The U.S. Federal Seed Act establishes germination rates for various fruit and vegetable seeds. Watermelon seeds are to meet a 70% germination standard. A skeptical gardener who has not had very good luck planting watermelons believes that the seed company hepurchases seeds from is not adhering to the 70% federal mandate. Once a week for 12 weeks, he purchases a pack of 10 watermelon seeds to act as his sample. He plants the seeds in a greenhouse with good soil to maintain a consistent temperature and wateringroutine. He finds that the germination rate for the company's watermelon seeds is 60%. Is this convincing evidence that the proportion of watermelon seeds that germinate is less than 70%?LAUSE SALT(a) Compute a 95% confidence interval to estimate the proportion of watermelon seeds that germinate. Interpret your interval. (Round your answers to three decimal places.)and a upper value ofBased upon this sample, we can be 95% confident that the true proportion of watermelon seeds that germinate is between a lower value of(b) Define the population parameter of interest.Op = the proportion of watermelon seeds that germinate in the sampleOp the proportion of all watermelon seeds that fail to germinatep= the proportion of all watermelon seeds that germinateOp the proportion of seeds that germinateNOT(c) State the null and alternative hypotheses.OHP = 0.6H:P < 0.6OH: P = 0.6H: P = 0.6O Ho: P = 0.70H: P + 0.70ⒸH: P = 0.70H: P < 0.70

We have given that p̂ = 0.60 n = 12*10 = 120 Confidence level (c) = 95% = 0.95Significance level (α)…

The U.S. Federal Seed Act establishes germination rates for various fruit and vegetable seeds. Watermelon seeds are to meet a 70% germination standard. A skeptical gardener who has not had very good luck planting watermelons believes that the seed company he purchases seeds from is not adhering to the 70% federal mandate. Once a week for 12 weeks, he purchases a pack of 10 watermelon seeds to act as his sample. He plants the seeds in a greenhouse with good soil to maintain a consistent temperature and watering routine. He finds that the germination rate for the company's watermelon seeds is 60%. Is this convincing evidence that the proportion of watermelon seeds that germinate is less than 70%? LUSE SALT (a) Compute a 95% confidence interval to estimate the proportion of watermelon seeds that germinate. Interpret your interval. (Round your answers to three decimal places.) and a upper value of Based upon this sample, we can be 95% confident that the true proportion of watermelon seeds that germinate is between a lower value of (b) Define the population parameter of interest. Op = the proportion of watermelon seeds that germinate in the sample Op the proportion of all watermelon seeds that fail to germinate p= the proportion of all watermelon seeds that germinate Op the proportion of seeds that germinate NOT (c) State the null and alternative hypotheses. O Ho: P = 0.6 H:P < 0.6 OH: P = 0.6 H: P = 0.6 O Ho: P = 0.70 H: P + 0.70 ⒸH: P = 0.70 H: P < 0.70

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.4: Collecting Data

Problem 3E