Question

The authors of a paper studied a random sample of 350 Twitter users. For each Twitter...

The authors of a paper studied a random sample of 350 Twitter users. For each Twitter user in the sample, the "tweets" sent during a particular time period were analyzed and the Twitter user was classified into one of the following categories based on the type of messages they usually sent. Category Description IS Information sharing OC Opinions and complaints RT Random thoughts ME Me now (what I am doing now) O Other The accompanying table gives the observed counts for the five categories (approximate values read from a graph in the paper). Twitter Type IS OC RT ME O Observed count 49 62 65 102 72

Carry out a hypothesis test to determine if there is convincing evidence that the proportions of Twitter users falling into each of the five categories are not all the same. Use a significance level of 0.05. Let p1, p2, p3, p4, and p5 be the proportions of the five message types among the population of Twitter users. State the null and alternative hypotheses. H0: p1 = p2 = p3 = p4 = p5 = 70 Ha: H0 is not true. H0: p1 = p2 = p3 = p4 = p5 = 0.5 Ha: H0 is not true. H0: p1 = p2 = p3 = p4 = p5 = 0.05 Ha: H0 is not true. H0: p1 = p2 = p3 = p4 = p5 = 0.2 Ha: H0 is not true. H0: p1 = p2 = p3 = p4 = p5 = 350 Ha: H0 is not true.

Calculate the test statistic. (Round your answer to two decimal places.) χ2 =

What is the P-value for the test? (Round your answer to four decimal places.) P-value =

What can you conclude? Reject H0. There is convincing evidence to conclude that the proportions of Twitter users falling into the five categories are not all the same. Do not reject H0. There is not enough evidence to conclude that the proportions of Twitter users falling into the five categories are not all the same. Do not reject H0. There is convincing evidence to conclude that the proportions of Twitter users falling into the five categories are not all the same. Reject H0. There is not enough evidence to conclude that the proportions of Twitter users falling into the five categories are not all the same.

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
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
Similar Questions
The authors of a paper studied a random sample of 355 Twitter users. For each Twitter...
The authors of a paper studied a random sample of 355 Twitter users. For each Twitter user in the sample, the "tweets" sent during a particular time period were analyzed and the Twitter user was classified into one of the following categories based on the type of messages they usually sent. Category Description IS Information sharing OC Opinions and complaints RT Random thoughts ME Me now (what I am doing now) O Other The accompanying table gives the observed counts...
The authors of a paper studied a random sample of 353 Twitter users. For each Twitter...
The authors of a paper studied a random sample of 353 Twitter users. For each Twitter user in the sample, the tweets sent during a particular time period were analyzed and the Twitter user was classified into one of the following categories based on the type of messages they usually sent. Category Description IS Information sharing OC Opinions and complaints RT Random thoughts ME Me now (what I am doing now) O Other The accompanying table gives the observed counts...
The authors of a paper concerned about racial stereotypes in television counted the number of times...
The authors of a paper concerned about racial stereotypes in television counted the number of times that characters of different ethnicities appeared in commercials aired on a certain city's television stations, resulting in the data in the accompanying table. Ethnicity African- American Asian Caucasian Hispanic Observed Frequency 60 10 324 6 Based on the 2000 Census, the proportion of the U.S. population falling into each of these four ethnic groups are 0.177 for African-American, 0.032 for Asian, 0.734 for Caucasian,...
The authors of a paper concerned about racial stereotypes in television counted the number of times...
The authors of a paper concerned about racial stereotypes in television counted the number of times that characters of different ethnicities appeared in commercials aired on a certain city's television stations, resulting in the data in the accompanying table. Ethnicity African- American Asian Caucasian Hispanic Observed Frequency 59 11 332 6 Based on the 2000 Census, the proportion of the U.S. population falling into each of these four ethnic groups are 0.177 for African-American, 0.032 for Asian, 0.734 for Caucasian,...
The authors of a paper concerned about racial stereotypes in television counted the number of times...
The authors of a paper concerned about racial stereotypes in television counted the number of times that characters of different ethnicities appeared in commercials aired on a certain city's television stations, resulting in the data in the accompanying table. Ethnicity African- American Asian Caucasian Hispanic Observed Frequency 57 10 321 6 Based on the 2000 Census, the proportion of the U.S. population falling into each of these four ethnic groups are 0.177 for African-American, 0.032 for Asian, 0.734 for Caucasian,...
Birds use color to select and avoid certain types of food. The authors of a particular...
Birds use color to select and avoid certain types of food. The authors of a particular article studied the pecking behavior of 1-day-old bobwhites. In an area painted white, they inserted four pins with different colored heads. The color of the pin chosen on the bird's first peck was noted for each of 34 bobwhites, resulting in the accompanying table. Color First Peck Frequency Blue 15 Green 8 Yellow 7 Red 4 Do these data provide evidence of a color...
Birds use color to select and avoid certain types of food. The authors of a particular...
Birds use color to select and avoid certain types of food. The authors of a particular article studied the pecking behavior of 1-day-old bobwhites. In an area painted white, they inserted four pins with different colored heads. The color of the pin chosen on the bird's first peck was noted for each of 34 bobwhites, resulting in the accompanying table. Color First Peck Frequency Blue 15 Green 9 Yellow 7 Red 3 Do these data provide evidence of a color...
USA Today ("Hybrid Car Sales Rose 81% Last Year," April 25, 2005) reported the top five...
USA Today ("Hybrid Car Sales Rose 81% Last Year," April 25, 2005) reported the top five states for sales of hybrid cars in 2004 as California, Virginia, Washington, Florida, and Maryland. Suppose that each car in a sample of 2004 hybrid car sales is classified by state where the sale took place. Sales from states other than the top five were excluded from the sample, resulting in the accompanying table. State Observed Frequency California 255 Virginia 56 Washington 37 Florida...
The authors of a paper studied characters who were depicted smoking in movies released between a...
The authors of a paper studied characters who were depicted smoking in movies released between a certain range of years. The smoking characters were classified according to sex and whether the character type was positive, negative, or neutral. The resulting data are given in the table. Assume that this sample is representative of smoking movie characters. Do these data provide evidence of an association between sex and character type for movie characters who smoke? Use α = 0.05. Character Type...
USA Today ("Hybrid Car Sales Rose 81% Last Year," April 25, 2005) reported the top five...
USA Today ("Hybrid Car Sales Rose 81% Last Year," April 25, 2005) reported the top five states for sales of hybrid cars in 2004 as California, Virginia, Washington, Florida, and Maryland. Suppose that each car in a sample of 2004 hybrid car sales is classified by state where the sale took place. Sales from states other than the top five were excluded from the sample, resulting in the accompanying table. State Observed Frequency California 255 Virginia 56 Washington 37 Florida...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT