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What percentage of people prefer waffles over pancakes?

User MikG
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1 Answer

4 votes

Final answer:

The question regarding preferences for waffles over pancakes cannot be answered with the information provided, while the second part of the question concerning a taste test for Brand A should involve a binomial distribution for hypothesis testing.

Step-by-step explanation:

Your question about what percentage of people prefer waffles over pancakes is not directly answered by the information given.

The statistical data you referenced from the Pew Research Center does not pertain to preferences between waffles and pancakes, but rather it discusses internet access methods among different racial groups in the U.S. However, the second part of your question about a taste test involving Brand A can be addressed.

When you're looking to compare the proportion of respondents who prefer Brand A to a known percentage, you should use a binomial distribution for a hypothesis test if the sample size is sufficiently large and the expected number of successes np and failures n(1-p) are both greater than 5.

But for smaller sample sizes or for greater accuracy, you would use the exact binomial test. If your sample size is large, which it is with 100 people, and the expected successes and failures are both greater than 5, you could also use a normal approximation to the binomial distribution.

User Roger Gee
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8.4k points
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