Question

An administrator has hypothesized that student major preference within the College of Science differs in the current academic year compared to previous years. Using a sample of undeclared undergraduates, intended majors were recorded and compared to the mean percentages computed from several prior years (see table below). Complete the table, provide the requested information, and perform a chi-square goodness-of-fit test. Use an alpha of .05.

Major	Reported	Mean %	Expected	Chi Square (round to two decimal places)
Biology	90	40
Chemistry	25	15
Environmental Science	12	5
Physics	19	10
Psychology	54	30
N =	200	100

χ²_obt =

df =

χ²_cv =

Concerning the above question, type your results and interpretation in an APA formatted paragraph.

Answer 1

ANSWER::

Chi square test for goodness of fit:

Expected count=200*pi

Major	fo	pi	fe	Chi square=(fo-fe)^2/fe
Biology	90	0.4	80	1.250
Chemistry	25	0.15	30	0.833
Environmental	12	0.05	10	0.400
Physics	19	0.1	20	0.050
Psychology	54	0.3	60	0.600
Total	200	1	200	3.133

Test statistic:

Chi square=3.133

df=5-1=4

p-value=CHIDIST(3.133,4)=0.5358

Fail to reject the null hypothesis.

not significant.

There is not sufficient evidence to conclude that major preference within the college of science differs in the current academic year compared to previous years.

(OR) TRY THIS ANSWER

Expected Values are Calculated by

Expected Value =N*p_i   

now

Major	Reported	Mean %	Expected
Biology	90	40	80
Chemistry	25	15	30
Environmental Science	12	5	10
Physics	19	10	20
Psychology	54	30	60
N	200

Now chi square statistics is given by

Chi square DF=r-1=5-1=4

Now P Value is given by

P-Value =P( Chi square >3.133)=0.54

P-Value is very high so we failed to reject H0, therefore, there is no evidence to reject the claim that intended major proportions is the same as that of the prior year .

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