Question

In: Statistics and Probability

3.1 Phenylthiocarbamide (PTC) is a compound that has a strong bitter taste for some people and...

3.1 Phenylthiocarbamide (PTC) is a compound that has a strong bitter taste for some people and is tasteless for others. The ability to taste this compound is an inherited trait. A study found that 558 out of 790 Irish people could taste the compound, while 402 of 550 Italian people could taste it. Is there evidence that the proportion of Italian people who can taste PTC is significantly higher than the proportion of Irish people?

(show all working out, and no technology (ie. excel or spss))

a) Write appropriate hypotheses.

b) Test the hypotheses, find the P-value and state your conclusion in plain English . Use α = 0.01.

c) Create a 98% confidence interval for the difference in rates of the PTC tasters, and interpret your interval.

d) Comment on your interval in relation to your conclusion from b)

Solutions

Expert Solution

Let p1 shows the proportion of Italian people who can taste PTC and p2 shows the proportion of Irish people who can taste PTC.

(a-b)

Conclusion: There is no evidence that the proportion of Italian people who can taste PTC is significantly higher than the proportion of Irish people.

c)

d)

Since confidence interval contains zero so we fail to reject the null hypothesis.

orchestra answered 2 years ago
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