Plant X is just like an ordinary plant in its infancy. After six months, however

Question

Plant X is just like an ordinary plant in its infancy. After six months, however, there is a chance that it will develop a pink tint in all of its leaves. Laura is an amateur biologist who loves the colour pink and has developed a particular chemical formula designed to increase the chances that Plant X will develop this tint after six months. In order to test whether this formula works, she sets up an experiment whereby 50 such plants are allowed to grow normally, and another 50 are given her special formula After a bit over six months, she records her observations in her diary. However, before she could do any testing on the data, her pet dog ate chunks out of her diary, leaving her with only a fraction of her initial observations. To make matters worse, her dog ate some of the plants as well! The following data was all she could recover from the remnants of her diary: Normal Formula Total No Tint Pink Tint Total 75 NB: results from the experiment show that exactly 40% of the plants developed a pink tint under normal circumstances! Being knowledgeable in statistics and two-way tables, you offer to help her finish her experiment. Laura wishes to know the proportion of formula-administered plants that developed the pink tint. Calculate this proportion using all the data given. Give your answer as a whole percentage Proportion

Explanation / Answer

Given,

Normal total = 50

Special total = 50

No tint total = 75

Pink tint and normal = 40% of 50 = 20

So,

Pink tint and formula = (100 - 75) - 20 = 5

Hence,

Required proportion = 5%

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