The data in the accompanying table give the weights (in g) of randomly selected quarters that were minted after 1964. The quarters are supposed to have a median weight of 5.670 g. Use the sign test and a 0.025 significance level to test the claim that the median is less than 5.670 g. 5.624 5.661 5.693 5.675 5.708 5.634 5.662 5.639 5.656 5.647 5.673 5.652 5.643 5.654 5.686 5.704 5.647 5.681 5.623 5.652 5.619 5.652 5.661 5.64 5.673 5.68 5.681 5.642 5.672 5.643 5.671 5.66 5.648 5.641 5.629 5.637 5.651 5.646 5.63 5.663 5.672 5.647 5.63 5.694 5.675 5.659 5.685 5.651 5.622 Find the null and alternative hypothesis. Ho: Median weight 5.670 Median weight 5.670 Median weight> 5.670 Median weight 5.670 H: Median weight 5.670 Median weight> 5.670 Median weight 5.670 Median weight= 5.670 If we consider + to represent a coin that weighs more than 5.670 grams, then how many of each sign is there? Positive Signs: Negative Signs: Total Signs: What is the p-value? (Round to three decimal places.) What is the conclusion about the null? Select an answer What is the conclusion about the claim? Select an answer Listed below are the costs (in dollars) of flights between two cities for different airlines. Use a 0.01 significance level to test the claim that there is no difference in cost between flights scheduled one day in advance and those scheduled 30 days in advance. Flight scheduled one day in advance Flight scheduled 30 days in advance 769 544 283 545 542 611 802 391 926 392 826 431 520 462 996 605 905 615 569 419 566 558 Find the null and alternative hypothesis. Ho The median of the differences is zero. * H: The median of the differences is NOT zero. If we consider + to represent the sign for 1-day advance being larger than 30-day advance, then how many of each sign is there? Positive Signs: 9 Negative Signs: 2 Total Signs: 11 What is the p-value? (Round to three decimal places If we consider + to represent the sign for 1-day advance being larger than 30-day advance, then how many of each sign is there? Positive Signs: 9 Negative Signs: 2 Total Signs: 11 What is the p-value? (Round to three decimal places.) What is the conclusion about the null? Fail to reject the null hypothesis. What is the conclusion about the claim? Reject the claim that there is no difference in median cost. Adults randomly selected for a poll were asked if they "favor or oppose using federal tax dollars to fund medical research using stem cells obtained from human embryos." Of the subjects surveyed, 321 were in favor, 314 were opposed, and 103 were unsure. A politician claims that people don't really understand the stem cell issue and their responses to such questions are random responses equivalent to a coin flip. Use a 0.05 significance level to test the claim that the proportion of subjects who respond in favor is equal to 0.5. Find the null and alternative hypothesis. Ho: Op < 0.5 Op 0.5 Op > 0.5 Op = 0.5 H: p = 0.5 Op > 0.5 Op < 0.5 Op 0.5 If we consider + to represent those in favor, then how many of each sign is there? Positive Signs: Negative Signs: Total Signs: What is the p-value? (Round to three decimal places.) What is the conclusion about the null? Select an answer What is the conclusion about the claim? Select an answer An institute conducted a clinical trial of its methods for gender selection. The results showed that 292 of 546 babies born to parents using a specific gender-selection method were boys. Use the sign test and a 0.1 significance level to test the claim that the method increased the likelihood of having a boy. Find the null and alternative hypothesis. Ho: Op < 0.5 P > 0.5 p = 0.5 Op + 0.5 H: Op > 0.5 Op < 0.5 Op=0.5 Op 0.5 If we consider + to represent a boy, then how many of each sign is there? Positive Signs: 292 Negative Signs: 254 Total Signs: 546 What is the p-value? (Round to three decimal places.) What is the conclusion about the null? Select an answer What is the conclusion about the claim? Select an answer Before the overtime rule in a football league was changed, among 721 overtime games, 344 were won by the team that won the coin toss at the beginning of overtime. 70 games resulted in a tie. Using a 0.05 significance level, use the sign test to test the claim that the coin toss is fair in the sense that neither team has an advantage by winning it. Find the null and alternative hypothesis. Ho Op 0.5 Op > 0.5 Op < 0.5 Op = 0.5 H: Op 0.5 Op = 0.5 Op 0.5 If we consider + to represent a win by the team that won the coin toss, then how many of each sign is there? Positive Signs: Negative Signs: Total Signs: What is the p-value? (Round to three decimal places.) What is the conclusion about the null? Select an answer What is the conclusion about the claim? Select an answer