The county health department has concerns about the chlorine

The county health department has concerns about the chlorine level at a local water park.

Suppose the proportion of the water readings on Monday is Pm and the proportion of the water

readings on Thursday is Pt. A study found a 90% confidence interval for Pm- Pt is (-0.05, 0.04). Give an interpretation of this confidence interval.

A) We are 90% confident that the chlorine level on Thursday is between 5% less and 4% more than the chlorine level on Monday.

B) If samples were repeatedly drawn from the same populations under the same

circumstances, the true population difference ( Pm- Pt ) would be between -0.05 and 0.04

90% of the time.

C) The probability that the chlorine level on Thursday is between 5% less and 4% more than

the chlorine level on Thursday is 90%.

D) We are 90% confident that the chlorine level on Monday is between 5% less and 4% more

than the chlorine level on Thursday.

E) The probability that the chlorine level on Monday is between 5% less and 4% more than the

chlorine level on Thursday is 90%.

Solution

The county health department has concerns about the chlorine level at a local water park. Suppose the proportion of the water readings on Monday is Pm and the p

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