The hypothesized developmental differences

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Reference no: EM1321289

Question: Deficits in speech acquisition often occur when a child has hearing difficulty or is slow to develop the motor functions associated with speech. Other deficits in speech acquisition are of unknown origin. Males generally develop physiologically at a slower rate than females, & in a recent large study of speech development in young children, investigators hypothesized that a greater proportion of boys would have speech deficits for this reason. A random sample of healthy two-year-olds was followed over the course of a year. At age 3, each child was classified as having a speech delay or not.

Gender	Speech delay	No speech Delay	Total
Male	22	280	302
Female	78	259	337
Total	100	539	639

Let π₁ & π₂ be the proportion of males who have a speech delay & the proportion of females who have a speech delay, respectively. At the 0.05 significance level do the data provide evidence of the hypothesized developmental differences?

Reference no: EM1321289

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