The table below summarizes data from a survey of a sample of women. Using a 0.01 significance level, test the claim that the proportions of women who agree/disagree is dependent on the gender of the interviewer. Gender of interviewer
men. woman
women who agree 549. 239
women who disagree 251 61
(a) State H0 and H1.
(b) Label the critical value(s) on the appropriate distribution.
(c) State the formula used for the test statistic and determine the value.
(d) Was H0 rejected? Interpret the result of the hypothesis test.
(e) Estimate or determine the P-value.

Finally, the arena decides to offer advertising space on the jerseys of the arena’s own amateur volley ball team. the arena wants the probability of being shortlisted to be 0.14. what is this as a percentage and a fraction? what is the probability of not being shortlisted? give your answer as a decimal. those shortlisted are entered into a final game of chance. there are six balls in a bag (2 blue balls, 2 green balls and 2 golden balls). to win, a company needs to take out two golden balls. the first ball is not replaced. what is the probability of any company winning advertising space on their volley ball team jerseys?