Quiz #17 In the article \"Drowning Deaths of Zero to Five Year Old Children in V
ID: 3361214 • Letter: Q
Question
Quiz #17 In the article "Drowning Deaths of Zero to Five Year Old Children in Victorian Dams", Bugeja and Franklin examined drowning deaths of young children in Victorian dams to identify common contributing factors and develop strategies for future prevention. Of 11 young children who drowned in Victorian dams located on farms, 5 were girls. At the 1% significance level, do the data provide sufficient evidence to conclude that, of all young children drowning in Victorian dams located of farms, less than half are girls?Explanation / Answer
H0 : proportion of girls drowning I Victorian dams located of farms is ½ that is p = 1/2
H1 : proportion of girls drowning I Victorian dams located of farms is less than ½ that is p < ½
x =5 and n=11
p = 5/11
p0 (hypothesized population proportion) = 1/2
z = p – p0 / [p0(1-p0)/n]
z = 0.4545 – 0.5 / 0.15076
z = -0.30180
To find p-value, use excel function, =normsdist(z). Here, =normsdist(-0.30180)
p-value = 0.381707
Since, the p-value(0.381707) > 0.01, we accept the null hypothesis and hence conclude proportion of girls drowning I Victorian dams located of farms is ½ .