In March 2015, a Nielsen global online survey "found that consumers are increasingly willing to pay more for socially responsible products."1 Over 30,000 people in 60 countries were polled about their purchasing habits, and 66% of respondents said that they were willing to pay more for products and services from companies who are committed to positive social and environmental impact. We are interested in estimating the proportion of all consumers willing to pay more.

1"Sustainable Selections: How Socially Responsible Companies are Turning a Profit," www. nielsen. com, October 12, 2015.

(a) Give notation for the quantity we are estimating.

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(b) Give notation for the quantity we are using to make the estimate.

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(c) Give the value of the best estimate.

Round your answer to two decimal places.

Best estimate =

the absolute tolerance is +/-0.01

Acell phone company offers two plans to its subscribers. at the time new subscribers sign up, they are asked to provide some demographic information. the mean yearly income for a sample of 40 subscribers to plan a is $45,000 with a standard deviation of $9,200. for a sample of 25 subscribers to plan b, the mean income is $64,300 with a standard deviation of $7,100. at the 0.025 significance level, is it reasonable to conclude the mean income of those selecting plan b is larger? assume unequal population standard deviations. hint: for the calculations, assume the plan a as the first sample. what is the decision rule? (negative amount should be indicated by a minus sign. round your answer to 3 decimal places.) compute the value of the test statistic. (negative amount should be indicated by a minus sign. round your answer to 2 decimal places.) what is your decision regarding h0 ? reject h0 fail to reject h0 compute the p-value. less than 0.01 between 0.01 and 0.025 between 0.025 and 0.05 between 0.05 and 0.10 greater than 0.10