. Researchers studying dogwood trees found that 90% of the dogwood trees of a standard strain die...

 

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Researchers studying dogwood trees found that 90% of the dogwood trees of a standard strain die within three years of planting in a particular industrial area. Martin, a researcher at a nearby university, is currently studying a new strain of dogwood tree, believed to be resistant to air pollution. In an initial phase of the study, Martin found that 41 seedlings of the new strain were planted in the area and 33 (80.49%) of them died in three years. 1. Martin wants to know if the new strain of dogwood tree is more resistant to air pollution than the standard strain. He formulates the following null hypothesis: The percentage of the new strain dogwood trees that die within three years is 90%, the same as the standard strain. What is the appropriate alternate hypothesis? A. HA: The percentage of new strain dogwood trees that die within three years is less than 90%. B. HA: The percentage of new strain dogwood trees that die within three years is more than 90%. C. HA: The percentage of new strain dogwood trees that die within three years is different than 90%. 2. The paragraph below describes how we might perform a randomization-based hypothesis test of the hypotheses in part (a). Fill in the blanks and select the appropriate drop-down choices to correctly describe how the test could be conducted. To setup a simulation for this situation, we let each new strain dogwood tree be represented with a card. To set up the null hypothesis model, we take 100 cards, 41 green cards to represent seedlings that die within 3 years and 59 white cards to represent seedlings that do not. Shuffle the cards and draw 6 replacement representing the sample in the researcher's study. Record the proportion of green this 3,000 times and plot the resulting sample proportions to construct the null distribution. cards with cards and call it sim. Repeat 3. Use the One Proportion Resampling Test app to conduct the simulation. Draw at least 3000 samples, then report your p-value from the app. Use this external link to the One Proportion Resampling Test if the app does not load properly on your computer. (Right click to open in a new tab or window.) Researchers studying dogwood trees found that 90% of the dogwood trees of a standard strain die within three years of planting in a particular industrial area. Martin, a researcher at a nearby university, is currently studying a new strain of dogwood tree, believed to be resistant to air pollution. In an initial phase of the study, Martin found that 41 seedlings of the new strain were planted in the area and 33 (80.49%) of them died in three years. 1. Martin wants to know if the new strain of dogwood tree is more resistant to air pollution than the standard strain. He formulates the following null hypothesis: The percentage of the new strain dogwood trees that die within three years is 90%, the same as the standard strain. What is the appropriate alternate hypothesis? A. HA: The percentage of new strain dogwood trees that die within three years is less than 90%. B. HA: The percentage of new strain dogwood trees that die within three years is more than 90%. C. HA: The percentage of new strain dogwood trees that die within three years is different than 90%. 2. The paragraph below describes how we might perform a randomization-based hypothesis test of the hypotheses in part (a). Fill in the blanks and select the appropriate drop-down choices to correctly describe how the test could be conducted. To setup a simulation for this situation, we let each new strain dogwood tree be represented with a card. To set up the null hypothesis model, we take 100 cards, 41 green cards to represent seedlings that die within 3 years and 59 white cards to represent seedlings that do not. Shuffle the cards and draw 6 replacement representing the sample in the researcher's study. Record the proportion of green this 3,000 times and plot the resulting sample proportions to construct the null distribution. cards with cards and call it sim. Repeat 3. Use the One Proportion Resampling Test app to conduct the simulation. Draw at least 3000 samples, then report your p-value from the app. Use this external link to the One Proportion Resampling Test if the app does not load properly on your computer. (Right click to open in a new tab or window.)

Answer rating: 100% (QA)

1 The appropriate alternate hypothesis is C HA The percentage of new strain dogwood trees that die within three years is different than 90 2 To setup ... View the full answer