Three-circle, red-on-white is one distinctive pattern painted on ceramic vessels of the Anasazi period found at the Wind Mountain archaeological site. At one excavation, a sample of 187 potsherds indicated that 76 were of the three-circle, red-on-white pattern. How many ceramic potsherds must be found and identified if we are to be 95% confident that the sample proportion p̂ of such potsherds is within 5.9% of the population proportion of three-circle, red-on-white patterns found at this excavation site? (Round your answer up to the nearest whole number.) potsherds

According to a recent census, 14.3% of all housing units in a certain country are vacant. A county supervisor wonders if her county is different from this. She randomly selects 893 housing units in her county and finds that 162 of the housing units are vacant. Complete parts a through d below. a) State the hypotheses. Let the proportion of housing units in the county that are vacant be denoted by p. Choose the correct answer below. OA. Ho: p<0.143 HA: P = 0.143 O C. Ho: p=0.143 HA: P<0.143 OB. Ho: p=0.143 HA: P = 0.143 O D. Ho: p20.143 HA: P<0.143 b) Name the model and check appropriate conditions for a hypothesis test. What kind of test is this? Choose the correct answer below. Two-proportion t-test Difference in proportions test Proportional t-test O One-proportion z-test Check the appropriate conditions for a hypothesis test. Select the correct choice below and fill in the answer boxes within your choice. (Round to one decimal place as needed.) successes and nqo = than 10. OA. The…

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question 4 only