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?

Run Applet

Navigate to theRossman Chance Applets.Links to an external site.

Use the Theory-Based Inference model to answer the questions.

Post

Post a picture of the output from the applet you used that includes the hypothesis statements, null distribution graph, and probability calculation related to your claim.

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.