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An alcohol brewery firm claims that the proportion of alcohol in their new drink is at most 10 percent.A random sample of 100 bottles of the drink were selected and found to consist of 9 percent alcohol.
-What is the p-value for this test?
A)0.9965
B)0.1977
C)0.0485
D)0.6293

Question

Quizplus · Accepted Answer

To calculate the p-value, we need to use a one-tailed z-test. The null hypothesis is that the proportion of alcohol is equal to or less than 10 percent, and the alternative hypothesis is that it is greater than 10 percent.

The test statistic can be calculated as:

z = (0.09 - 0.10) / sqrt[(0.10 * (1 - 0.10))/100]

z = -1.67

Using a standard normal table or calculator, the p-value for this test is approximately 0.0475, which is close to 0.05.

Therefore, the best choice is D, as it is the closest to the calculated p-value.

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