Question

In a survey of 200 girls of which 40% were intelligent, 30% had uneducated fathers, while 20% of the unintelligent girls had educated fathers. Do these figures support the hypothesis that educated fathers have intelligent girls? Test at 5% level of significance. (Table value of x2 = 3.84)

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Answer 1

Answer:

Step-by-step explanation:

Given in the question that in a survey of 200 girls of which 40% were intelligent, 30% had uneducated fathers, while 20% of the unintelligent girls had educated fathers.

Let the null hypothesis be that the education of fathers has no effect on the intelligence of girls.

(refer to the table attached)

Expected frequencies are given in brackets and are calculated by multiplying row total by column total and then dividing it by gross total.

χ² = ∑ (O-E)²

= (40 – 30)²/30 + (40-50)²/50 + (35 – 45)²/45 + (85-75)²/75

= 8.88

Since the calculated value is higher than the tabular value of 3.841, so we reject the null hypothesis i.e. The education of fathers has an effect on the intelligence of boys.

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