The Travel Channel wants to conduct a survey of adults who take weekend vacations to Las...

The Travel Channel wants to conduct a survey of adults who take weekend vacations to Las Vegas. If the channel wants to be 97% confident that the sample percentage is in error by no more than 1.75 percentage points, how many adults must be surveyed?

Solutions

Expert Solution

Solution :

Given that,

= 0.5 ( assume 0.5)

1 - = 1 - 0. 5= 0.5

margin of error = E = 0.0175

At 97% confidence level the z is ,

= 1 - 97% = 1 - 0.97 = 0.03

/ 2 = 0.015

Z/2 = Z0.015 = 2.17 ( Using z table )

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

= ( 2.17/ 0.0175)2 * 0.5 * 0.5

= 3844

Sample size =3844

orchestra answered 1 year ago

Next > < Previous

Related Solutions

A travel agent wants to estimate the proportion of vacationers who plan to travel outside the...

A travel agent wants to estimate the proportion of vacationers who plan to travel outside the United States in the next 12 months. A random sample of 130 vacationers revealed that 40 had plans for foreign travel in that time frame. Construct a 95% confidence interval estimate of the population proportion. Make a statement about this in context of the problem

1-A travel agent wants to estimate the proportion of vacationers who plan to travel outside the...

1-A travel agent wants to estimate the proportion of vacationers who plan to travel outside the United States in the next 12 months. A random sample of 150 vacationers revealed that 45 had plans for foreign travel in that time frame. a)Suppose (at the 95% confidence level) you need to have a margin of error no more than 4 percentage points, but you have no estimate of ^p. How many vacationers would you have to sample?

A U.S. Travel Data Center’s survey of 1500 adults found that 46% of respondents stated that...

A U.S. Travel Data Center’s survey of 1500 adults found that 46% of respondents stated that they favor historical sites as vacations. Find the 99% confidence interval of the true proportion of all adults who favor visiting historical sites as vacations.

A U.S. Travel Data Center’s survey of 1500 adults found that 46% of respondents stated that...

A survey of 500 randomly selected adults found that 57% say that they would take a...

A survey of 500 randomly selected adults found that 57% say that they would take a ride in a fully self-driving car. The 95% confidence interval for the true proportion of all adults who would take a ride in a full self-driving car is found to be (0.5266, 0.6134). Can we conclude that the majority of all adults would take a ride in a fully self-driving car? Yes; Since the confidence interval limits are both greater than 50%, we can...

A medical survey in 1990 indicated that 43% of Australian adults prefer to take a name...

A medical survey in 1990 indicated that 43% of Australian adults prefer to take a name brand prescription drug than pay less for the generic equivalent. A pharmaceutical company believes that with the financial crisis, the percentage of Australian adults willing to take a cheaper generic drug may have risen. The research department conducted a study where a random sample of Australian adults were asked whether or not they would accept a cheaper generic prescription drug. 1) What type of...

((Health care Marekting )) Q. The American Academy of Pediatrics wants to conduct a survey of...

((Health care Marekting )) Q. The American Academy of Pediatrics wants to conduct a survey of recently graduated family practitioners to assess why they did not choose pediatrics for their specialization. suggest the appropriate sampling method in terms of the following: Probability vs. nonprobability Single unit vs. cluster unit Stratified vs. unstratified Equal unit vs. unequal unit Single stage vs. multistage

Gretchen wants to take the next six years off work to travel around the world. She...

Gretchen wants to take the next six years off work to travel around the world. She estimates her annual cash needs at $29,000 (if she needs more, she will work odd jobs). Gretchen believes she can invest her savings at 10% until she depletes her funds. Requirements: 1. How much money does Gretchen need now to fund her travels? 2. After speaking with a number of banks, Gretchen learns she will only be able to invest her funds at 6%....

A college wishes to know the proportion of American adults who are bilingual. The survey includes...

A college wishes to know the proportion of American adults who are bilingual. The survey includes asking 280 randomly selected American adults and finds that 123 are bilingual. Find the point estimate of the percentage of adults who speak two or more languages. Find a 99% confidence interval estimate of the percentage of Americans who are bilingual? Are the majority of Americans bilingual? Explain.

A survey is done to estimate the proportion of US Adults who think that texting while...

A survey is done to estimate the proportion of US Adults who think that texting while driving should be illegal. In a survey, 82% of a randomly selected sample of 1025 individuals said that this should be illegal. q1: A 95% confidence interval is construct to estimate the proportion, the STANDARD ERROR is 0.012. What is the margin of error?

Subjects