Question

In: Statistics and Probability

There is no information at all about the possible proportion of cat lovers in a large...

There is no information at all about the possible proportion of cat lovers in a large population. There's also no time to run a trial poll. A researcher wants to build a 95% confidence interval for the population proportion with the margin of error 3%. The number of the valid answers that the researcher must obtain is

Solutions

Expert Solution

Solution :

Given that,

= 0.5

1 - = 1 - 0.5 = 0.5

margin of error = E = 3% = 0.03

At 95% confidence level the z is ,

= 1 - 95% = 1 - 0.95 = 0.05

/ 2 = 0.05 / 2 = 0.025

Z/2 = Z0.025 = 1.96 ( Using z table )

Sample size = n = (Z/2 / E)2 * * (1 - )

= (1.96 / 0.03)2 * 0.5* 0.5

= 1067.11

Sample size =1067

orchestra answered 3 years ago
Next > < Previous

Related Solutions

3. All philosophers are lovers of truth. No lovers of truth are closed-minded people. Thus no...
3. All philosophers are lovers of truth. No lovers of truth are closed-minded people. Thus no philosophers are closed-minded people. Invalid 8. Some politicians are idealistic persons. No idealistic persons are scientists. So some scientists are not politicians. 11. No A are B. All C are A. So, no Care B 12. All A are B. ALL A are C. So, some Care B. 21. All M are P. No S are M. So, no S are P.
You have the following information about opera lovers, their operas, and the attendance experiences: •       Susie attended...
You have the following information about opera lovers, their operas, and the attendance experiences: •       Susie attended Madame Butterfly and spent $25 on the ticket for the 1/11 performance, and then went to see La Traviata on 10/3 for $100.  She also went to see Carmen for $30 on 10/10. •       Lee attended Madame Butterfly and spent $25 on the ticket for the 10/21 performance. •       Jackson attended Carmen and spent $30 on the ticket for the 5/12 performance.  He also went to see La...
Suppose a veterinarian wants to compare the proportion of cat owners who are single to the...
Suppose a veterinarian wants to compare the proportion of cat owners who are single to the proportion of dog owners who are single. Of the pet owners that visit any of the veterinarian clinics in her city regularly, she randomly surveys 124 cat owners and 151 dog owners and asks each of them if they are single. Her findings are 80 of the cat owners are not single and 102 of the dog owners are not single. Is there any...
A group of music lovers in a large urban area incorporate a company, Mozart Holdings Ltd.,...
A group of music lovers in a large urban area incorporate a company, Mozart Holdings Ltd., in order to purchase land and build a music hall that they claim will be “a glittering jewel in the cultural crown” of the city. The corporation selects an architectural firm that will design the building, a construction company that will construct the music hall, and chooses other suppliers who will provide goods and services necessary to the planning and development of a unique...
A group of music lovers in a large urban area incorporate a company, Mozart Holdings Ltd.,...
A group of music lovers in a large urban area incorporate a company, Mozart Holdings Ltd., in order to purchase land and build a music hall that they claim will be “a glittering jewel in the cultural crown” of the city. The corporation selects an architectural firm that will design the building, a construction company that will construct the music hall, and chooses other suppliers who will provide goods and services necessary to the planning and development of a unique...
A group of music lovers in a large urban area incorporate a company, Mozart Holdings Ltd.,...
A group of music lovers in a large urban area incorporate a company, Mozart Holdings Ltd., in order to purchase land and build a music hall that they claim will be “a glittering jewel in the cultural crown” of the city. The corporation selects an architectural firm that will design the building, a construction company that will construct the music hall, and chooses other suppliers who will provide goods and services necessary to the planning and development of a unique...
The controller of a large retail chain is concerned about a possible slowdown in payments by...
The controller of a large retail chain is concerned about a possible slowdown in payments by customers. The controller randomly selects a sample of 10 accounts, with the following ages (in days): 40, 45, 50, 65, 70, 75, 78, 80, 82, 85 The sample standard deviation (s) is 15.53. The controller wants to determine if the population mean number of days that the company must wait to get paid exceeds 65, which is the historical average. If it does, the...
Suppose a veterinarian wants to estimate the difference between the proportion of cat owners who are...
Suppose a veterinarian wants to estimate the difference between the proportion of cat owners who are single and the proportion of dog owners who are single. Of the pet owners that visit any of the veterinarian clinics in her city regularly, she identifies 3872 pet owners that exclusively have cats and 4108 pet owners that exclusively have dogs. From this list of pet owners, she surveys 149 randomly selected cat owners and 126 randomly selected dog owners and asks each...
Information about the proportion of a sample that agrees with a certain statement is given below....
Information about the proportion of a sample that agrees with a certain statement is given below. Use StatKey or other technology to estimate the standard error from a bootstrap distribution generated from the sample. Then use the standard error to give a 95% confidence interval for the proportion of the population to agree with the statement. StatKey tip: Use "CI for Single Proportion" and then "Edit Data" to enter the sample information. In a random sample of 400 people, 112...
Question 11 1 point possible (graded) The commands in the pipeline $ cat result.txt | grep...
Question 11 1 point possible (graded) The commands in the pipeline $ cat result.txt | grep "Harvard edX" | tee file2.txt | wc -l perform which of the following actions? From result.txt, select lines containing “Harvard edX”, store them into file2.txt, and print all unique lines from result.txt. From result.txt, select lines containing “Harvard edX”, and store them into file2.txt. From result.txt, select lines containing “Harvard edX”, store them into file2.txt, and print the total number of lines which were...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT