When blood levels are low at an area hospital, a call goes out to local residents to give blood. The blood center is interested in confirming a claim that males are more likely to respond than females.
Say the true population proportion of men who respond is pM and the true population proportion of women who respond is pW. The null and alternative hypotheses for the test are H0 : pM - pW = 0, Ha : pM - pW > 0.
Random independent samples of 50 female residents and 80 male residents are taken. Using their response to a call to give blood, the test statistic for the test is calculated to be 1.8.
Use the test statistic given to calculate the appropriate P-value for this hypothesis test. Enter your answer, correct to 3 decimal places, into the box below.