8.42 8.24 Soft drink consumption in New Zealand. A sur- vey commissioned by the

Question

8.42
8.24 Soft drink consumption in New Zealand. A sur- vey commissioned by the Southern Cross Healthcare Group reported that 16% of New Zealanders consume five or more servings of soft drinks per week. The data were obtained by an online survey of 2006 randomly selected New Zealanders over 15 years of age. (a) What number of survey respondents reported that they consume five or more servings of soft drinks per week? You will need to round your answer. Why? (b) Find a 95% confidence interval for the proportion of New Zealanders who report that they consume five or more servings of soft drinks per week.

Explanation / Answer

Compute Sample Size ( n ) = n=(Z/E)^2*p*(1-p)
Z a/2 at 0.05 is = 1.96
Sample Proportion = 0.2
ME = 0.08
n = ( 1.96 / 0.08 )^2 * 0.2*0.8
= 96.04 ~ 97

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