Introduction to Statistics and Data Analysis
5th Edition
ISBN: 9781305445963
Author: PECK
Publisher: Cengage
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Chapter 12.1, Problem 12E
A certain genetic characteristic of a particulai plant can appear in one of three forms (phenotypes).
A researcher has developed a theory, according to which the hypothesized proportions are p1 = .25, p2 = .50, and p3 = .25. A random sample of 200 plants yields X2 = 4.63.
a. Carry out a test of the null hypothesis that the theory is correct, using level of significance α = .05.
b. Suppose that a random sample of 300 plants had resulted in the same value of X2. How would your analysis and conclusion differ from those in Part (a)?
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A genetic theory says that a cross between two pink flowering plants will produce red flowering plants 25% of the time. To test the theory, 100 crosses are made and 33 of them produce a red flowering plant. Is this strong evidence that the theory is wrong? Carry out the appropriate hypothesis test at the 5% significance level.The appropriate hypothesis for this test is
H0: x = 0.25 vs. HA: x ≠ 0.25
H0: p̂ = 0.25 vs. HA: p̂ ≠ 0.25
H0: p = 0.25 vs. HA: p ≠ 0.25
H0: μ = 0.25 vs. HA: μ ≠ 0.25
The test statistic is (to two places after decimal)the p-value is (to three places after decimal)There ___ enough statistical evidence to conclude that the theory is wrong.
A genetic theory says that a cross between two pink flowering plants will produce red flowering plants 25% of the time. To test the theory, 100 crosses are made and 26 of them produce a red flowering plant. Is this strong evidence that the theory is wrong? Carry out the appropriate hypothesis test at the 5% significance level.The appropriate hypothesis for this test is
A. H0: μ = 0.25 vs. HA: μ ≠ 0.25
B. H0: p̂ = 0.25 vs. HA: p̂ ≠ 0.25
C. H0: x = 0.25 vs. HA: x ≠ 0.25
D. H0: p = 0.25 vs. HA: p ≠ 0.25
The test statistic is ( ) (to two places after decimal)the p-value is ( ) (to three places after decimal)There (is/is not) enough statistical evidence to conclude that the theory is wrong.
A genetic theory says that a cross between two pink flowering plants will produce red flowering plants 25% of the time. To test the theory, 100 crosses are made and 37 of them produce a red flowering plant. Is this strong evidence that the theory is wrong? Carry out the appropriate hypothesis test at the 5% significance level.The appropriate hypothesis for this test is
H0: x = 0.25 vs. HA: x ≠ 0.25H0: μ = 0.25 vs. HA: μ ≠ 0.25 H0: p̂ = 0.25 vs. HA: p̂ ≠ 0.25H0: p = 0.25 vs. HA: p ≠ 0.25
The test statistic is (to two places after decimal)the p-value is (to three places after decimal)There enough statistical evidence to conclude that the theory is wrong.
Chapter 12 Solutions
Introduction to Statistics and Data Analysis
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