A coach is examining two basketball players’ free-throw percentages over the last few games. Bob made 34 out of 85 shots and Joe made 72 out of 125 shots. The coach wants to know if Bob is a 10% worse free-throw shooter than Joe. Which of the following would be the p-value of the corresponding test? Multiple Choice 0.1358 0.4544 0.4322 0.2715
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An analyst is conducting a test involving the following pair of hypotheses: H0: p = 0.50 vs. H1: p ≠ 0.50 Alpha is assumed to be 0.05. In a random sample of 200 observations, the sample proportion observed was 0.435. The p-value of the test statistic is _____________. Group of answer choices 0.0329 0.0658 0.9671 0.9342 Cannot be calculated with information given
Qudsiya A.
8. An elementary school administrator wanted to see if the students were being assigned more than the maximum of 60 minutes of homework each night. She conducted a significance test at the ̑̑̑ = 0.05 significance level of H₀: μ = 60 versus Hₐ: μ > 60, where μ = the true mean time spent on homework each night for all students. The administrator selected a random sample of 15 of students and calculated the standardized test statistic to be t = 2.137. Using Table B, which of the following is the range the P-value is between for the significance test the school administrator wants to perform? Assume that the conditions for carrying out the test are met. a. The P-value is between 0.01 and 0.02. c. The P-value is between 0.025 and 0.05. b. The P-value is between 0.02 and 0.025. d. The P-value is between 0.05 and 0.10. 9. A fast-food restaurant manager wants to know if more than 60% of her customers that request a water cup actually fill the cup with soda instead of water. The manager would like to carry out a test at the α = 0.10 significance level of H₀: p = 0.60 versus Hₐ: p > 0.60 where p = the true proportion of customers that fill a water cup with soda rather than water. During the next month, the manager collected data from a random sample of 90 customers that ask for a water cup by observing that 63 of the customers filled the water cup with soda. Which of the following is the standardized test statistic for this hypothesis test? a. 2.0702 b. -1.9365 c. -2.070 d. 1.9365 10. According to medical records, the chance that a pregnancy has multiple births (twins, triples, or higher) is 3.5%. The statistics teacher wondered if the rate of multiple births in his large city was different from the national proportion. The teacher would like to carry out a test at the α = 0.10 significance level of H₀: p = 0.035 versus Hₐ: p ≠ 0.035 where p = the true proportion of all pregnancies that are multiple births in this city. The teacher selected a random sample of 400 birth records from the local hospital and noted that 21 indicated multiple births. Which of the following is the P-value for this hypothesis test? a. 0.0284 b. 0.0569 c. 0.9431 d. 0.9716
Sheryl E.
Any basketball fan knows that Shaquille O’Neal, one of the NBA's most dominant centers of the last twenty years, always had difficulty shooting free throws. Over the course of his career, his overall made free-throw percentage was 53.3%. During one offseason, Shaq had been working with an assistant coach on his free-throw technique. During the next season, a simple random sample showed that Shaq made 26 of 39 free-throw attempts. Test the claim at the 0.05 significance level that Shaq has significantly improved his free-throw shooting. What is the P-value? Round to 4 decimal places.
Clarissa B.
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