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You work for a marketing firm that has a large client in the automobile industry. You have been asked to estimate the proportion of households in Chicago that have two or more vehicles. You have been assigned to gather a random sample that could be used to estimate this proportion to within a 0.04 margin of error at a 98% level of confidence.
a) With no prior research, what
n = ___ households
b) Your firm has decided that your plan is too expensive, and they wish to reduce the sample size required. You conduct a small preliminary sample, and you obtain a sample proportion of ˆp=0.235p^=0.235 . Using this new information. what sample size should you gather in order to obtain a 0.04 margin of error? Round your answer up to the nearest whole number.
n = ___ households
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- You work for a marketing firm that has a large client in the automobile industry. You have been asked to estimate the proportion of households in Chicago that have two or more vehicles. You have been assigned to gather a random sample that could be used to estimate this proportion to within a 0.03 margin of error at a 95% level of confidence. a) With no prior research, what sample size should you gather in order to obtain a 0.03 margin of error? Round your answer up to the nearest whole number. n = households b) Your firm has decided that your plan is too expensive, and they wish to reduce the sample size required. You conduct a small preliminary sample, and you obtain a sample proportion of p= 0.23. Using this new information. what sample size should you gather in order to obtain a 0.03 margin of error? Round your answer up to the nearest whole number. n = households Question Help: Video Message instructor Submit Questionarrow_forwardYou work for a marketing firm that has a large client in the automobile industry. You have been asked to estimate the proportion of households in Chicago that have two or more vehicles. You have been assigned to gather a random sample that could be used to estimate this proportion to within a 0.02 margin of error at a 90% level of confidence. a) With no prior research, what sample size should you gather in order to obtain a 0.02 margin of error? Round your answer up to the nearest whole number. n = households b) Your firm has decided that your plan is too expensive, and they wish to reduce the sample size required. You conduct a small preliminary sample, and you obtain a sample proportion of ˆp=0.22p^=0.22 . Using this new information. what sample size should you gather in order to obtain a 0.02 margin of error? Round your answer up to the nearest whole number. n = householdsarrow_forwardYou may need to use the appropriate appendix table or technology to answer this question. In the past, 19% of all homes with a stay-at-home parent, the father is the stay-at-home parent. An independent research firm has been charged with conducting a sample survey to obtain more current information. (a) What sample size is needed if the research firm's goal is to estimate the current proportion of homes with a stay-at-home parent in which the father is the stay-at-home parent with a margin of error of 0.03? Use a 95% confidence level. (Round your answer up to the nearest whole number.) (b) Repeat part (a) using a 99% confidence level. (Round your answer up to the nearest whole number.) Need Help? Read It option esc ! 1 T Q A Z 96 2 W S X 88 command Watch It O #3 E Master It a D C $ 4 R F ~ ♫ % 5 V T G m MA 6 MacBook Pro B Y H & 7 U N D W * 8 J P 1 T M ( K 1 & O **** ) O 1 H L cricut P V command T { x + 11 ? option } រ delearrow_forward
- 4. A survey of 499 women for the American Orthopedic Foot and Ankle Society revealed that 38% wear flats to work. a. Find 99% confidence interval for the population proportion of women who wear flats to work.arrow_forwardYou work for a marketing firm that has a large client in the automobile industry. You have been asked to estimate the proportion of households in Chicago that have two or more vehicles. You have been assigned to gather a random sample that could be used to estimate this proportion to within a 0.02 margin of error at a 95% level of confidence. a) With no prior research, what sample size should you gather in order to obtain a 0.02 margin of error? Round your answer up to the nearest whole number. n = ____ households b) Your firm has decided that your plan is too expensive, and they wish to reduce the sample size required. You conduct a small preliminary sample, and you obtain a sample proportion of ˆp=0.225p . Using this new information. what sample size should you gather in order to obtain a 0.02 margin of error? Round your answer up to the nearest whole number. n = ____ householdsarrow_forwardAccording to previous studies, 12% of the U.S. population is left-handed. Not knowing this, a high school student claims that the percentage of left-handed people in the U.S. is 14%. The student is going to take a random sample of 1650 people in the U.S. to try to gather evidence to support the claim. Let p be the proportion of left-handed people in the sample. Answer the following. (If necessary, consult a list of formulas.) ✔ (a) Find the mean of p. P. 0 (b) Find the standard deviation of p. (c) Compute an approximation for P (P<0.14), which is the probability that there will be 14% or fewer left-handed people in the sample. Round your answer to four decimal places. Xarrow_forward
- You work for a marketing firm that has a large client in the automobile industry. You have been asked to estimate the proportion of households in Chicago that have two or more vehicles. You have been assigned to gather a random sample that could be used to estimate this proportion to within a 0.04 margin of error at a 95% level of confidence. a) With no prior research, what sample size should you gather in order to obtain a 0.04 margin of error? Round your answer up to the nearest whole number. n = households b) Your firm has decided that your plan is too expensive, and they wish to reduce the sample size required. You conduct a small preliminary sample, and you obtain a sample proportion of p = 0.23 . Using this new information. what sample size should you gather in order to obtain a 0.04 margin of error? Round your answer up to the nearest whole number. householdsarrow_forwardYou work for a marketing firm that has a large client in the automobile industry. You have been asked to estimate the proportion of households in Chicago that have two or more vehicles. You have been assigned to gather a random sample that could be used to estimate this proportion to within a 0.04 margin of error at a 80% level of confidence. a) With no prior research, what sample size should you gather in order to obtain a 0.04 margin of error? Round your answer up to the nearest whole number. n = households b) Your firm has decided that your plan is too expensive, and they wish to reduce the sample size required. You conduct a small preliminary sample, and you obtain a sample proportion of p= 0.23. Using this new information. what sample size should you gather in order to obtain a 0.04 margin of error? Round your answer up to the nearest whole number. n = households > Next Question Esc FnLock Galaxy S22 Ultra F1 a 4 F2 4+ F3 #3 X F4 J $ 4 F5 G слоо % + F6 5 90 F7 A 6 X: y: 7 71 F8 63…arrow_forwardYou work for a marketing firm that has a large client in the automobile industry. You have been asked to estimate the proportion of households in Chicago that have two or more vehicles. You have been assigned to gather a random sample that could be used to estimate this proportion to within a 0.02 margin of error at a 80% level of confidence. a) With no prior research, what sample size should you gather in order to obtain a 0.02 margin of error? Round your answer up to the nearest whole number. n= households b) Your firm has decided that your plan is too expensive, and they wish to reduce the sample size required. You conduct a small preliminary sample, and you obtain a sample proportion of p = 0.2. Using this new information. what sample size should you gather in order to obtain a 0.02 margin of error? Round your answer up to the nearest whole number. n = householdsarrow_forward
- What is the Sample?arrow_forwardYou work for a marketing firm that has a large client in the automobile industry. You have been asked to estimate the proportion of households in Chicago that have two or more vehicles. You have been assigned to gather a random sample that could be used to estimate this proportion to within a 0.04 margin of error at a 90% level of confidence. a) With no prior research, what sample size should you gather in order to obtain a 0.04 margin of error? Round your answer up to the nearest whole number. n = _________ households b) Your firm has decided that your plan is too expensive, and they wish to reduce the sample size required. You conduct a small preliminary sample, and you obtain a sample proportion of p^=0.22 . Using this new information. what sample size should you gather in order to obtain a 0.04 margin of error? Round your answer up to the nearest whole number. n = _________ householdsarrow_forward
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