2. Good sleep or bad sleep? ~ A study was conducted to identify the factors affecting...

2. Good sleep or bad sleep? ~ A study was conducted to identify the factors affecting quality of sleep for university students. A survey of 290 students of different majors aged 17-29 years old revealed that 67.2% of these students suffered from poor sleep.

a. Create a 95% confidence interval for the = the population proportion of university students aged 17-29 years old who suffer from poor sleep.

Final answer: ( ______________________ , _____________________ )

b. Determine whether each of the following statements is a correct statement that could be included in the report summarizing these results.

With 95% confidence we estimate the population proportion of all college students aged 17-29 years old who suffer from poor sleep is contained in the interval computed in part (a).

Correct Incorrect

There is a 95% chance that the population proportion of all college students aged 17-29 years old who suffer from poor sleep is contained in the interval computed in part (a).

Correct Incorrect

If this survey were replicated many times, each replication providing a 95% confidence interval for population proportion of all college students aged 17-29 years old who suffer from poor sleep, then 95% of the resulting confidence intervals would be expected to capture the proportion of all college students aged 17-29 years old who suffer from poor sleep (p).

Solutions

Expert Solution

2(a) The 95% confidence interval for the population proportion is

Note : For 95% confidence , critical value of z is 1.96

(b) We 95% confidence we estimate the population proportion of all college students aged 17-29 is years old who suffer from poor sleep is contained in the interval computed in part(a) -CORRECT

There is 95% chance that the population proportion of all college students aged 17-29 is years old who suffer from poor sleep is contained in the interval computed in part(a) -CORRECT

If this survey were replicated many times , each replication providing a 95% confidence interval for the population proportion of all college students aged 17-29 is years old who suffer from poor sleep, then 95% of the resulting confidence intervals would be expected to capture the population proportion of all college students aged 17-29 is years old who suffer from poor sleep. - CORRECT

orchestra answered 1 year ago

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