Annie is concerned over a report that "a woman over age 4040 has a better chance of being killed by a terrorist than of getting married." A study found that the likelihood of marriage for a never-previously-wed, 4040-year-old university-educated American woman was 2.7%2.7%. To demonstrate that this percentage is too small, Annie uses her resources at the Baltimore Sun to conduct a simple random sample of 410410 never-previously-wed, university-educated, American women who were single at the beginning of their 4040s and who are now 4545. Of these women, 1919 report now being married. Does this evidence support Annie's claim, at the 0.050.05 level of significance, that the chances of getting married for this group is greater than 2.7%2.7%?

Step2of3:

Compute the value of the test statistic. Round your answer to two decimal places.