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Suppose that 10% of the fields in a given agricultural area are infested with the sweet potato whitefly. One hundred fields in this area are randomly selected, and 40 are found to be infested with whitefly. USE SALT

Suppose that 10% of the fields in a given agricultural area are infested with the sweet potato whitefly. One hundred fields in this area are randomly selected, and 40 are found to be infested with whitefly. USE SALT

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
Section: Chapter Questions
Problem 8CR
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Suppose that 10% of the fields in a given agricultural area are infested with the sweet potato whitefly. One hundred fields in this area are randomly selected, and 40 are found to be infested with whitefly. USE SALT (a) Assuming that the experiment satisfies the conditions of the binomial experiment, do the data indicate that the proportion of infested fields is greater than expected? Use the p-value approach, and test using a 5% significance level. State the null and alternative hypotheses. O Ho: P < 0.1 versus H₂: p > 0.1 O Ho: P = 0.1 versus H₂: p < 0.1 O Ho: P = 0.1 versus H₂: p = 0.1 O Ho: P = 0.1 versus H₂: p = 0.1 O Ho: P = 0.1 versus H₂: p > 0.1 Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. O Since the p-value is less than 0.05, Ho is rejected. There is sufficient evidence to indicate that the proportion of infested fields is larger than expected. O Since the p-value is greater than 0.05, Ho is not rejected. There is insufficient evidence to indicate that the proportion of infested fields is larger than expected. O Since the p-value is greater than 0.05, Ho is rejected. There is insufficient evidence to indicate that the proportion of infested fields is larger than expected. O Since the p-value is less than 0.05, Ho is not rejected. There is sufficient evidence to indicate that the proportion of infested fields is larger than expected. (b) If the proportion of infested fields is found to be significantly greater than 0.10, why is this of practical significance to the researcher? What practical conclusions might she draw from the results? O The agronomist may determine that because the proportion of infested fields was not unusual, no action needs to be taken. O The agronomist may determine that because the proportion of infested fields was not unusual, the sampling method was not random. O The agronomist may determine that an unusually low proportion of infested fields might indicate a contagious disease. O The agronomist may determine that because the proportion of infested fields was unusual, no action needs to be taken. O The agronomist may determine that an unusually high proportion of infested fields indicates a contagious disease.
Transcribed Image Text:Suppose that 10% of the fields in a given agricultural area are infested with the sweet potato whitefly. One hundred fields in this area are randomly selected, and 40 are found to be infested with whitefly. USE SALT (a) Assuming that the experiment satisfies the conditions of the binomial experiment, do the data indicate that the proportion of infested fields is greater than expected? Use the p-value approach, and test using a 5% significance level. State the null and alternative hypotheses. O Ho: P < 0.1 versus H₂: p > 0.1 O Ho: P = 0.1 versus H₂: p < 0.1 O Ho: P = 0.1 versus H₂: p = 0.1 O Ho: P = 0.1 versus H₂: p = 0.1 O Ho: P = 0.1 versus H₂: p > 0.1 Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. O Since the p-value is less than 0.05, Ho is rejected. There is sufficient evidence to indicate that the proportion of infested fields is larger than expected. O Since the p-value is greater than 0.05, Ho is not rejected. There is insufficient evidence to indicate that the proportion of infested fields is larger than expected. O Since the p-value is greater than 0.05, Ho is rejected. There is insufficient evidence to indicate that the proportion of infested fields is larger than expected. O Since the p-value is less than 0.05, Ho is not rejected. There is sufficient evidence to indicate that the proportion of infested fields is larger than expected. (b) If the proportion of infested fields is found to be significantly greater than 0.10, why is this of practical significance to the researcher? What practical conclusions might she draw from the results? O The agronomist may determine that because the proportion of infested fields was not unusual, no action needs to be taken. O The agronomist may determine that because the proportion of infested fields was not unusual, the sampling method was not random. O The agronomist may determine that an unusually low proportion of infested fields might indicate a contagious disease. O The agronomist may determine that because the proportion of infested fields was unusual, no action needs to be taken. O The agronomist may determine that an unusually high proportion of infested fields indicates a contagious disease.
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