Asked by Elizabeth Olayinka on Jun 12, 2024

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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.
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RK
Rohit KumarJun 16, 2024
Final Answer :
E
Explanation :
A P-value of 0.005 (or 0.5%) indicates that there is a very low probability of observing the sample results if the null hypothesis (no change in chlorine proportions) were true. This suggests strong evidence against the null hypothesis, implying that the chlorine proportion has likely increased.