Question

In the production of a plant, a treatment is being evaluated to germinate seed. From a total of 60 seed it was observed that 37 of them germinated. Is it possible to claim that most of the seed will germinate? Consider a confidence level of 95%.

Answer 1

More than 50% would germinate

Explanation:

Given that in the production of a plant, a treatment is being evaluated to germinate seed. From a total of 60 seed it was observed that 37 of them germinated

Let us check whether more than 50% will germinate using hypothesis test

`H_0: p = 0.50\\H_a: p>0.50\\`

(right tailed test)

Sample proportion p =
`(37)/(60) =0.617\\q = 0.383\\Std error = \sqrt{(pq)/(n) } =0.0628`

p difference = 0.117

Test statistic Z = p difference/std error = 1.864

p value =0.0312

Since p value <0.05 our significance level of 5% we reject null hypothesis

It is possible to claim that most of the seed will germinate (i.e. more than 50%)