A local news story claims that 53% of high school males agree with the statement "I am ok with a girl

playing on the football team because there is not a

football team for girls." To investigate this claim, an SRS

of 100 males from a large local high school is selected.

In the sample, 38 males agreed with the statement. We

used technology to simulate choosing 240 SRSs of size

n = 100 from a population of males where 53% agreed

with the statement. The dotplot shows p = the sample

proportion of males who agree with the statement for

each of the 240 samples.

Find the mean and standard deivation of the sampling

distribution.