Introduction to Statistics and Data Analysis
Introduction to Statistics and Data Analysis
5th Edition
ISBN: 9781305115347
Author: Roxy Peck; Chris Olsen; Jay L. Devore
Publisher: Brooks Cole
bartleby

Videos

Textbook Question
Book Icon
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)?

Blurred answer
Students have asked these similar questions
An engineer is comparing voltages for two types of batteries (K and Q) using a sample of 35 type K batteries and a sample of 44 type Q batteries. The type K batteries have a mean voltage of 8.56, and the population standard deviation is known to be 0.565. The type Q batteries have a mean voltage of 8.74, and the population standard deviation is known to be 0.307. Conduct a hypothesis test for the conjecture that the mean voltage for these two types of batteries is different. Let µj be the true mean voltage for type K batteries and µ2 be the true mean voltage for type Q batteries. Use a 0.05 level of significance. Step 3 of 4: Determine the decision rule for rejecting the null hypothesis Ho. Round the numerical portion of your answer to two decimal places.
According to a certain government agency for a large country, the proportion of fatal traffic accidents in the country in which the driver had a positive blood alcohol concentration (BAC) is 0.34. Suppose a random sample of 106 traffic fatalities in a certain region results in 48 that involved a positive BAC. Does the sample evidence suggest that the region has a higher proportion of traffic fatalities involving a positive BAC than the country at the a= 0.01 level of significance? .... Because npo (1- Po) =| 10, the sample size is 5% of the population size, and the sample the requirements for testing the hypothesis satisfied. (Round to one decimal place as needed.) What are the null and alternative hypotheses? versus H1: Ho: (Type integers or decimals. Do not round.) Find the test statistic, zo. Zo = (Round to two decimal places as needed.) Find the P-value. P-value = (Round to three decimal places as needed.) %3D Determine the conclusion for this hypothesis test. Choose the correct…
A comparison between species: Biologists wish to compare the prevalence of a genetic mutation across two species of space aliens. In a sample of 6 space aliens of Species I, 0.6% had the mutation while in a sample of 14 space aliens of Species II, 1.1% showed the mutation. Is there significant evidence to suggest a difference in the prevalence of the mutation across the two species? Conduct a hypothesis test at a significance level of a = 0.01. a) The hypotheses for this test are: O Họ: PII = 0.006 Hạ: PII = 0.006 O Họ: PI - PII = 0 Hạ: PI - PII 0 What is the test statistic for this test? test statistic = (Report answer accurate to 2 decimal places.) What is the p-value for this test? p-value = (Report answer accurate to 4 decimal places.) The decision reached is O Fail to reject Họ O Reject Ho and accept Ha As such, the final conclusion is that O The prevalence of the mutation is the same for both species. O There is significant evidence that suggests no difference in the prevalence…

Chapter 12 Solutions

Introduction to Statistics and Data Analysis

Knowledge Booster
Background pattern image
Statistics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Text book image
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Text book image
College Algebra
Algebra
ISBN:9781938168383
Author:Jay Abramson
Publisher:OpenStax
Hypothesis Testing using Confidence Interval Approach; Author: BUM2413 Applied Statistics UMP;https://www.youtube.com/watch?v=Hq1l3e9pLyY;License: Standard YouTube License, CC-BY
Hypothesis Testing - Difference of Two Means - Student's -Distribution & Normal Distribution; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=UcZwyzwWU7o;License: Standard Youtube License