In the past it was known that the proportion of the US population who supported

Question

In the past it was known that the proportion of the US population who supported vaccinations was 78.5%. Recently a random survey of 2001 individuals was taken. In that survey only 76.2% said they supported vaccinations. Using the output below, is there evidence to suggest that support has now dropped (dropped below 78.5%)? Standard Between Hypothesis test results: Outcomes in SupportVac Success: Yes p: Proportion of successes Ho : p = 0.785 HA p 78.5, the p-value is less than 5%, there is no evidence to suggest a drop in support. 76.2 against HA:pc 76.2, the p-value is greater than 5%, there is no evidence to suggest a drop in support. 78.5 against HA:p

Explanation / Answer

Solution

1) H0 : p>=78.5 against Ha : p<78.5 , the p value is less than 5% , thus there is evidene to suggest there has been a drop in support.

2) The true p value is calculated using the binomial distribution, whereas the p value given in the starrtcrunch output is based on the normaldistribution, which is an approximation of the true p - value

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