A sample of size 25 is used in testing the null hypothesis that μ > 50.The sample results indicate that = 48 and s = 4. Test the null hypothesis using a significance level of .05. (Be sure to show the numeric results that lead to your decision.) What does the significance level tell us? That is, precisely what is it that has a probability of less than .05? Be specific. Suppose you are interested in studying regional differences in crime rates.You take a random sample of 100 cities in the South, and find a mean crime rate of 55 with a sample variance of 5.78. A sample of 100 cities in the North has a mean crime rate of 50 with a sample variance of 6.72. Construct a 95% confidence interval around the difference in crime rates between the population of Southern cities and the population of Northern cities. Interpret, in words, the meaning of this interval. Test the null hypothesis that the mean crime rate for the population of cities in the South is less than (or equal to) the mean crime rate for the population of cities in the North. Use a significance level of .01. In words, what can you say about the relationship between the two variables in this example? (That is, is the relationship statistically significant?). A sociologist is interested in the difference in voting rates between women and men.One hundred women and one hundred men are randomly sampled. Of these, seventy percent of the women and sixty-five percent of the men voted in the last election. Construct a 95% confidence interval around the difference in the proportion of women and men in the population who voted in the last election. Interpret this interval. Test the null hypothesis that, in the population, there is no difference in the proportion of women and men who voted in the last election. Use a significance level of .05. What can you conclude about the relationship between the two variables in this example? (That is, is the relationship statistically significant?).

A sample of size 25 is used in testing the null hypothesis that μ > 50.The sample results indicate that = 48 and s = 4. Test the null hypothesis using a significance level of .05. (Be sure to show the numeric results that lead to your decision.) What does the significance level tell us? That is, precisely what is it that has a probability of less than .05? Be specific. Suppose you are interested in studying regional differences in crime rates.You take a random sample of 100 cities in the South, and find a mean crime rate of 55 with a sample variance of 5.78. A sample of 100 cities in the North has a mean crime rate of 50 with a sample variance of 6.72. Construct a 95% confidence interval around the difference in crime rates between the population of Southern cities and the population of Northern cities. Interpret, in words, the meaning of this interval. Test the null hypothesis that the mean crime rate for the population of cities in the South is less than (or equal to) the mean crime rate for the population of cities in the North. Use a significance level of .01. In words, what can you say about the relationship between the two variables in this example? (That is, is the relationship statistically significant?). A sociologist is interested in the difference in voting rates between women and men.One hundred women and one hundred men are randomly sampled. Of these, seventy percent of the women and sixty-five percent of the men voted in the last election. Construct a 95% confidence interval around the difference in the proportion of women and men in the population who voted in the last election. Interpret this interval. Test the null hypothesis that, in the population, there is no difference in the proportion of women and men who voted in the last election. Use a significance level of .05. What can you conclude about the relationship between the two variables in this example? (That is, is the relationship statistically significant?).

Social Psychology (10th Edition)

10th Edition

ISBN:9780134641287

Author:Elliot Aronson, Timothy D. Wilson, Robin M. Akert, Samuel R. Sommers

Publisher:Elliot Aronson, Timothy D. Wilson, Robin M. Akert, Samuel R. Sommers

Chapter1: Introducing Social Psychology

Section: Chapter Questions

Problem 1RQ1

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Related questions

Question

A sample of size 25 is used in testing the null hypothesis that μ > 50.The sample results indicate that = 48 and s = 4. Test the null hypothesis using a significance level of .05. (Be sure to show the numeric results that lead to your decision.)

What does the significance level tell us? That is, precisely what is it that has a probability of less than .05? Be specific.

Suppose you are interested in studying regional differences in crime rates.You take a random sample of 100 cities in the South, and find a mean crime rate of 55 with a sample variance of 5.78. A sample of 100 cities in the North has a mean crime rate of 50 with a sample variance of 6.72.

Construct a 95% confidence interval around the difference in crime rates between the population of Southern cities and the population of Northern cities.

Interpret, in words, the meaning of this interval.

Test the null hypothesis that the mean crime rate for the population of cities in the South is less than (or equal to) the mean crime rate for the population of cities in the North. Use a significance level of .01.

In words, what can you say about the relationship between the two variables in this example? (That is, is the relationship statistically significant?).

A sociologist is interested in the difference in voting rates between women and men.One hundred women and one hundred men are randomly sampled. Of these, seventy percent of the women and sixty-five percent of the men voted in the last election.

Construct a 95% confidence interval around the difference in the proportion of women and men in the population who voted in the last election.

Interpret this interval.

Test the null hypothesis that, in the population, there is no difference in the proportion of women and men who voted in the last election. Use a significance level of .05.