Question

A teacher has a large container of blue, red, and green beads. She reports to the students that the proportion of blue beads in the container is 0. 30. The students feel the proportion of blue beads is lower than 0. 30. A student randomly selects 60 beads and finds that 12 of the beads are blue. The P-value for the test of the hypotheses, H0:p=0. 30 and Ha:p<0. 30, is 0. 45. What is the correct interpretation of this value?

There is a 4. 5% chance the proportion of blue beads in the container is 0. 3.

Assuming the true proportion of blue beads in the container is 0. 30, there is a 4. 5% probability that the null hypothesis is true.

Assuming the true proportion of blue beads in the container is 0. 30, there is a 4. 5% probability that the sample proportion would be 0. 20 or less by chance alone.

Assuming the true proportion of blue beads in the container is less than 0. 30, there is a 4. 5% probability that the sample proportion would be 0. 20 or less by chance alone

Answer 1

Answer: C

Explanation:

P - Value

Is the evidence against the null hypothesis.

The lower the p-value, the greater the chance of rejection of the null hypothesis.

The greater the p-value, the greater the chance to accept the null hypothesis.

So, in other words, the question asks the probability of having accepted a null hypothesis.

So using the above statement we can say that statement C is true.