A newspaper conducted a statewide survey concerning a proposal to raise taxes in order to prevent budget cuts to education. The newspaper took a random sample (assume it is an SRS} of 600 registered voters and found that 186 would vote to raise taxes. Let ,0 represent the proportion of registered voters in the state that would vote to raise taxes. (Round your answers to 4 decimal places, if needed.) (a) The standard error for the sample proportion is (b) The margin of error for an 89% condence interval for p is Check A researcher would like to estimate the proportion of homebased businesses owned by women. 1l.r'ii'hat is the minimum sample size needed to be 99% condent with a 2.7% margin of error? {Round your answer to the appropriate integer.) Check A poll of 660 home sellers found that 26.4% were trying to sell their home without a real estate agent. The margin of error for this poll was 2.2%. Find the approximate confidence level used by the pollsters. Answer: See {Enter one of the following: 80, 90, 95, 98, 99) Check A 90% confidence intervals for the proportion of firstyear statistics students with brown hair is given to be (0.26, 0.42). (a) What is the sample proportion of students with brown hair? E (Round to 3 decimal places, if needed.) (b) What is the margin of error of this interval? E (Round to 3 decimal places, if needed.) (c) What is the critical value used for this interval? E (Round to 3 decimal places, if needed.) (d) What is the standard error of the estimate? E (Round to 3 decimal places, if needed.) ejlWhat was the sample size? S (Round to the appropriate integer.) A computer manufacturing company claims that only 7.5% of their computers are returned. Kelly thinks that the company is misrepresenting the true proportion of computers that are returned, and that the true proportion is higher than they claim. She wants to test this using a = 0.05. Kelly takes a sample of 270 computers and observes that 24 are returned. Assume a normal sampling distribution. (a) What are the null and alternative hypotheses? H0: p : : : 0.0?5 : HA: p 2: 0.075 (b) What is the test statistic? (Round your answer to 2 decimal places, if needed.) E (c) Using the statistical table, what is the pvalue? (Round your answer to 4 decimal places, if needed.) E (d) Based on the pvalue, Kelly should fail to reject : the null hypothesis. (e) This data does not provide : sufficient evidence to conclude that the true proportion of computers is higher than claimed. Check A company creates wooden furniture to be sold at various retailers. This company claims that only 215% of their furniture are defective in some manner. Monica would like to test this claim to see if the actual percentage of furniture that is defective is different than the company claims, using or = 0.1. She takes a sample of \"I470 pieces of furniture, and observes that 72 of these furniture pieces are defective. Assume a normal sampling distribution. (a) What are the null and alternative hypotheses? H02 p :