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My hypothesis is: New grass that is given too much water will grow toadstools. A

ID: 3247671 • Letter: M

Question

My hypothesis is: New grass that is given too much water will grow toadstools.

A Type II error might occur if your data analysis fails to support your hypothesis. Results indicate that no toadstools grow with an excess of water when, in the general population, toadstools do grow with an excess of water.

1.    Whether the investigator should run a 1-tailed test or a 2-tailed test based on the way the hypothesis is written.

2.    How a Type I error might occur with this hypothesis

3.    How a Type II error might occur with this hypothesis

Explanation / Answer

Answer to the questions below:

1. You can have a 1-tailed hypothesis which looks something like this: Ho: Mu>x units,
Ha: Mu<=x units. This means that if the grass are given excess water then the growth in
grass is significantly higher than x units.

2. Type I error is the incorrect rejection of a true null hypothesis (a "false positive")
Hence, type I should say "that we have got in our sample that there is no significant increase
in toadstools although grass was watered excessively.

3. Type II error is incorrectly retaining a false null hypothesis (a "false negative").
Hence, concluding that there toadstool grow on excess being excessive watering of grass even
though that' not the case in the sample is a case of Type II error

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