1. In an experiment on the effect of a growth regulator on fruit set in muskmelon it was found that of 25 treated plants, 16 showed fruit set while of 25 untreated plants, 5 showed fruit set.
(a) Create a contingency table reflecting these results.
(b) Write an appropriate null hypothesis for the experiment.
(c) If the computed test statistic was 9.93 and the critical value was 12.85, what would be the statistical conclusion?
Treated Plants | Untreated Plants | Row Total | |
Showed Fruit Set | 16 | 5 | 21 |
Not Showed Fruit Set | 9 | 20 | 29 |
Column Total | 25 | 25 | 50 |
a) Contingency table
Treated Plants | Untreated Plants | |
Showed Fruit Set | 10.5 | 10.5 |
Not Showed Fruit Set | 14.5 | 14.5 |
Contingency values = (row total*column total)/total
b) H0: Growth regulator has no effect fruit set
H1: Growth regulator has an effect fruit set
c) Since test statistic is less than critical value, we do not reject the null hypothesis.
So, growth regulator has no effect fruit set.
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