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2. A manufacturer of automatic washers offers a model in one of three colors: A, B, or C. Of the first 1000 washers sold, 400 were of color A. Would you conclude that customers have a preference for color A? Justify your answer. Assume that "the first 1000 washers sold" is a random sample. 3. In March 2001, a Gallup poll asked, "How would you rate the overall quality of the environment in this country today-as excellent, good, fair or poor?" Of 1060 adults nationwide, 46% gave a rating of excellent or good. Is this convincing evidence that a majority of the nation's adults think the quality of the environment is fair or poor? Test using a = .05.

2. A manufacturer of automatic washers offers a model in one of three colors: A, B, or C. Of the first 1000 washers sold, 400 were of color A. Would you conclude that customers have a preference for color A? Justify your answer. Assume that "the first 1000 washers sold" is a random sample. 3. In March 2001, a Gallup poll asked, "How would you rate the overall quality of the environment in this country today-as excellent, good, fair or poor?" Of 1060 adults nationwide, 46% gave a rating of excellent or good. Is this convincing evidence that a majority of the nation's adults think the quality of the environment is fair or poor? Test using a = .05.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 3E
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Please answer questions 2 & 3

Lab 8-Hypothesis Testing (One Sample) For each hypothesis test, you must include the following: Identification of the appropriate test to use Null and alternative hypothesis with a labeled claim Test Statistic P-Value A sketch of the critical region(s) with the test statistic clearly labeled Justification for rejecting or failing to reject the null hypothesis A complete sentence conclusion which includes the original claim. Part 1. Proportion 1. According to the Washington Post, nearly 45% of all Americans are born with brown eyes, although their eyes don't necessarily stay brown. A random sample of 80 adults found 32 with brown eyes. Is there sufficient evidence (at the 0.01 significance level) to indicate that the proportion of brown-eyed Sample size = 80 adults differs from the proportion of Americans who are born with brown eyes? SEP Number of adults found w/ brown eyes = 32 Population proportion: 0.45 Test used: Z test P^= x/M = 32/80 = 0,40 Null hypothesis Ho: p = 0.45 Alternative hypothesis. Ha: p = 0.45 Test statistic: X= p^-p/ p(¹-P)/n = 0,40 -0.45 / 0.45(1-0.45) / 80 reject Ho = -0,05 / 0,055621 = 0,8989 |2|= 0,8989 #P-value- using excel = 2*NORM DIST (0,8989,0,1,true) Since P value equals 0.3687>0.01 dont There is no evidence to support the claim that the population proportion of brown adults differ from 0,45 at X = 0,01 eye significance level. = p-value: 0,368706≈ 0.3687, 2. A manufacturer of automatic washers offers a model in one of three colors: A, B, or C. Of the first 1000 washers sold, 400 were of color A. Would you conclude that customers have a preference for color A? Justify your answer. Assume that "the first 1000 washers sold" is a random sample. 3. In March 2001, a Gallup poll asked, "How would you rate the overall quality of the environment in this country today-as excellent, good, fair or poor?" Of 1060 adults nationwide, 46% gave a rating of excellent or good. Is this convincing evidence that a majority of the nation's adults think the quality of the environment is fair or poor? Test using a = .05. SEP
Transcribed Image Text:Lab 8-Hypothesis Testing (One Sample) For each hypothesis test, you must include the following: Identification of the appropriate test to use Null and alternative hypothesis with a labeled claim Test Statistic P-Value A sketch of the critical region(s) with the test statistic clearly labeled Justification for rejecting or failing to reject the null hypothesis A complete sentence conclusion which includes the original claim. Part 1. Proportion 1. According to the Washington Post, nearly 45% of all Americans are born with brown eyes, although their eyes don't necessarily stay brown. A random sample of 80 adults found 32 with brown eyes. Is there sufficient evidence (at the 0.01 significance level) to indicate that the proportion of brown-eyed Sample size = 80 adults differs from the proportion of Americans who are born with brown eyes? SEP Number of adults found w/ brown eyes = 32 Population proportion: 0.45 Test used: Z test P^= x/M = 32/80 = 0,40 Null hypothesis Ho: p = 0.45 Alternative hypothesis. Ha: p = 0.45 Test statistic: X= p^-p/ p(¹-P)/n = 0,40 -0.45 / 0.45(1-0.45) / 80 reject Ho = -0,05 / 0,055621 = 0,8989 |2|= 0,8989 #P-value- using excel = 2*NORM DIST (0,8989,0,1,true) Since P value equals 0.3687>0.01 dont There is no evidence to support the claim that the population proportion of brown adults differ from 0,45 at X = 0,01 eye significance level. = p-value: 0,368706≈ 0.3687, 2. A manufacturer of automatic washers offers a model in one of three colors: A, B, or C. Of the first 1000 washers sold, 400 were of color A. Would you conclude that customers have a preference for color A? Justify your answer. Assume that "the first 1000 washers sold" is a random sample. 3. In March 2001, a Gallup poll asked, "How would you rate the overall quality of the environment in this country today-as excellent, good, fair or poor?" Of 1060 adults nationwide, 46% gave a rating of excellent or good. Is this convincing evidence that a majority of the nation's adults think the quality of the environment is fair or poor? Test using a = .05. SEP
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