A media research company conducted an online survey of adults in a certain country to determine their favorite sport. A friend believes professional football (with revenue of about $8 billion per year) is the favorite sport of more than 47% of adults in the country. Specify the null and alternative hypotheses for testing this belief. Be sure to identify the parameter of interest. Complete null and alternative hypotheses below. Ho: Ha: (Type integers or decimals. Do not round.)

A poll found that 80% of American adults believed that there was a conspiracy in the death of President Kennedy. A later poll asked 1097 American adults if they believe there was a conspiracy in the assassination, and found that 834 believe there was a conspiracy. Do the data show that the proportion of Americans who believe in this conspiracy has decreased? Test at the 1% level. State the hypotheses. Họ: P ?v H,: P ?v Calculate the test statistic. Round to four decimal places. p = Calculate the standardized test statistic. Round to three decimal places. Z = Find the p-value. Round to four decimal places. p-value = State your decision. O Since the p-value is greater than .01, fail to reject Ho. O Since the p-value is less than .01, fail to reject Ho. O Since the p-value is less than .01, reject Họ- O Since the p-value is greater than .01, reject Ho. Interpret the results. O At the 1% level of significance, there is not enough evidence to show that the proportion of American adults who…

Fill in the blanks. a. Positive correlations between observations of the response variable result in an underestimate of ________. b. Data collected from a designed experiment is generally preferable to data obtained from ________. c. Adata point whose removal has a substantial effect on one or more sample regression coefficients is called an _________.

David McCandless, Lee Byron, and their team scanned more than 10,000 Facebook status updates and set out to learn more about the timing of relationship breakups. They found that there was a peak in breakups on Valentine's Day and Mondays with a dip on Christmas Day. [Source: McCandless, D. (July 2010). The beauty of data visualization. TEDGlobal talks.] Suppose you are a researcher. You conduct a hypothesis test to determine whether the mean number of breakups on Fridays is different from the mean number of daily breakups. Assume that the mean number of daily breakups is 10.3 breakups (the population mean). You obtain a sample of 10,000 Facebook status updates, which yields a sample mean of M = 11.4 breakups. Let u denote the mean number of breakups on Fridays. Formulate your null and alternative hypotheses by selecting the appropriate values in the blue dropdown menus that follow. Ho: H₁: PPL 川 川 The test you conduct is test.