Direction: Answer the following questions. Write your answer before the number. 1. What is the symbol for population mean? 2. A number that describes data from a sample. 3. A number that describes data from a population. 4. Random samples are used to avoid ? or error in sampling. 5. Of the NCR population, 36% has an allergy. A sample of 1200 selected adults resulted in 33.2% reporting an allergy. Identify the statistic and give its value.

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Direction: Answer the following questions. Write your answer before the number.  1. What is the symbol for population mean?  2. A number that describes data from a sample.  3. A number that describes data from a population.  4. Random samples are used to avoid ? or error in sampling.  5. Of the NCR population, 36% has an allergy. A sample of 1200 selected adults resulted in 33.2% reporting an allergy. Identify the statistic and give its value.

Ralph Lester · Accepted Answer

Step 1   1) The population mean is the average of the population under consideration.  It is denoted or represented by μ.   Hence, the symbol for population mean is μ.   Step 2   2) Inferential statistics enables to make an proper guess about a population parameter based on a statistic computed from a sample that is randomly drawn from the population.   Statistic is the characteristic that describes the data of the sample.    Hence, the number that describes data from the sample is statistic.   Step 3   3) Inferential statistics helps to make an proper guess about a population parameter based on a statistic computed from a sample that is randomly drawn from the population.   Parameter is the characteristic that describes the data of the population.    Hence, the number that describes data from the population is parameter.   Step 4  4) We know that the whole population can not be studied or surveyed.   Hence, we select a random sample and do the analysis on that sample, and generalize the results for the population.   We choose a sample that is random because we need to avoid the bias and error that may occur in sampling.   Hence, Random samples are used to avoid bias and error in sampling.   Step 5   5).We have, p0=population proportion=36%=0.36   p^=sample proportion=33.1%=0.332   n=sample size=1200   As we are given the population and sample proportion, hence we will use the z test for single proportion.  The formula and calculations for the test statistic is as follows:  z=p^−p0p0(1−p0)n  =0.332−0.360.36(1−0.36)1200  =−4.21  Hence, the statistic is z statistic for single proportion and the value =4.21 (rounded of to two decimal places)

Direction: Answer the following questions. Write your answer before th

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