The Thneedville governing cabal wants to distribute stimulus packets to needy Thneed households. A Thneed household is needy if they own fewer than 31 marbles. The most recent NTS (Needy Thneed Service) data indicates that 41% of all Thneed households are needy. On the other hand, that data is more than 2 years old, and Frederick Thneed Jr. suspects that the current percentage of needy Thneed households is lower than 41%, and they decide to perform a significance test to justify their belief. The hypotheses for this test are H0: Population % = 41%; HA: Population % #41%. Frederick surveys a simple random sample of n=100 households, and finds that 35 of them are needy. The z-score for this test is [Select] The p-value for this test is [Select]

he North American Free Trade Agreement (NAFTA) enacted in 1994 is a trilateral trade agreement signed by the United States, Canada and Mexico. This trade agreement has been controversial since its inception and Americans remain split on the issue. In a Gallup Poll conducted February 1-5, 2017, 420 out of 912 randomly selected Americans aged 18 or older stated that they believed that NAFTA was bad for the United States. Find the point estimate for the proportion of Americans who believe that NAFTA was bad for the United States. Round your answer to 4 decimal places. Find the margin of error for a 95% confidence interval. Round your answer to 4 decimal places. Construct the 95% confidence interval for the proportion of Americans who believe that NAFTA was bad for the United States. Enter your answer as an open interval of the form (a,b) and round to 3 decimal places. Can you conclude that more than half of Americans believe that NAFTA was bad for the United States? No conclusions can…

The human papillomavirus associated with the development of cervical cancer, genital warts, and some less common cancers. John Hopkins conducted a study to investigate the characteristics of female patients who came to their clinics between 2006 and 2008 to begin the three-shot regimen of vaccinations with the anti-human papillomavirus (HPV) medication Gardasil. A contingency table summarizing the vaccine completions by race is provided below. Do the data provide enough evidence to show that there is an association between race and vaccine completion? Test at the 5% level and round expected values to one decimal place. Vaccine Completed? No (Observed) No (Expected Value) Yes (Observed) Yes (Expected Value) Row Total African-American 331   14   345 Hispanic 104   451   555 Caucasian 31   280   311 Column Total 466   745   1211 H: HypothesesHo:Ho:Select an answer Ethnicity vaccine completion vaccines No  and Select an answer Vaccine Completed? vaccine completion vaccines…

A new weight-reducing technique, consisting of a liquid protein diet, is currently undergoing tests by the Food and Drug Administration (FDA) before its introduction into the market. The weights of a random sample of five people are recorded before they are introduced to the liquid protein diet. The five individuals are then instructed to follow the liquid protein diet for 3. weeks. At the end of this period, their weights (in pounds) are again recorded. The results are listed in the table. Person Weight Before Diet Weight After Diet 1 165 160 2 210 207 3 203 202 4 216 208 220 217 5 (1) Is there a significant difference between the means of the weights before and after the diet? Use a 0.05