Question

You are conducting a study to determine if the probability of a true negative on a test for a certain cancer is significantly greater than 0.3. Your chosen significance level is alpha = 0.05. Is the probability of a true negative greater than 0.3?

Answer 1

To determine if the probability of a true negative on a cancer test is greater than 0.3, conduct a hypothesis test with a null hypothesis of 0.3 and an alternative hypothesis of > 0.3. If the p-value is less than alpha, reject the null hypothesis and conclude that the probability is greater than 0.3.

Step-by-step explanation:

In order to determine if the probability of a true negative on a test for a certain cancer is significantly greater than 0.3, we need to conduct a hypothesis test. Our null hypothesis, H0, is that the probability of a true negative is equal to 0.3. Our alternative hypothesis, Ha, is that the probability of a true negative is greater than 0.3.

We then calculate the p-value using the given data. If the p-value is less than the chosen significance level (alpha = 0.05), we reject the null hypothesis and conclude that the probability of a true negative is greater than 0.3.