What are companies’ biggest obstacles to attract- ing the best talent? Of 703 surveyed U.S. and Canadian talent acquisition professionals, 464 reported that competition for talent is the biggest obstacle at their company. At the 0.05 level of significance, is there evidence that the propor- tion of all talent acquisition professionals who report competition is the biggest obstacle to attracting the best talent at their company is different from 60%?

The Institute of Education Sciences measures the high school dropout rate as the percentage of 16- through 24-year-olds who are not enrolled in school and have not earned a high school credential. Last year, the high school dropout rate was 8.1%. A polling company recently took a survey of 1,000 people between the ages of 16 and 24 and found that 6.5% of them are high school dropouts. The polling company would like to determine whether the dropout rate has decreased. At a 5% significance level, the p-value and α are __________.

A nationwide job recruiting firm wants to compare the annual incomes for childcare workers in Utah and Oregon. Due to recent trends in the childcare industry, the firm suspects that the mean annual income of childcare workers in Utah is less than the mean annual income of childcare workers in Oregon. To see if this is true, the firm selected a random sample of 20 childcare workers from Utah and an independent random sample of 20 childcare workers from Oregon and asked them to report their mean annual income. The data obtained were as follows. Annual income in dollars 27060 , 42320 , 36445 , 37895, 44564 , 35325 , 30313 , 28698, 33706 , 48365 , 26946 , 25063 , 28339 , 29265 , 40051 , 37026 , 40150 , 42753 , 27820, 39471 Utah 29769 , 48859 , 32480 , 36288,45102 , 46219 ,51098 , 45516 , 38834 , 44659 , 40755 , 38006 , 39947 , 29801 , 32200, 38731 , 41370 , 28059 , 33753 , 35271 Oregon Send data to calc... v Send data to Excel The population standard deviation for the annual incomes of…

Fourty percent of all Americans drink bottled water more than once a week (Natural resources Defense Council, December 4, 2015). Suppose you have been hired by the Natural Resources Defence Council to investigate bottled water consumption in St. Paul. You plan to select a sample of St. Paulites to estimate the proportion who drink bottled water more than once a week. Assume the popluation proportion of St. Paulites who drink bottled water more than once a week is 0.4 , the same as the overall proportion of Americans who drink bottled water more than once a week. c. Suppose you select a sample of  210 St.Paulites. Show the sampling distribution of p (to 4 decimals).   E(p)= Qp= d. Based upon a smaller sample of only 210 St. Paulites, what is the probability that the sample proportion will be within 0.7 of the population proportion (to 4 decimals). Probability = e. As measured by the increase in probability, how much do you gain in precision by taking the larger sample in parts (a) and…