Sampling Distribution of Proportion (Part 3)

-0.25

A camp accrediting association has 2,400 camps in their association. They claim that 45% of their camps offer specialized programs for individuals with disabilities. Suppose you contact a simple random sample of 200 of the camps and ask them whether they offer specialized programs for individuals with disabilities. Assuming that the association's 20% from the random sample claim is correct, what is the sampling error?

0.06

A consulting agency reports that only 30% of a company's website users from 8000 users can successfully use a certain feature of the website. Skeptical of this claim, one of the website developers takes a simple random sample of 150. The developer finds that 36% of the sampled users use the feature successfully. Calculate the sampling error.

0.25

A local agricultural cooperative claims that 55% of about 60,000 adults in a county believe that gardening should be part of the school curriculum. However, when you take a simple random sample of 300 of the adults in the county, only 80% say that they believe that gardening should be part of the school curriculum. Calculate the sampling error.

0.1

According to a survey, 60% from 40,000 of the Scottish population has visited woodland in the previous year. Skeptical about this claim, you decide to take a simple random sample of 650 people in this population, and you ask them if they had visited woodland in the previous year. You find that 70% of the sample replied "yes" to your question. Calculate the sampling error.

-0.5

According to the 2011 National Survey of Fishing, Hunting, and Wildlife-Associated Recreation, there were over 10,000 wildlife watchers in the US. Of these wildlife watchers, the survey reports that 80% actively observed mammals. Suppose that one of the census workers repeated the survey with a simple random sample of only 500 wildlife watchers that same year. Assuming that the original survey's 30% from the random sample claim is correct, what is the sampling error?

-0.03

An article claimed that only 38% of hotel visitors used the alarm clock provided. A hotel manager wanted to see whether that proportion applied to the hotel where she worked, so she took a random sample of 700 of the approximately 10,000 visitors to the hotel one month and checked whether they used their room alarm clock. Of the sampled visitors, only 35% used the alarm clock. Calculate the sampling error.

-0.28

An article written for a magazine claims that 78% of the magazine's subscribers report eating healthily the previous day. Suppose we select a simple random sample of 675 of the magazine's approximately 50,000 subscribers to check the accuracy of this claim. Assuming the article's 50% from the random sample claim is correct, what is the sampling error?

0.11

Beatriz takes a simple random sample of 350 orders from the more than 5000 total orders to her store and finds that 18% from 250 of the sampled orders were returned. Calculate the sampling error.

-0.05

Suppose that 15% of the 1750 students at a school have experienced extreme levels of stress during the past month. A high school newspaper doesn't know this figure, but they are curious what it is, so they decide to ask a simple random sample of 160 students if they have experienced extreme levels of stress during the past month. Subsequently, they find that 10% of the sample replied "yes" to the question. Calculate the sampling error.

-0.15

The Department of Tourism reported that in May of 2017, approximately 65% of the tourists to the Philippines were from Asia. They also noted that it was the first time that the Philippines had more than 500,000 tourists in the month of May. Suppose another organization had taken a simple random sample of 600 of the tourists in that population. Assuming that the reported 50% from the random sample claim is accurate, what is the sampling error?

0.04

The United Kingdom Forestry Commission reports that 43% of the 4000 hectares of woodland area in the United Kingdom had certification identifying them as "sustainably managed" in 2016. Suppose an employee took a simple random sample of 400 of the hectares and saw that the records showed that 47% of the sampled hectares had that certification in 2016. Calculate the sampling error.

-0.65

The school board claims that 85% of the over 1,600 families with children in their district send their children to public school. Skeptical of this claim, a private school administrator takes a simple random sample of 120 families with children in the district and asks them whether they send their children to public school. Assuming 20% from the random sample of the school board's claim is correct, what is the sampling error?