A medical equipment manufacturer believes that the proportion of faulty blood pressure monitors is greater than 0.11, the proportion stated by the supplier. We perform a hypothesis test at a significance level of 0.05 with the null and alternative hypothesis as follows: Ho: p = 0.11 and Ha: p < 0.11. A researcher inspects 150 items and finds 25 faulty ones. She gives a p-value of 0.01 in her analysis. Which of the following definitions is the correct interpretation of the p-value? O The probability of getting 25 or more faulty blood pressure monitors out of 150 if the true faulty rate is 0.11. The value that the z-statistic must be less than in order to reject the null hypothesis. The probability of rejecting a true null hypothesis. O The probability that the true rate of faulty items is 0.01.

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A medical equipment manufacturer believes that the proportion of faulty blood pressure monitors is
greater than 0.11, the proportion stated by the supplier. We perform a hypothesis test at a significance
level of 0.05 with the null and alternative hypothesis as follows: Ho: p = 0.11 and Ha: p < 0.11.
A researcher inspects 150 items and finds 25 faulty ones. She gives a p-value of 0.01 in her analysis. Which
of the following definitions is the correct interpretation of the p-value?
O The probability of getting 25 or more faulty blood pressure monitors out of 150 if the true faulty
rate is 0.11.
The value that the z-statistic must be less than in order to reject the null hypothesis.
The probability of rejecting a true null hypothesis.
O The probability that the true rate of faulty items is 0.01.
Transcribed Image Text:A medical equipment manufacturer believes that the proportion of faulty blood pressure monitors is greater than 0.11, the proportion stated by the supplier. We perform a hypothesis test at a significance level of 0.05 with the null and alternative hypothesis as follows: Ho: p = 0.11 and Ha: p < 0.11. A researcher inspects 150 items and finds 25 faulty ones. She gives a p-value of 0.01 in her analysis. Which of the following definitions is the correct interpretation of the p-value? O The probability of getting 25 or more faulty blood pressure monitors out of 150 if the true faulty rate is 0.11. The value that the z-statistic must be less than in order to reject the null hypothesis. The probability of rejecting a true null hypothesis. O The probability that the true rate of faulty items is 0.01.
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