In a marketing survey, a random sample of 980 supermarket shoppers revealed that 270 always stock up on an item when they find that item at a real bargain price. (b)  Find a 95% confidence interval for p. (For each answer, enter a number. Round your answers to three decimal places.) lower limit       upper limit

Now you are interested in the percent of dogs that were neutered in your sample. For 40 dogs, 30 of them were neutered. What is the LOWER limit for this confidence interval? The statistical value you will need is 1.96. Give your answer as 0.XX

You are interested in constructing a 90% confidence interval for the proportion of all caterpillars that eventually become butterflies. Of the 378 randomly selected caterpillars observed, 45 lived to become butterflies. Round answers to 4 decimal places where possible. a.  With 90% confidence the proportion of all caterpillars that lived to become a butterfly is between      and   . b.  If many groups of 378 randomly selected caterpillars were observed, then a different confidence interval would be produced from each group. About         percent of these confidence intervals will contain the true population proportion of caterpillars that become butterflies and           about  percent will not contain the true population proportion.

During the 2009 holiday season, 436 randomly sampled American adults were surveyed regarding their average spending on Black Friday. A 95% confidence interval based on this sample is ($80.31,$89.11). (c) Determine the sample mean x and the sample standard deviation s of the sample. (d) Which would be the confidence level corresponding to an interval ($81.27,$88.15) for the data found in (c)? (e) If the values of the sample mean and sample standard deviation found in (c) do not change, find the sample size N for which a 99% confidence interval would have a margin of error smaller than 5.