on Penguins A test is performed for the difference in the proportion of penguins who survive over a 10-year period, between penguins tagged with metal tags and those tagged with electronic tags. We are interested in testing whether the type of tag has an effect on penguin survival rate, this time using a chi-square test. In the study, 38 of the 162 metal-tagged penguins survived while 65 of the 185 electronic-tagged penguins survived. (a) Create a two-way table from the information given. Metal Electronic Total Survived Died Total (b) Give a table with the expected counts for each of the four categories. Round your answers to two decimal places. Metal Electronic Survived Died (c) Calculate the chi-square test statistic. Round your answer to one decimal place. chi-square statisticequals (d) Determine the p-value and state the conclusion. Round your answer to three decimal places. p-valueequals Conclusion: Upper H Subscript 0. Is survival rate related to the type of tag?

Solutions

Expert Solution

Solution: (a) Create a two-way table from the information given.

Answer:

(b) Give a table with the expected counts for each of the four categories.

Answer: The expected counts table is given below:

(c) Calculate the chi-square test statistic.

Answer: The chi-square test statistic is given below:

  

(d) Determine the p-value and state the conclusion.

Answer:

Conclusion: We are not given significance level here. Assuming

Reject at . The survival rate is related to the type of tag.

orchestra answered 2 years ago
Next > < Previous

Related Solutions

A test is performed for the difference in the proportion of penguins who survive over a...
A test is performed for the difference in the proportion of penguins who survive over a 10-year period, between penguins tagged with metal tags and those tagged with electronic tags. We are interested in testing whether the type of tag has an effect on penguin survival rate, this time using a chi-square test. The results from the study are in the table below. Metal Electronic Total Survived 37 64 101 Died 123 119 242 Total 160 183 343 At a...
Chapter 7, Section 2, Exercise 032 Find the expected count and the contribution to the chi-square...
Chapter 7, Section 2, Exercise 032 Find the expected count and the contribution to the chi-square statistic for the (B,E) cell in the two-way table below. D E F G Total A 39 31 39 39 148 B 74 87 68 53 282 C 17 35 27 27 106 Total 130 153 134 119 536 Round your answer for the expected count to one decimal place, and your answer for the contribution to the chi-square statistic to three decimal places....
Chapter 7, Section 2, Exercise 033 Find the expected count and the contribution to the chi-square...
Chapter 7, Section 2, Exercise 033 Find the expected count and the contribution to the chi-square statistic for the (Control, Agree) cell in the two-way table below. Strongly Agree Agree Neutral Disagree Strongly Disagree Control 36 47 6 12 11 Treatment 56 45 12 7 2 Round your answer for the excepted count to one decimal place, and your answer for the contribution to the chi-square statistic to three decimal places. Expected count = contribution to the chi-square statistic =
Chapter 7, Section 2, Exercise 033 Find the expected count and the contribution to the chi-square...
Chapter 7, Section 2, Exercise 033 Find the expected count and the contribution to the chi-square statistic for the (Group 2, No) cell in the two-way table below. Yes No Group 1 717 272 Group 2 1171 324 Round your answer for the excepted count to one decimal place, and your answer for the contribution to the chi-square statistic to three decimal places. Expected count= contribution to the chi-square statistic=
Chapter 6, Section 2-CI, Exercise 109 What Influences the Sample Size Needed? In this exercise, we...
Chapter 6, Section 2-CI, Exercise 109 What Influences the Sample Size Needed? In this exercise, we examine the effect of the margin of error on determining the sample size needed. Find the sample size needed to give, with 95% confidence, a margin of error within ±, 8 . Within. ±, 5 Within ±, 1. Assume that we use ά= 25 as our estimate of the standard deviation in each case. Round your answers up to the nearest integer. ME= 8:...
Chapter 6, Section 2-CI, Exercise 111 What Influences the Sample Size Needed? In this exercise, we...
Chapter 6, Section 2-CI, Exercise 111 What Influences the Sample Size Needed? In this exercise, we examine the effect of the value of the estimated standard deviation on determining the sample size needed. Find the sample size needed to give, with 95% confidence, a margin of error within ±5 , if the estimated standard deviation is ά= 50. If the estimated standard deviation is ά=20. If the estimated standard deviation is ά=10. Round your answers up to the nearest integer....
Chapter 6, Section 2-HT, Exercise 114 Use the t-distribution and the sample results to complete the...
Chapter 6, Section 2-HT, Exercise 114 Use the t-distribution and the sample results to complete the test of the hypotheses. Use a 5% significance level. Assume the results come from a random sample, and if the sample size is small, assume the underlying distribution is relatively normal. Test H0 : μ=15 vs Ha : μ>15 using the sample results x¯=17.2, s=6.4, with n=40. Your answer is partially correct. Try again. (a) Give the test statistic and the p-value. Round your...
Chapter 1, Section 3, Exercise 092 Do Antidepressants Work?
Chapter 1, Section 3, Exercise 092 Do Antidepressants Work?
Chapter 3 Section 7 Problem 2 We have 22 female and 26 male patients in the...
Chapter 3 Section 7 Problem 2 We have 22 female and 26 male patients in the hospital. I am going to select 36 of these patients for transfer to another hospital. (a) What is the expected number of female patients to be transferred (b) What is the probability that the same number of male and female patients transferred? Chapter 3 Section 8 Problem 2 The number of flowers on my balcony follows a Poisson distribution with a mean of 0.25...
Chapter 4, Section 3, Exercise 116 Lizards and Invasive Fire Ants This exercise addresses lizard behavior...
Chapter 4, Section 3, Exercise 116 Lizards and Invasive Fire Ants This exercise addresses lizard behavior in response to fire ants. The red imported fire ant, Solenopsis invicta, is native to South America, but has an expansive invasive range, including much of the southern United States (invasion of this ant is predicted to go global). In the United States, these ants occupy similar habitats as fence lizards. The ants eat the lizards and the lizards eat the ants, and in...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT