1 Nationally, patients who go to the emergency room wait an average of 5 hours to be admitted into the hospital Do patients at rural hospitals have a higher waiting time The 14 randomly selected patients who went to the emergency room at rural hospitals waited an average of 6 6 hours to be admitted into the hospital The standard deviation for these 14 patients was 1 8 hours What can be concluded at the the 0 01 level of significance level of significance For this study, we should use Select an answer t test for a population mean z test for a population proportion The null and alternative hypotheses would be H0 H0 p Select an answer H1 H1 p Select an answer The test statistic t z (please show your answer to 3 decimal places ) The p value (Please show your answer to 4 decimal places ) The p value is Based on this, we should Select an answer accept reject fail to reject the null hypothesis Thus, the final conclusion is that The data suggest the population mean is not significantly higher than 5 at 0 01, so there is statistically insignificant evidence to conclude that the population mean waiting time to be admitted into the hospital from the emergency room for patients at rural hospitals is equal to 5 hours The data suggest the populaton mean is significantly higher than 5 at 0 01, so there is statistically significant evidence to conclude that the population mean waiting time to be admitted into the hospital from the emergency room for patients at rural hospitals is higher than 5 hours The data suggest that the population mean awaiting time to be admitted into the hospital from the emergency room for patients at rural hospitals is not significantly higher than 5 hours at 0 01, so there is statistically insignificant evidence to conclude that the population mean waiting time to be admitted into the hospital from the emergency room for patients at rural hospitals is higher than 5 hours 2 The average number of cavities that thirty year old Americans have had in their lifetimes is 9 Do twenty year olds have fewer cavities The data show the results of a survey of 11 twenty year olds who were asked how many cavities they have had Assume that the distribution of the population is normal 5, 10, 9, 10, 7, 11, 7, 5, 10, 7, 9 What can be concluded at the 0 05 level of significance For this study, we should use Select an answer t test for a population mean z test for a population proportion The null and alternative hypotheses would be H0 H0 p Select an answer H1 H1 p Select an answer The test statistic t z (please show your answer to 3 decimal places ) The p value (Please show your answer to 4 decimal places ) The p value is Based on this, we should Select an answer reject accept fail to reject the null hypothesis Thus, the final conclusion is that Interpret the p value in the context of the study Interpret the level of significance in the context of the study If the population mean number of cavities for twenty year olds is less than 9 and if you survey another 11 twenty year olds, then there would be a 5 chance that we would end up falsely concuding that the population mean number of cavities for twenty year olds is equal to 9 If the population mean number of cavities for twenty year olds is 9 and if you survey another 11 twenty year olds, then there would be a 5 chance that we would end up falsely concuding that the population mean number of cavities for twenty year olds is less than 9 There is a 5 chance that the population mean number of cavities for twenty year olds is less than 9 There is a 5 chance that flossing will take care of the problem, so this study is not necessary There is a 11 15415709 chance of a Type I error If the population mean number of cavities for twenty year olds is 9 and if you survey another 11 twenty year olds, then there would be a 11 15415709 chance that the population mean number of cavities for twenty year olds would be less than 9 There is a 11 15415709 chance that the population mean number of cavities for twenty year olds is less than 9 If the population mean number of cavities for twenty year olds is 9 and if you survey another 11 twenty year olds, then there would be a 11 15415709 chance that the sample mean for these 11 twenty year olds would be less than 8 18 The data suggest the populaton mean is significantly less than 9 at 0 05, so there is sufficient evidence to conclude that the population mean number of cavities for twenty year olds is less than 9 The data suggest that the population mean number of cavities for twenty year olds is not significantly less than 9 at 0 05, so there is insufficient evidence to conclude that the population mean number of cavities for twenty year olds is less than 9 The data suggest the population mean is not significantly less than 9 at 0 05, so there is sufficient evidence to conclude that the population mean number of cavities for twenty year olds is equal to 9

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1. Nationally, patients who go to the emergency room wait an average of 5 hours to be admitted into the hospital. Do patients at rural

1. Nationally, patients who go to the emergency room wait an average of 5 hours to be admitted into the hospital. Do patients at rural hospitals have a higher waiting time? The 14 randomly selected patients who went to the emergency room at rural hospitals waited an average of 6.6 hours to be admitted into the hospital. The standard deviation for these 14 patients was 1.8 hours. What can be concluded at the the = 0.01 level of significance level of significance?

For this study, we should use Select an answer t-test for a population mean z-test for a population proportion
The null and alternative hypotheses would be:

H0:H0: ? p Select an answer < = >

H1:H1: ? p Select an answer = < >

The test statistic ? t z = (please show your answer to 3 decimal places.)
The p-value = (Please show your answer to 4 decimal places.)
The p-value is ? >
Based on this, we should Select an answer accept reject fail to reject the null hypothesis.
Thus, the final conclusion is that ...
- The data suggest the population mean is not significantly higher than 5 at = 0.01, so there is statistically insignificant evidence to conclude that the population mean waiting time to be admitted into the hospital from the emergency room for patients at rural hospitals is equal to 5 hours.
- The data suggest the populaton mean is significantly higher than 5 at = 0.01, so there is statistically significant evidence to conclude that the population mean waiting time to be admitted into the hospital from the emergency room for patients at rural hospitals is higher than 5 hours.
- The data suggest that the population mean awaiting time to be admitted into the hospital from the emergency room for patients at rural hospitals is not significantly higher than 5 hours at = 0.01, so there is statistically insignificant evidence to conclude that the population mean waiting time to be admitted into the hospital from the emergency room for patients at rural hospitals is higher than 5 hours.

2. The average number of cavities that thirty-year-old Americans have had in their lifetimes is 9. Do twenty-year-olds have fewer cavities? The data show the results of a survey of 11 twenty-year-olds who were asked how many cavities they have had. Assume that the distribution of the population is normal.

5, 10, 9, 10, 7, 11, 7, 5, 10, 7, 9

What can be concluded at the = 0.05 level of significance?

For this study, we should use Select an answer t-test for a population mean z-test for a population proportion
The null and alternative hypotheses would be:

H0:H0: ? p Select an answer = < >

H1:H1: ? p Select an answer = < >

The test statistic ? t z = (please show your answer to 3 decimal places.)
The p-value = (Please show your answer to 4 decimal places.)
The p-value is ? >
Based on this, we should Select an answer reject accept fail to reject the null hypothesis.
Thus, the final conclusion is that ...
Interpret the p-value in the context of the study.
Interpret the level of significance in the context of the study.

If the population mean number of cavities for twenty-year-olds is less than 9 and if you survey another 11 twenty-year-olds, then there would be a 5% chance that we would end up falsely concuding that the population mean number of cavities for twenty-year-olds is equal to 9.
If the population mean number of cavities for twenty-year-olds is 9 and if you survey another 11 twenty-year-olds, then there would be a 5% chance that we would end up falsely concuding that the population mean number of cavities for twenty-year-olds is less than 9.
There is a 5% chance that the population mean number of cavities for twenty-year-olds is less than 9.
There is a 5% chance that flossing will take care of the problem, so this study is not necessary.

There is a 11.15415709% chance of a Type I error.
If the population mean number of cavities for twenty-year-olds is 9 and if you survey another 11 twenty-year-olds, then there would be a 11.15415709% chance that the population mean number of cavities for twenty-year-olds would be less than 9.
There is a 11.15415709% chance that the population mean number of cavities for twenty-year-olds is less than 9.
If the population mean number of cavities for twenty-year-olds is 9 and if you survey another 11 twenty-year-olds, then there would be a 11.15415709% chance that the sample mean for these 11 twenty-year-olds would be less than 8.18.

The data suggest the populaton mean is significantly less than 9 at = 0.05, so there is sufficient evidence to conclude that the population mean number of cavities for twenty-year-olds is less than 9.
The data suggest that the population mean number of cavities for twenty-year-olds is not significantly less than 9 at = 0.05, so there is insufficient evidence to conclude that the population mean number of cavities for twenty-year-olds is less than 9.
The data suggest the population mean is not significantly less than 9 at = 0.05, so there is sufficient evidence to conclude that the population mean number of cavities for twenty-year-olds is equal to 9.