In one particular rainforest in Tasmania, it has been found that 70% of the trees areeucalyptus trees; 20% of the trees are Australian blackwood trees and 10% of the treesare myrtle beech trees. Unfortunately, this rainforest has recently been affected bybushfires; and we are interested in determining whether or not the above percentagedistribution of trees has been affected by these bushfires. When the number of treesremaining were counted after several had been burnt down by the bushfires, it was foundthat there were a total of 500 trees left. Of these, 320 were eucalyptus trees; 120 wereAustralian blackwood trees and 60 were myrtle beech trees. A scientist would like to knowif there is evidence of a significant change in the percentage distribution of trees aş a resultof these unfortunate bushfires.(i)Use statistical notation to state the appropriate null and alternate hypotheses.(ii) Calculate the chi-squared test statistic for these data.(ii1)Given a p-value of 0.038 and a significance level of a = 0.05, what isyourconclusion here? Give a reason for your answer.

The categorical variable is trees, it has 3 types. Those are eucalyptus trees, Australian black wood…

Answered: In one particular rainforest in…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A car dealership is deciding the proportion of cars they will order with cloth seats. You have been assigned the task of surveying randomly selected car owners to determine the percentage of car owners that prefer cloth seats. How many car owners must you survey to be 99% confident that the sample is within 5 percentage points of the true population percentage? Assume that records from the past indicate that 30% of car owners prefer cloth seats.
A market investigator. returns the following data of 10000 people 30 consulted: 8110 liked chocolates, 7520 liked toffee, Show that this information as it stands must be incorrect.
A researcher would like to know whether there is a consistent, predictable relationship between ACT scores and GPA for high school students. A sample of 100 students is obtained from students who took the ACT in their Junior year. Based on the test results and gpa scores, students are classified as high or low for ACT and for GPA. The results are summarized in the following frequency distribution: ACT Score High Low High GPA 39 21 Low GPA 15 25 Based on the data, is there a significant relationship between ACT scores and GPA (α = .05). Compute the appropriate measure of association.
Suppose an internet marketing company wants to determine the current percentage of customers who click on ads on their smartphones. How many customers should the company survey in order to be 90% confident that the estimated proportion is within five percentage points of the true population proportion of customers who click on ads on their smartphones?
According to a census company, 7.1% of all babies born are of low birth weight. An obstetrician wanted to know whether mothers between the ages of 35 and 39 years give birth to a higher percentage of low-birth-weight babies. She randomly selected 280 births for which the mother was 35 to 39 years old and found 31 low-birth-weight babies. Complete parts (a) through (c) below. (a) If the proportion of low-birth-weight babies for mothers in this age group is 0.071, compute the expected number of low-birth-weight births to 35- to 39-year-old mothers. What is the expected number of births to mothers 35 to 39 years old that are not low birth weight? The expected number of low-birth-weight births to 35- to 39-year-old mothers is 19.88 The expected number of births to mothers 35 to 39 years old that are not low birth weight is 260.12 (Type integers or decimals.) (b) Answer the obstetrician's question at the a = 0.10 level of significance using the chi-square goodness-of-fit test. State the…
In the Star and Tribune newspaper, there is an article entitled "1 in 8 school buses fail tests." The article says that the overall statewide proportion of school buses that fail safety tests is 9%. However, one bus company has a higher rate of over 12%. Assume that we want a new estimate for the statewide proportion of school buses that fail the safety inspection. We take a sample of 500 buses and find that 90 buses fail the safety inspection. Based on the new sample data, I construct this 90% confidence interval estimate for p: 152 < p < .208. Explain what this confidence interval means. O I am 90% sure that the number of buses that fail the inspection is between.152 and .208. O I am 95% sure that the true proportion of buses that fail the inspection is between .152 and .208. O I am 90% sure that the proportion of buses in this sample that fail the inspection is between .152 and .208. O I am 90% sure that the true proportion of buses that fail the inspection is between .152 and .208.
In the Star and Tribune newspaper, there is an article entitled “1 in 8 school buses fail tests." The article says that the overall statewide proportion of school buses that fail safety tests is 9%. However, one bus company has a higher rate of over 12%. Assume that we want a new estimate for the statewide proportion of school buses that fail the safety inspection. We take a sample of 200 buses and find that 20 buses fail the safety inspection. If we construct a 95% confidence interval estimate for the true proportion of all Minnesota school buses that fail the safety tests, what is the upper limit of the interval? (Enter you answer including 3 decimal positions, e.g. .234)
Kindly assist with creating bar charts, or pie charts for the below results; Housekeeping respondents were questioned about their observations regarding changes or improvements in gender diversity over recent months or years. All respondents (100%) acknowledged witnessing recent promotions between both genders within Housekeeping and other departments. Similarly, 80% of Guest Services department respondents shared similar observations. Conversely, 75% of respondents from the food and beverage department indicated that they have not observed any changes or improvements in gender diversity, particularly within their own department.
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. In an upcoming decision to relocate, a new graduate’s decision on location choice comes down to housing prices. The following data are the monthly rental prices for a sample of unfurnished studio apartments in Concord, New Hampshire, and a sample of unfurnished studio apartments in Charleston, West Virginia: Concord$955 $980 $940 $975 $965 $990 $1,240 $1,120Charleston$725 $705 $695 $725 $690 $745 $575 $800a. For each set of data, compute the mean, median, mode, range, standard deviation, and coefficient of variation. b. What conclusions can you draw about unfurnished studio apartments renting in Concord versus Charleston? Compare and contrast.
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