Lucy recently asked the servers at her restaurant to only give straws to customers who request them. She thinks that about half of the customers will ask for straws but hopes that the rate will be less than half. She randomly selects 100 customers and finds that 43 of them ask for a straw. To determine if these data provide convincing evidence that the proportion of customers who will ask for a straw is less than 50%, 150 trials of a simulation are conducted. Lucy is testing the hypotheses: H0: p = 50% and Ha: p < 50%, where p = the true proportion of customers who will ask for a straw. Based on the results of the simulation, the estimated P-value is 0.0733. Using a = 0.10, what conclusion should Lucy reach? Because the P-value of 0.0733 < a, Lucy should reject H0. There is convincing evidence that the proportion of customers who will ask for a straw is less than 50%. Because the P-value of 0.0733 < a, Lucy should reject Ha. There is not convincing evidence that the proportion of customers who will ask for a straw is less than 50%. Because the P-value of 0.0733 < a, Lucy should fail to reject Ha. There is convincing evidence that the proportion of customers who will ask for a straw is less than 50%. Because the P-value of 0.0733 < a, Lucy should fail to reject H0. There is not convincing evidence that the proportion of customers who will ask for a straw is less than 50%.

Martina is a stats keeper for the local youth soccer league. At the end of the season, she calculated the average number of passes completed in a game for a random group of 30 players to be 15.7 passes, their pass accuracy to be 58%, and that 12 of the players were left-footed. In contrast, the average number of passes completed in a game for all the players in the league was 23.5 passes, with a pass accuracy of 65%, while 125 players were left-footed. (a) For Martina's group, identify the population and the sample. Population: (Choose one) Sample: (Choose one) (b) Choose whether each number described below is a parameter or a statistic for Martina's group. Number Parameter Statistic The average of 23.5 passes completed in a game among all the players in the youth soccer league The 12 left-footed players among the random group of 30 players The 58% pass accuracy of the random group of 30 players

this is part 2 of a question. Although older Americans are most afraid of crime, it is young people who are more likely to be the actual victims of crime. It seems that older people are more cautious about the people with whom they associate. A national survey showed that 10% of all people ages 16-19 have been victims of crime.† At a high school, a random sample of n = 66 students (ages 16-19) showed that r = 11 had been victims of a crime. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value a small amount and thereby produce a slightly more "conservative" answer.   Find a 90% confidence interval for the proportion of students in this school (ages 16-19) who have been victims of a crime. (Round your answer to three decimal places.) lower limit       upper limit       (c) How large a sample size should be used to be 95% sure that the sample proportion p̂ is within…

Ride services are on the rise, such as Uber and Lyft. You wondered if the recent news reports of crime occurring with these ride services impacted the usage of them, especially with women. You decide to conduct  a survey about ride service usage among male and female college students. The results showed that 19 males use ride services and 11 do not. While 12 females use ride services and 18 do not. Calculate the degrees of freedom: