A medical researcher claims that the proportion of patients receiving 200 mg of a newly developed influenza vaccine who go on to contract influenza strain X is less than the proportion of patients receiving 200 mg of last year s influenza vaccine who contract influenza strain X Of 320 patients who are given last year s vaccine 114 contract influenza strain X Of 350 patients who are given the new vaccine 112 of them contract influenza strain X Let PN be the proportion of patients receiving the newly developed vaccine and pL be the proportion of patients receiving last year s vaccine State the null and alternative hypotheses and the value of the test statistic Ho PN PL versus HA PN PL Test statistic Z 0 99