A survey found that 32%of consumers from a Country A are more likely to buy stock in a company based in Country A,or shop at its stores,if it is making an effort to publicly talk about how it is becoming more sustainable.Suppose you select a sample of 200 respondents from Country A.Complete parts(a)through(d)below. d.If a sample of 800 is taken,how does this change your answers to(a)through(c)? If a sample of 800 is taken,what is the probability that in the sample fewer than 32%are more likely to buy stock in a company based in Country A,or shop at its stores,if it is making an effort to publicly talk about how it is becoming more sustainable? The probability is %， (Round to two decimal places as needed

uppose that 20% of the residents in a certain state support an increase in the property tax. An opinion poll will randomly sample 400 state residents and will then compute the proportion in the sample that support a property tax increase.How likely is the resulting sample proportion to be within 0.04 of the true proportion (i.e., between 0.16 and 0.24)?(Hint: Use the sampling distribution of the sample proportion in this case.) It is certain that the resulting sample proportion will be within 0.04 of the true proportion. There is roughly a 99.7% chance that the resulting sample proportion will be within 0.04 of the true proportion. There is roughly a 95% chance that the resulting sample proportion will be within 0.04 of the true proportion. There is roughly a 68% chance that the resulting sample proportion will be within 0.04 of the true proportion.

A marketing survey is conducted in which students are to taste two different brands of soft drink.Their task is to correctly identify the brand tasted.A random sample of 200 students is taken.Assume that the students have no ability to distinguish between the two brands. b.The probability is 90%that the sample percentage is contained within what symmetrical limits of the population percentage?Identify the limits of the population percentage. The lower limit is The upper limit is (Round to four decimal places as needed.)

A department store has determined that 25% of all their sales are credit sales.  A random sample of 60 sales is selected.  The probability that the sample proportion will be less than 0.3 is                           .

A social scientist wishes to conduct a survey. She plans to ask a yes/no question to a random sample from the U.S. adult population. One proposal is to select 100 people; another proposal is to select 900 people.Which of the following is true regarding the sample proportion p̂ of "yes" responses? The sample proportion from the sample of 900 is more likely to be close to the true population proportion, p. The sample proportion from sample of 100 is more likely to be close to the true population proportion, p. The sample proportion in either proposal is equally likely to be close to the true population proportion, p, since the sampling is random.

An on-line retailing firm conducts a study into the number of on-line purchases of footwear made during all of last year.   The study wants to determine the proportion of Australians over the age of 25 who purchase footwear on-line. The managing director of the on-line retailing firm believes this proportion of Australians is 22%. A random sample of 179 Australians over the age of 25 is selected. If the managing director’s claim is true, what is the sample proportion value below which 10% of all sample proportions would exist? Express your answer correct to two decimal places.