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statistic. 21.4 Heat resistance in rice, continued. Exercise 21.2 investigated a genetic me of heat resistance in rice plants. What are the expected counts for each of theet phenotypes? Use these expected counts to compute the chi-square statistic.

statistic. 21.4 Heat resistance in rice, continued. Exercise 21.2 investigated a genetic me of heat resistance in rice plants. What are the expected counts for each of theet phenotypes? Use these expected counts to compute the chi-square statistic.

MATLAB: An Introduction with Applications
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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21.3 Saving birds from windows, continued. Exercise 21.1 described an exper- earth rather than sky can help reduce accidental bird strikes. Calculate the expected counts in each of the three conditions and compute the chi-square APPLY YOUR KNOWLEDGE 21.3 Saving birds from windows, continued. Exercise 21.1 described iment designed to figure out whether tilting windows down so that ther per- earth rather than sky can help reduce accidental bird strikes. Calcular ect statistic. 21.4 Heat resistance in rice, continued. Exercise 21.2 investigated a genetic me of heat resistance in rice plants. What are the expected counts for each of the t phenotypes? Use these expected counts to compute the chi-square statistic. bovisede THE CHI-SQUARE TEST FOR GOODNESS OF FIT Hypothesis tests require a set of null and alternative hypotheses, a test statistic. and a P-value that gives the probability if the null hypothesis was true of obtaining a test statistic at least as extreme as that computed. To obtain the P-value for a goodness-of-fit test, we need to have a known probability distribution for the test statistic, X². Deriving this distribution mathematically is beyond the scope of an introductory statistics textbook, so we will simply state the facts. When the null hypothesis is true, the X statistic follows a chi-square distribution. THE CHI-SQUARE DISTRIBUTIONS The chi-square distributions are a family of distributions that take only
Transcribed Image Text:21.3 Saving birds from windows, continued. Exercise 21.1 described an exper- earth rather than sky can help reduce accidental bird strikes. Calculate the expected counts in each of the three conditions and compute the chi-square APPLY YOUR KNOWLEDGE 21.3 Saving birds from windows, continued. Exercise 21.1 described iment designed to figure out whether tilting windows down so that ther per- earth rather than sky can help reduce accidental bird strikes. Calcular ect statistic. 21.4 Heat resistance in rice, continued. Exercise 21.2 investigated a genetic me of heat resistance in rice plants. What are the expected counts for each of the t phenotypes? Use these expected counts to compute the chi-square statistic. bovisede THE CHI-SQUARE TEST FOR GOODNESS OF FIT Hypothesis tests require a set of null and alternative hypotheses, a test statistic. and a P-value that gives the probability if the null hypothesis was true of obtaining a test statistic at least as extreme as that computed. To obtain the P-value for a goodness-of-fit test, we need to have a known probability distribution for the test statistic, X². Deriving this distribution mathematically is beyond the scope of an introductory statistics textbook, so we will simply state the facts. When the null hypothesis is true, the X statistic follows a chi-square distribution. THE CHI-SQUARE DISTRIBUTIONS The chi-square distributions are a family of distributions that take only
пр hree Pnle 21.2 the variable landing side had only two possible outcomes (legs, In Exend the two population proportions in Họ were 1/2 and 1/2. 4 Saving birds from windows. Many birds are injured or killed by flying into windows. It appears that birds don't see windows. Can tilting windows down so that they reflect earth rather than sky reduce bird strikes? Researchers placed six windows at the edge of a woods: two vertical, two tilted downward 20 degrees, and two tilted downward 40 degrees. During the next four months, there were 53 bird strikes: 31 on the vertical windows, 14 on the 20-degree windows, and 8 on the 40-degree windows. Does the tilt have an effect? State the null and alternative hypotheses. (a) Identify the variable and explain how you know that it is categorical. How many levels does this variable have? bom s g nanimobs no (b) State the null and alternative hypotheses that are appropriate for the study's objective. 21.2 Heat resistance in rice. Rice is one of the most widely consumed grains world- wide. As increasing global temperatures hamper rice production, scientists are searching for varieties exhibiting some degree of heat resistance. The HT54 vari- ety of the indica rice, Oryza sativa, was found to tolerate several days of high temperatures up to 48 degrees Celsius (118 degrees Fahrenheit) during its growth. Researchers performed a genetic crossing experiment between the heat-resistant HT54 variety and a control variety, HT13, without heat resistance. All seedlings in the first generation survived a heat challenge of 48 degrees Celsius. In the sec- ond generation (F2), only 548 of the 744 plants survived the heat challenge.4 This would suggest that heat resistance is carried by a single gene with a dominant allele and a recessive allele. Are the findings consistent with a simple dominant- recessive Mendelian genetic model in which F2 is made up of 75% dominant-trait (heat resistance) and 25% recessive-trait rice plants? eid (a) Identify the variable and explain how you know that it is categorical. How many levels does this variable have? (6) State the null and alternative hypotheses that correspond to the study's objective.
Transcribed Image Text:пр hree Pnle 21.2 the variable landing side had only two possible outcomes (legs, In Exend the two population proportions in Họ were 1/2 and 1/2. 4 Saving birds from windows. Many birds are injured or killed by flying into windows. It appears that birds don't see windows. Can tilting windows down so that they reflect earth rather than sky reduce bird strikes? Researchers placed six windows at the edge of a woods: two vertical, two tilted downward 20 degrees, and two tilted downward 40 degrees. During the next four months, there were 53 bird strikes: 31 on the vertical windows, 14 on the 20-degree windows, and 8 on the 40-degree windows. Does the tilt have an effect? State the null and alternative hypotheses. (a) Identify the variable and explain how you know that it is categorical. How many levels does this variable have? bom s g nanimobs no (b) State the null and alternative hypotheses that are appropriate for the study's objective. 21.2 Heat resistance in rice. Rice is one of the most widely consumed grains world- wide. As increasing global temperatures hamper rice production, scientists are searching for varieties exhibiting some degree of heat resistance. The HT54 vari- ety of the indica rice, Oryza sativa, was found to tolerate several days of high temperatures up to 48 degrees Celsius (118 degrees Fahrenheit) during its growth. Researchers performed a genetic crossing experiment between the heat-resistant HT54 variety and a control variety, HT13, without heat resistance. All seedlings in the first generation survived a heat challenge of 48 degrees Celsius. In the sec- ond generation (F2), only 548 of the 744 plants survived the heat challenge.4 This would suggest that heat resistance is carried by a single gene with a dominant allele and a recessive allele. Are the findings consistent with a simple dominant- recessive Mendelian genetic model in which F2 is made up of 75% dominant-trait (heat resistance) and 25% recessive-trait rice plants? eid (a) Identify the variable and explain how you know that it is categorical. How many levels does this variable have? (6) State the null and alternative hypotheses that correspond to the study's objective.
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