1.Determine whether the statement is true or false. If the statement is false, rewrite it as a true statement.(6 marks)

a.A 95% confidence interval for a population proportion with lower bound 0.45 and upper bound 0.51 means there is a 95% probability the population proportion is between 0.45 and 0.51.

b.The higher the degree of confidence, the larger the sample required to give a certain precision.

c.To determine the value of standard error of the mean, the total error is divided by the sample size.

d.If the size of a sample equals the size of the population, we would expect any error in estimating the population parameter.

e.We can expect some difference between sample statistics and the corresponding population parameters. This difference is called the sampling error.

f.We only analyze the case of equal variance assumed in the hypothesis testing for two populations mean using independent samplettest.