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%.
Accepted Solution
A:
Answer:More than 50% would germinateStep-by-step 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 germinatedLet us check whether more than 50% will germinate using hypothesis test[tex]H_0: p = 0.50\\H_a: p>0.50\\[/tex](right tailed test)Sample proportion p =[tex]\frac{37}{60} =0.617\\q = 0.383\\Std error = \sqrt{\frac{pq}{n} } =0.0628[/tex]p difference = 0.117Test statistic Z = p difference/std error = 1.864p value =0.0312Since p value <0.05 our significance level of 5% we reject null hypothesisIt is possible to claim that most of the seed will germinate (i.e. more than 50%)