Asked by Elizabeth Olayinka on Jun 12, 2024
Verified
The management of a water park has concerns about the chlorine level of 0.4% mg/mL increasing to an unsafe level.The management tests the hypothesis that the park's chlorine proportions have remained the same,and find a P-value of 0.005.Provide an appropriate conclusion
A) There is a 99.5% chance of no change in the chlorine proportion.
B) We can say there is a 0.5% chance of seeing a change in the chlorine proportions in the results we observed from natural sampling variation.We conclude the chlorine proportion is higher.
C) There is a 0.5% chance of no change in the chlorine proportion.
D) If the chlorine level is 0.4% mg/mL,then there is a 0.5% chance of seeing a sample chlorine level as high (or higher) than what we observed from natural sampling variation.There is no evidence of a higher chlorine proportion,but we cannot conclude the chlorine proportion is the same.
E) If the chlorine level is 0.4% mg/mL,then there is a 0.5% chance of seeing a sample chlorine level as high (or higher) than what we observed from natural sampling variation.There is very strong evidence the chlorine proportion is higher.
Chlorine Level
A measure of the amount of chlorine present in a substance, often used in water treatment to ensure the water is safe for consumption.
Water Park
A recreational facility that features water play areas, such as swimming pools, water slides, and splash pads.
P-value
The probability of observing a test statistic at least as extreme as the one observed, under the assumption that the null hypothesis is true.
- Acquire the knowledge of the importance and explanation of P-values in hypothesis testing.
- Assess the consequences of hypothesis testing outcomes, recognizing the distinction between statistical significance and its practical importance.
Verified Answer
Learning Objectives
- Acquire the knowledge of the importance and explanation of P-values in hypothesis testing.
- Assess the consequences of hypothesis testing outcomes, recognizing the distinction between statistical significance and its practical importance.
Related questions
A University Wants to Increase Its Retention Rate of 4 \(\mathrm ...
According to the 2004 Canadian Community Health Survey,23 \(\mathrm { H ...
According to the 2004 Canadian Community Health Survey,23 ...
The P-Value Is the Probability That the Null Hypothesis Is ...
The P-Value of a Test Is the Probability of Observing ...