Identification/Observation 1. How is a statistical hypothesis best defined? Statistical hypothesis is testing inferences that would be predicted based on data that is given from a population. 2. According to the reading, what do large values of typically lead to? 3. Based on the value obtained from the rhino data, would you reject or fail to reject the null hypothesis that the sex ratio is 1:1? Explain your reasoning.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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Generally, large values of are highly improbable when the null hypothesis is true. (Note that if the
expected and observed values are exactly the same, takes on a value of zero). Statisticians have
computed the exact probabilities of obtaining different values of under a true null hypothesis. For
the example given above, the probability of obtaining ax of 3.84 (known as a critical value) or greater
when the null hypothesis is true is less than 0.05 (in other words, less than 5% of the time). If the
calculated value of is greater than this critical value, the null hypothesis is rejected in favor of the
alternative.
>>
Layout » Tell me
In the next class meeting you will work in groups of four to discuss the use of statistical
procedures in hypothesis testing. Each person in the group will act as the 'facilitator' for one question,
leading the group discussion, promoting input from each of the other students (who will be acting as
'discussants') and formalizing the group response. In the role of a discussant, students provide their
knowledge, experience and perspectives, compare and contrast the inputs of other members of the
group and collaborate in the formulation of the group response. At the end of the activity, you may be
called on to present your group's answers to one of the questions (not necessarily the one you were the
facilitator for). You will act as both a facilitator and a discussant in the activity.
Identification/Observation
1. How is a statistical hypothesis best defined?
Statistical hypothesis is testing inferences that would be predicted based on data that is given from a
population.
2. According to the reading, what do large values of typically lead to?
3. Based on the value obtained from the rhino data, would you reject or fail to reject the null
hypothesis that the sex ratio is 1:1? Explain your reasoning.
1064 wards
Formulation of a plan
4. Imagine that you are interested in testing whether or not a trait segregates in a 9:3:3:1 phenotypic
ratio. Formulate your null and alternative hypotheses for this scenario. How did you arrive at this
determination?
1
5. Suppose the test statistic had been computed as x²= 1.76. Based on this value, what would our
biologist do?
DII
F8
Calculation/Data Collection
6. Suppose that you expect a 2:1 male female sex ratio in a certain insect population. You collect 90
insects at random of which 70 are males and 20 are females. What is the expected number of males
under your null hypothesis?
7. Calculate the chi-square value for the example above.
9
V
Application/Analysis
8. Based on the x2 value calculated in question 7, would you reject or fail to reject the null hypothesis
in question 6? Explain your reasoning.
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Transcribed Image Text:a Home Insert Draw Design Lifetime F6 Paste & V 7 U Times New... V 12 F7 | | A A Aa A BIU✓ ab x₂ x² x ADA Page 2 of 3 * 8 ² Generally, large values of are highly improbable when the null hypothesis is true. (Note that if the expected and observed values are exactly the same, takes on a value of zero). Statisticians have computed the exact probabilities of obtaining different values of under a true null hypothesis. For the example given above, the probability of obtaining ax of 3.84 (known as a critical value) or greater when the null hypothesis is true is less than 0.05 (in other words, less than 5% of the time). If the calculated value of is greater than this critical value, the null hypothesis is rejected in favor of the alternative. >> Layout » Tell me In the next class meeting you will work in groups of four to discuss the use of statistical procedures in hypothesis testing. Each person in the group will act as the 'facilitator' for one question, leading the group discussion, promoting input from each of the other students (who will be acting as 'discussants') and formalizing the group response. In the role of a discussant, students provide their knowledge, experience and perspectives, compare and contrast the inputs of other members of the group and collaborate in the formulation of the group response. At the end of the activity, you may be called on to present your group's answers to one of the questions (not necessarily the one you were the facilitator for). You will act as both a facilitator and a discussant in the activity. Identification/Observation 1. How is a statistical hypothesis best defined? Statistical hypothesis is testing inferences that would be predicted based on data that is given from a population. 2. According to the reading, what do large values of typically lead to? 3. Based on the value obtained from the rhino data, would you reject or fail to reject the null hypothesis that the sex ratio is 1:1? Explain your reasoning. 1064 wards Formulation of a plan 4. Imagine that you are interested in testing whether or not a trait segregates in a 9:3:3:1 phenotypic ratio. Formulate your null and alternative hypotheses for this scenario. How did you arrive at this determination? 1 5. Suppose the test statistic had been computed as x²= 1.76. Based on this value, what would our biologist do? DII F8 Calculation/Data Collection 6. Suppose that you expect a 2:1 male female sex ratio in a certain insect population. You collect 90 insects at random of which 70 are males and 20 are females. What is the expected number of males under your null hypothesis? 7. Calculate the chi-square value for the example above. 9 V Application/Analysis 8. Based on the x2 value calculated in question 7, would you reject or fail to reject the null hypothesis in question 6? Explain your reasoning. x O = A Paragraph Styles Name F9 O Focus Comments F10 P F11 { [ + 11 F12 } Editing ] Dictate 100% Editor delete Share
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In this case, the mentioned paragraph is about Hypothesis Testing and Chi-square test.

 

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