IGNOU AST 1 2018 - 1000 students at college level were graded according to their IQ level

Question

1000 students at college level were graded according to their IQ levels and the economic condition of their parents, as follow:

Economic condition	IQ level
Economic condition	High	Low	Total
Rich	230	170	400
Poor	230	130	600
Total	700	300	1000

Test the hypothesis that the IQ levels are independent of the economic conditions at
1% level of significance

07 Mar 2018

Answer :

Word Count : 430

To test the hypothesis that IQ levels are independent of the economic condition of parents, we can use the Chi-square test for independence. The null hypothesis (H₀) assumes that IQ levels are independent of the economic condition, while the alternative hypothesis (H₁) assumes that they are dependent.

Step 1: State the observed frequencies

The observed frequency table is:

Economic Condition	High IQ	Low IQ	Total
Rich	230	170	400
Poor	230	130	600
Total	700	300	1000

Step 2: Calculate expected frequencies

The expected frequency

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