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.

Run Applet

Navigate to the Rossman 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.

Your initial post should be made before the end of the fourth day of the module to receive full credit. Return at least once later in the module to comment on at least two classmate's posts. Do NOT “post and run” – making all of your posts in the same visit. You need multiple visits to the Discussions to gain multiple perspectives by reading all of the posts and replies. Late postings will be graded as per policy posted without any exceptions!

Answer 1

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

Can you use the theory-based applet on this problem?

Yes, the theory-based applet can be used for the stated problem

Explain why you either can or cannot use the theory-based applet.

As the applet to be provided with detailed information about the parameters to be used in the test, has the option of choosing the appropriate test and provides granular details in the output.

This applet will help in repeating the test for various parameters and will help better understanding of the problem

What p-value did you obtain?

p-value = 0.6540

Explain the results of your test in terms of your claim that less than 15% of the population of your city dislikes cilantro.

Considering 5% level of significance i.e., alpha (=0.05) and comparing the p-value(=0.6540), it is observed that p-value > alpha level of significance, hence we do not reject null hypothesis and infer that the percentage of the population of your city dislikes cilantro is 15%