Question

Google the phrase “Do you like cilantro?” It is said that a person either loves or hates the taste of cilantro and there are very few people that don’t feel strongly about their like or dislike of the taste of cilantro. Scientists now think they have found a genetic reason for why people either love or hate cilantro. According to one study, it is estimated that 4 – 14 percent of the population hate the taste of cilantro and these numbers can vary by region or ethnicity.

In Texas, Tex-Mex or Mexican food is very popular. Cilantro is used as an ingredient or a garnish in Tex-Mex salsas and dishes.

Let’s say that based on experience, you believe that less than 15% of the population of your city dislike cilantro. To test this claim, you question 200 people randomly selected from your city about their like or dislike of the taste of cilantro and 32 of those questioned state that they dislike the taste of cilantro. Test your claim that less than 15% of the population of your city dislikes cilantro?

Note

The 15% does not represent a long-run proportion or probability of a process. It represents a proportion of a finite population that dislike the taste of cilantro. See Section 2.1 of your textbook for the validity conditions necessary to perform a test on a proportion from a finite population.

1. Can you use the theory-based applet on this problem? Explain why you either can or cannot use the theory-based applet.
2. What p-value did you obtain?
3. Explain the results of your test in terms of your claim that less than 15% of the population of your city dislikes cilantro.

No population size was given, question 1 asked if you can or cannot use the theory based applet to solve this problem. I guess my answer would be no, because we don't know what the population size would be RIGHT!!, how would we answer this problem?

Answer 1