A survey 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. Report the standard error of the sample proportion Report the margin of error for the population proportion with 95% confidence. Find the 95% large-sample confidence interval for the population proportion. You want to examine if this is significantly different from the population of New Zealanders which sits at about 12%. State the null and alternative hypotheses. Note the alternative hypothesis is tricky as this will be a case where it is different. Calculate the standard error for the proportion. Calculate the z-score for the problem. Locate and calculate the p-value for the given problem. Using a 5% alpha level, is this result significant?
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Adi S.
A new soft drink is being market tested. It is estimated that 60% of consumers will like the new drink. A sample of 69 taste-tested the new drink. a. Determine the standard error of the proportion b. What is the probability that more than 70.4% of consumers will indicate they like the drink? c. What is the probability that more than 30% of consumers will indicate they do NOT like the drink?
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