Question

In: Statistics and Probability

A social scientist is interested in determining if there is a significant difference in the proportion...

A social scientist is interested in determining if there is a significant difference in the proportion of people who report working full time between two groups: those with a high school education or less (Group 1) and those with an associates’s degree or higher (Group 2). Using data from the General Social Survey, the researcher obtains the following table:

Education Working Full Time Other Employment Status Total

No College (Group 1) 500 764 1264

At Least Some College (Group 2) 412 298 710

What is the lower bound of the 95% confidence interval for the difference in the proportion of people working full time with a high-school education or less and those working full time with an associate's degree or higher, to three decimal places? Take all calculations toward the answer to four (4) decimal places.

Solutions

Expert Solution

by using the following table we got the Z value :


Related Solutions

A social scientist is interested in determining if there is a significant difference in the proportion...
A social scientist is interested in determining if there is a significant difference in the proportion of people who report working full time between two groups: those with a high school education or less (Group 1) and those with an associates’s degree or higher (Group 2). Using data from the General Social Survey, the researcher obtains the following table: Education Working Full Time Other Employment Status Total No College (Group 1) 500 764 1264 At Least Some College (Group 2)...
A stock market investor is interested in determining whether there is a significant difference in the...
A stock market investor is interested in determining whether there is a significant difference in the P/E (price to earnings) ratio for companies from one year to the next. Six companies are randomly selected and their P/E ratios for Year 1 and Year 2 are recorded. Are the P/E ratios for Year 1 greater than for Year 2? Use a 10% level of significance. Company c Year 1 16 29 36 23 12 19 Year 2 13 25 31 20...
A stock market investor is interested in determining whether there is a significant difference in the...
A stock market investor is interested in determining whether there is a significant difference in the P/E (price to earnings) ratio for companies from one year to the next. Six companies are randomly selected and their P/E ratios for Year 1 and Year 2 are recorded. Are the P/E ratios for Year 1 greater than for Year 2? Use a 10% level of significance. Company c Year 1 16 29 36 23 12 19 Year 2 13 25 31 20...
A businesswomen was interested in determining whether there is a significant difference in the average monthly...
A businesswomen was interested in determining whether there is a significant difference in the average monthly cost per child for childcare outside the home between state supported facilities and privately owned facilities. Two independent random samples were selected yielding the following information: State Supported Facilities Privately Owned facilities Sample Size 64 64 Sample Mean 725 675 Standard Deviation 95 80 Find a 90% confidence interval for the true difference in average monthly cost of the childcare.    Based on the...
A social worker was interested in determining whether there is a significance difference in the average...
A social worker was interested in determining whether there is a significance difference in the average monthly cost per child for childcare outside the home between state supported facilities and privately owned facilities. Two independent random samples yielded the following information: State Supported Facilities (population 1) Privately Owned Facilities (population 2) Sample Size 64 64 Sample Mean 705 675 Standard Deviation 95 80 Which Excel will calculate the test statistic? a. =(705-675)/(SQRT(95/64+80/64)) b. =(705-675)/(SQRT(95^2/8+80^2/8)) c. =(705-675)/(SQRT(95/8+80/8)) d. =(705-675)/(SQRT(95^2/64+80^2/64))
.You are interested in determining whether there is a statistically significant difference between economics and political...
.You are interested in determining whether there is a statistically significant difference between economics and political science majors in terms of their overall grade point average (GPA). You randomly sample 10 economics majors and 16 political science majors. You find that the average economist has a 3.0 GPA with a standard deviation of 0.4, and the average political scientist has a 3.4 GPA with a standard deviation of 0.3. Conduct a two-tailed hypothesis test using significance level α = 0.05....
A political scientist is interested in the question of whether or not there is a difference...
A political scientist is interested in the question of whether or not there is a difference between Republicans and Democrats when it comes to their involvement in voluntary associations. Using a 25-point scale to measure involvement in voluntary associations, and collecting information from a random sample of 17 Republicans and 12 Democrats, the political scientist discovers the following: Republicans: Mean of 12.56, standard deviation of 3.77 Democrats: Mean of 16.43, standard deviation of 4.21 Test the null hypothesis at the...
the leaders of the study are interested in the determining whether there is a difference in...
the leaders of the study are interested in the determining whether there is a difference in mean annual contributions for individuals covered by TSA's and those with 401(k) retirements program. you can use the results form the following table to test if the population mean of individual covered by TSAs is higher than those covered by 401(k). TSA    401(K) n1 = 8    n2=10 x1= 322.5 x2=298.3 s1=48.3 s2= 53.3 1. Formulate the appropriate null and alternative hypotheses 2....
1. The University of Florida is interested in determining if there is a difference in the...
1. The University of Florida is interested in determining if there is a difference in the proportion of male students that work versus female students, so they send out a survey with a question that asks, "Do you currently, or have you, worked a job while taking classes at UF?" Out of 874 males (group 2) that responded, 396 said yes, and out of the 902 females (group 1) that responded, 489 said yes. (Males - Females) Find the point...
A cereal company is interested in determining if there is a difference in the variation of...
A cereal company is interested in determining if there is a difference in the variation of the weights for 24-ounce and 48-ounce boxes of cereal.  A random sample of 18 (eighteen) 24-ounce boxes of cereal produced a sample variance (S12) of 0.0049 oz2.  A sample of thirty-one (31) 48-ounce boxes of cereal produced a sample variance (S22) of 0.006 oz2.  Use the sample information to construct a 95% confidence interval estimate for the true population ratio of. The point estimate for the ratio...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT