The Pew Research Center conducted a survey of a random sampl

The Pew Research Center conducted a survey of a random sample of U.S. adults in August 15-25, 2014. One question that the adults were asked was \"Does science sometimes conflict with your own religious beliefts?\" Out of 2,002 adults, 600 responded yes, that science sometimes conflicts with their own religious beliefs.

Research Question: Is there evidence that the population proportion of U.S. adults in August 15-25, 2015 that would respond yes, that science sometimes conflicts with their own religious beliefs, is less than 1/3?

a) Explain why it would be more appropriate to conduct a hypothesis test to answer the research question instead of a confidence interval?

b) What are the appropriate hypothesis statements?

Solution

A. confidence interval wont be enough because here I think its better to work on with proportions

B. H0 : P < 1/3

HA: P greater than or equal to 1/3