Suppose that in the general population of pregnant women the mean blood calcium level is 10 mg/dL. A large, nationwide nonprofit clinic network that offers free prenatal care to uninsured pregnant women suspects that the subpopulation of women they serve have lower average blood calcium levels than the general population. To determine whether there is evidence to support their claim this clinic network measures the blood calcium of 51 randomly selected pregnant women from among their clients. They calculate a sample mean of mg/dL and a sample standard deviation of 0.4 mg/dL. Let it represent the unknown, true mean blood calcium level in mg/dL) for the subpopulation of women served by this clinic
Choose the correct symbols and enter the correct numbers to give the null and alternative hypotheses for this test of significance
The null hypothesis in this case is H
The alternative hypothesis in this case is
Which hypothesis test should be used in this case?
of significance
What is the value of the correct test statisticrounded to three decimal places)?
What is the corresponding p-value for this test statistic?
P=
Based on this p-value, that the subpopulation served by this clinic has, on average, significantly lower blood calcium levels than the general population? (assume we are using the a = 0.01 level of significance.)