Question

A survey of a random sample of 210 male teens and 228 female teens, ages 13 years to 17 years, found that 122 of the male teens and 160 of the female teens brush their teeth at least twice a day. if there is no difference between the proportions in the population of all male and female teens ages 13 years to 17 years who brush their teeth at least twice a day, approximately how many males and females in the sample would be expected to brush their teeth at least twice a day?.

Answer 1

The number of expected males and females to brush their teeth at least twice a day are : 135 males and 147 females.

What is proportion?

Proportion refers to the part of the things or numbers which are comparable with each other. For example: the weight of the Rahul is 70kgs and weight of the Mohan is 100kgs. Thus the Mohan's weight is greater than the Rahul's weight.

The pooled samples by combining the sample proportion to that of the successes in the each samples and combining the sample sizes.

P^ = (122+160)/(210+228)= 282/438

Then multiply this pooled sample with the two sample sizes:

Expected males = n1*^p = 210(282/438) = 135.21

expected females =n2*^p = 228(282/438) = 146.79

Thus the expected numbers of males are 135 and expected numbers of females are 147.

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