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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

by | Sep 8, 2023 | statistics

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%?
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 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.
OHP = 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
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Transcribed Image Text: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%?
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 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.
OHP = 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
  

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