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Note (2): Round your answer to 3 decimal places.
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4
1 point
Imagine you work for an airline and want to determine the proportion of flights that are more than 10 minutes late. You take a simple random sample of 177 flights and find that 12 of the flights are more than 10 minutes late. Use a \( 92 \% \) confidence level to estimate the proportion of late flights.
Write the confidence interval as a compound inequality. (For example: \( 0.58<p<0.64 \) )
Confidence interval: \( \square \) type your answer... \( <p< \) type your answer...
Note: Round your answers to 3 decimal places.
5
1 point
Imagine you work for an airline and want to determine the proportion of flights that pre more than 10 minutes late. You take a simple random sample of 177 flights and find that 12 of the flights are more than 10 minutes late. US \( 92 \% \) confidence level to estimate the proportion of late flights.
How big should the sample size be if you want the margin of error to be \( 2 \% \) using the same confidence level? (Assume you do not know the sample proportion.)
Sample size: \( \square \) type your answer...
6
1 point
A data set includes data from student evaluations of courses. The summary statistics are \( n=96, \bar{x}=3.41, s=0.64 \). Use a 0.05 significance level to test the claim that the population of student course evaluations has a mean equal to 3.50. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. Identify the null and alternative hypotheses using the appropriate symbols (For example: \( H_{0}\left(H_{2} 0\right), H_{1}\left(H_{-} 1\right), \mu(\mathrm{mu}), \sigma( \) sigma), p, \( <,>, \neq \) (does not equal)).
Null Hypothesis:
type your answer...