To be tested, why does a hypothesis must specify a single number about which the hypothesized sampling distribution can be constructed?

Suppose that a certain chromosone defect occurs in 12% of all sheep. A random sample of 200 sheep is to be obtained and analysed for the chromosone defect. What is the mean of the sampling distribution of the sample proportion?

The Salesforce company of a unicorn has various clients associated .The company wants to estimate the proportion of its clients who are associated with more than one company. A random sample of 600 clients is selected without replacement and 125 say that they are associated with more than one company .a. Construct a 99% confidence interval estimate of the population proportion of the clients who have been associated with more than one company

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 0.025 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 0.025 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= 0.24. Using this new information. what sample size should you gather in order to obtain a 0.025 margin of error? Round your answer up to the nearest whole number. n = households > Next Question Galaxy S22 Ultra (

Alicia would like to know if there is a difference in the average price between two brands of shoes. She selected and analyzed a random sample of 40 different types of Brand A shoes and 33 different types of Brand B shoes. Alicia observes that the boxplot of the sample of Brand A shoe prices shows two outliers. Alicia wants to construct a confidence interval to estimate the difference in population means. Is the sampling distribution of the difference in sample means approximately normal? A) Yes, because Alicia selected a random sample. B) Yes, because for each brand it is reasonable to assume that the population size is greater than ten times its sample size. C) Yes, because the size of each sample is at least 30. D) No, because the distribution of Brand A shoes has outliers. E) No, because the shape of the population distribution is unknown.

The business college computing center wants to determine the proportion of business students who have personal computers (PC's) at home, because if the proportion exceeds 25%, then the lab will scale back a proposed enlargement of its facilities. Suppose 300 business students were randomly sampled and 65 have PC's at home. Should they use a hypothesis test or a confidence interval to answer this question?   a) Hypothesis test. b) Confidence interval.