What proportions of males and females wear a facemask while in a large parking lot? There is some evidence that the proportion of females wearing facemasks, pf , is different from the proportion of males wearing face masks, pm . We are going to examine this question by randomly selecting n=900 males and m=800 females walking in parking lots and observing how many of the selected people are wearing masks. Let XM equal the number of males in our sample who wear masks. Let XF equal the number of females in our sample who wear masks. Suppose XM = 494 and XF = 494. Let pmhat be the sample proportion of males in our sample who wear masks. Let pfhat be the sample proportion of females in our sample who wear masks. Let pm be the (unknown) true proportion of males who wear masks in large parking lots. Let pf be the (unknown) true proportion of females who wear masks in large parking lots. a)Calculate an unbiased point estimate of pm . b) We wish to construct a 90 % classical confidence interval for pm . What is the critical value multiplier zstar? c) Create a 90% classical confidence interval for pm ? ,
What proportions of males and females wear a facemask while in a large parking lot? There is some evidence that the proportion of females wearing facemasks,
, is different from the proportion of males wearing face masks,
. We are going to examine this question by randomly selecting n=900 males and m=800 females walking in parking lots and observing how many of the selected people are wearing masks. Let XM equal the number of males in our sample who wear masks. Let XF equal the number of females in our sample who wear masks. Suppose XM = 494 and XF = 494. Let pmhat be the sample proportion of males in our sample who wear masks. Let pfhat be the sample proportion of females in our sample who wear masks. Let
be the (unknown) true proportion of males who wear masks in large parking lots. Let
be the (unknown) true proportion of females who wear masks in large parking lots.
a)Calculate an unbiased point estimate of
.
b) We wish to construct a 90 % classical confidence interval for
. What is the critical value multiplier zstar?
c) Create a 90% classical confidence interval for
?
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