THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
The data shown below specify how much a sample of 20 executives paid in federal income taxes,as a percentage of gross income,are reproduced below.

Assume that the standard deviation for the underlying population is equal to 4.0.
-Closed caption movies allow the hearing impaired to enjoy the dialogue as well as the acting.A local organization for the hearing impaired people of the community takes a random sample of 100 movie listings offered by the cable television company in order to estimate the proportion of closed caption movies offered.They observed that 14 movies were closed caption.The cable television company says at least 5% of the movies shown are closed captioned.Prepare a 90% confidence interval for the true proportion P and comment on the cable television company's claim.

Question

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
The data shown below specify how much a sample of 20 executives paid in federal income taxes,as a percentage of gross income,are reproduced below.
  
Assume that the standard deviation for the underlying population is equal to 4.0.
-Closed caption movies allow the hearing impaired to enjoy the dialogue as well as the acting.A local organization for the hearing impaired people of the community takes a random sample of 100 movie listings offered by the cable television company in order to estimate the proportion of closed caption movies offered.They observed that 14 movies were closed caption.The cable television company says at least 5% of the movies shown are closed captioned.Prepare a 90% confidence interval for the true proportion P and comment on the cable television company's claim.

Quizplus · Accepted Answer

The Answer of THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
The data shown below specify how much a sample of 20 executives paid in federal income taxes,as a percentage of gross income,are reproduced below.
  
Assume that the standard deviation for the underlying population is equal to 4.0.
-Closed caption movies allow the hearing impaired to enjoy the dialogue as well as the acting.A local organization for the hearing impaired people of the community takes a random sample of 100 movie listings offered by the cable television company in order to estimate the proportion of closed caption movies offered.They observed that 14 movies were closed caption.The cable television company says at least 5% of the movies shown are closed captioned.Prepare a 90% confidence interval for the true proportion P and comment on the cable television company's claim.