9.75 Zika virus According to a study, 358 travel-associated cases of Zika virus were reported in the United States between January 1, 2015 and April 13, 2016. During January 3–March 5, 2016, 4534 persons who traveled to or moved from areas with active Zika virus transmission were tested for infection. Among them, 1541 (34.0%) reported one or more symptoms of Zika virus infection (e.g., fever, rash, arthralgia, or conjunctivitis), 436 (9.6%) reported at least one other symptom only, and 2557 (56.4%) reported no signs or symptoms. (Source: http://www.cdc.gov/mmwr/

volumes/65/wr/mm6515e1.htm)

a. Set up notation, specify the population and the hypotheses to test whether the population proportion who would report no signs or symptoms is higher than 0.50.

b. Can you make a conclusion about whether the proportion for those who report no signs or symptoms is higher in the population? Explain all steps of your reasoning.