Declan believes over 20% of students eat a least 5 portions of fruit and veg everyday. Declan asks the 25 students in his other statistics classes and 8 of them say they eat at least 5 portions of fruit and veg every day.

Assuming that these 25 students may be considered to be a random sample, carry out a hypothesis test at he 5% significance level to investigate whether Declan's belief is supported by this evidence

H0 : p = 0.2 (20%) , H1 : p > 0.2 (alternate hypothesis, which is later not needed) , X = number of students eating 5 fruit/veg , X~B(25,0.2)

p(x≥8) = 1-p(x≤7) = 0.109 , 0.109 > 0.05 (5%) therefore insufficient evidence at the 5% to suggest H0 is false

We accept H0 therefore the result suggests the percentage of students eat at least 5 fruit/veg per day is 20%

	Created by Doc Boff over 7 years ago

Significance Tests (notes)