Question

Question 8 1 pts The National High School Health Survey (NHSHS) indicates that about 50% of 12th graders consume less than 300g of vegetables at lunch, about 40% consume 300-600g, and only 10% of them consume more than 600g. in A high school conducted a survey of student diets and health information, and reported data about 12th graders' vegetable intake at lunch: Total Vegetable Intake in gram < 300g 300g - 600g > 600g Frequency 150 278 98 526 Based on the data, the high school wants to find out whether they have the same proportions of 12th graders in the vegetable intake categories as reported by NHSHS. Can they reject the Ho? Yes. No. O Not enough information to answer this research question. O A statistical test cannot be conducted to answer this research question, because the assumption, Min[n*p1, np2, n*p3)] equal to or greater than 5, is violated.

Answer 1

degree of freedom =categories-1=			2
for 0.05 level and 2 degree of freedom :rejection region =					5.991		0.05
applying chi square goodness of fit test:

	relative	observed	Expected	residual	Chi square
category	frequency(p)	Oi	Ei=total*p	R2i=(Oi-Ei)/√Ei	R2i=(Oi-Ei)2/Ei
1	0.500	150.000	263.000	-6.97	48.551
2	0.400	278.000	210.400	4.66	21.719
3	0.100	98.000	52.600	6.26	39.186
total	1.000	526	526		109.456

as test statistic is in rejection region, reject Ho

Correct option is Yes