A confidence interval is constructed for an unknown population proportion, p. A sample is collected, and the 95% confidence inte

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A confidence interval is constructed for an unknown population proportion, p. A sample is collected, and the 95% confidence inte

rval is calculated to be 0.40 ± 0.06. Based on this information, it is most accurate to say that there is approximately 95% confidence in the assertion that:

Mathematics

1 answer:

Musya8 [376] · Answer 1 · 2022-03-23T06:26:26+03:00

Answer: The population proportion is between 0.34 and 0.46 .

Step-by-step explanation:

Interpretation of 95% confidence interval : A person can be about 95% confident that the true population parameter lies in the interval.

A confidence interval is constructed for an unknown population proportion, p. A sample is collected, and the 95% confidence interval is calculated to be 0.40 ± 0.06.

i.e. Lower limit = $0.40-0.06=0.34$

Upper limit = $0.40+0.06=0.46$

i.e. 95% confidence interval = (0.34, 0.46)

i.e. A person can be about 95% confident that the true population proportion (p) lies in the interval (0.34, 0.46).

⇒ It is most accurate to say that there is approximately 95% confidence in the assertion that:

The population proportion is between 0.34 and 0.46 .