ZuoTi.Pro
Question

You read in a U.S Census Bureau report that a 90% confidence interval for the median...

You read in a U.S Census Bureau report that a 90% confidence interval for the median income in 2012 of American households was $51,017 (+ or -) $343. Based on this interval, can you reject the null hypothesis that the median income in this group is $50,000 using test statistics? What is the alternative hypothesis of the test? What is its significance level?

math   Statistics-And-Probability   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

The 90% confidence interval for the median income in 2012 of American households was $51,017 (+ or -) $343 = (50674, 51360)

The 90 % confidence interval does not include the value $50,000. Hence we reject the null hypothesis that the median income in this group is $50,000.

The alternative hypothesis is:

H1: The median income is not $50,000

The significance level is 0.10

0 0
Add a comment
Know the answer?
Add Answer to:
You read in a U.S Census Bureau report that a 90% confidence interval for the median...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions

  • The U.S. Census Bureau conducts a study to determine the time needed to complete the short...

    The U.S. Census Bureau conducts a study to determine the time needed to complete the short form. The Bureau surveys 200 people. The sample mean is 8.2 minutes, and the sample standard deviation is 2.2 minutes. To calculate a confidence interval for this data, would you use a value from the Z distribution or the t distribution? Write a sentence to explain your choice. (4 points) Calculate the 99% confidence interval for µ, the population mean time it takes to...

  • A U.S. census bureau pollster noted that in 349 random households surveyed, 220 occupants owned their...

    A U.S. census bureau pollster noted that in 349 random households surveyed, 220 occupants owned their own home. What is the 95% confidence interval estimate of the proportion of American households who own their own home? Question 9 options: 1) ( 0.31898 , 0.42027 ) 2) ( 0.60453 , 0.65621 ) 3) ( 0.57973 , 0.68102 ) 4) ( 0.58787 , 0.67287 ) 5) ( -0.57973 , 0.68102 )

  • 5. I took a random sample of people from the 2000 U.S. Census and recorded the...

    5. I took a random sample of people from the 2000 U.S. Census and recorded the incomes. The sample size was n = 30 (with replacement). The average of the sample was $23606 and the standard deviation of the sample was $24757. Answer these questions using the statistics that I found from my sample. a) Find a 95% confidence interval for the mean income of the population. b) What assumptions must you make? c) Your confidence interval is of the...

  • (COMPUTE AND INTERPRET CONFIDENCE INTERVAL ESTIMATES) . According to the U.S. Census Bureau, 43% of men...

    (COMPUTE AND INTERPRET CONFIDENCE INTERVAL ESTIMATES) . According to the U.S. Census Bureau, 43% of men who worked at home were college graduates. In a sample of 500 women who worked at home, 162 were college graduates. Construct a 98% confidence interval for the proportion of women who work at home who are college graduates. Find the critical values, find E , the margin of error, then compute a nd interpret your interval estimate with a full sentence. Critical value:...

  • According to the Census Bureau, 3.36 people reside in the typical American household. A sample of...

    According to the Census Bureau, 3.36 people reside in the typical American household. A sample of 27 households in Arizona retirement communities showed the mean number of residents per household was 2.70 residents. The standard deviation of this sample was 1.25 residents. At the .10 significance level, is it reasonable to conclude the mean number of residents in the retirement community household is less than 3.36 persons?    a. State the null hypothesis and the alternate hypothesis. (Round your answer...

  • The accuracy of a census report on a city in southern California was questioned by some...

    The accuracy of a census report on a city in southern California was questioned by some government officials. A random sample of 1215 people living in the city was used to check the report, and the results are shown below. Ethnic Origin Census Percent Sample Result Black 10%         130         Asian 3%         35         Anglo 38%         462         Latino/Latina 41%         516         Native American 6%         62         All others 2%         10         Using a 1% level of significance, test the claim that the census distribution and...

  • need help with these Question 7 (20 points) The U.S. Census Bureau conducts a study to...

    need help with these Question 7 (20 points) The U.S. Census Bureau conducts a study to determine the time needed to complete the short form. The Bureau surveys 200 people. The sample mean is 8.2 minutes. There is a known standard deviation of 2.2 minutes. The population distribution is assumed to be normal. (a) (5 points) Construct a 90% confidence interval for the population mean time to complete the forms. (b) (5 points) calculate the error bound. (c) (5 points)...

  • The accuracy of a census report on a city in southern California was questioned by some...

    The accuracy of a census report on a city in southern California was questioned by some government officials. A random sample of 1215 people living in the city was used to check the report, and the results are shown below. Ethnic Origin Census Percent Sample Result Black 10%         128         Asian 3%         45         Anglo 38%         478         Latino/Latina 41%         492         Native American 6%         60         All others 2%         12         Using a 1% level of significance, test the claim that the census distribution and...

  • 21 You are reading a report that contains a hypothesis test you are interested in. The...

    21 You are reading a report that contains a hypothesis test you are interested in. The writer of the report writes that the p-value for the test you are interested in is 0.091, but does not tell you the value of the test statistic. From this information you can: a You cannot decide based on this limited information. You need to know the value of the test statistic b Not reject the hypothesis at a Probability of Type I error...

  • n 2011, a U.S. Census report determined that 71% of college students work. A researcher thinks...

    n 2011, a U.S. Census report determined that 71% of college students work. A researcher thinks this percentage has changed since then. A survey of 110 college students reported that 91 of them work. Is there evidence to support the reasearcher's claim at the 1% significance level? A normal probability plot indicates that the population is normally distributed. a) Determine the null and alternative hypotheses. H0: p= Ha: p Select an answer not = ,< ,>   (Put in the correct symbol...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT