According to a sociologist's research on U.S. residents' habits regarding religious faith, 55% of U.S. residents attend a religious service (any denomination) at least once per month. Suppose 320 U.S. residents are sampled. (Give results accurate to at least 4 decimal places.) Of the 320 people sampled, 191 respond that they attend a religious service at least once per month.

What is the sample statistic p ?

p = 0.5968

(Correct0.5969 )

Under the assumption that the sociologist's claim that 55% of U.S. residents attend a religious service at least once per month is valid,

1)what is the probability that the survey in part (a) would result in a p that is at least as high as the one found? Under the assumption that the sociologist's claim that 55% of U.S. residents attend a religious service at least once per month is valid,

2)what is the probability that the survey in part (a) would result in a p that is between 53% and 56%?