A large-sample 98 percent confidence interval for the proportion of hotel reservations that are canceled on theintended arrival day is (0.048, 0.112). What is the point estimate for the proportion of hotel reservations that are canceled on the intended arrival day from which this interval was constructed?(A) 0.032 (B) 0.064 (C) 0.080 (D) 0.160 (E) It cannot be determined from the information given.

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Answer:

Option C is correct.

The point estimate for the proportion of hotel reservations that are canceled on the intended arrival day from which this interval was constructed = 0.08

Explanation:

Confidence Interval = (Sample Mean) ± (Margin of error)

Upper limit of the confidence interval = (Sample Mean) + (Margin of error)

Lower limit of the confidence interval = (Sample Mean) - (Margin of error)

Let Sample mean = x

Margin of error = y

(0.048, 0.112) = x ± y

x + y = 0.112

x - y = 0.048

Solving this simultaneous equation,

2x = 0.112 + 0.048 = 0.16

x = (0.16/2) = 0.08

y = 0.112 - 0.08 = 0.032

Sample mean = 0.08

Margin of Error = 0.032

So, the point estimate for the proportion of hotel reservations that are canceled on the intended arrival day from which this interval was constructed = 0.08

Hope this Helps!!!

  • Let Sample mean = x
  • Margin of error = y
  • (0.048, 0.112) = x ± y

The branch of science which deals with chemicals and bonds is called chemistry.

The correct answer is 0.08  

The formula we will use is as follows:-

[tex]Confidence \ Interval = (Sample \ Mean) + (Margin\ of\ error)[/tex]

The upper limit of the confidence interval = (Sample Mean) + (Margin of error)

The lower limit of the confidence interval = (Sample Mean) - (Margin of error)

All the data is given is as follows:-

  • Let Sample mean = x  
  • Margin of error = y  
  • (0.048, 0.112) = x ± y

[tex]x + y = 0.112x - y = 0.048[/tex]

After Solving this equation,

[tex]2x = 0.112 + 0.048 = 0.16 \\\\x = \frac{0.16}{2} = 0.08y = 0.112 - 0.08 = 0.032[/tex]

Hence, the Sample mean is 0.08  and Margin of Error is 0.032

So, the point estimate for the proportion of hotel reservations that are canceled on the intended arrival day from which this interval was constructed = 0.08

Hence, the correct answer is 0.08.

For more information, refer to the link:-

https://brainly.com/question/13899929