In a survey of 1000 adult Americans, 45.5% indicated that they were somewhat interested or very interested in having web access in their cars. Suppose that the marketing manager of a car manufacturer claims that the 45.5% is based only on a sample and that 45.5% is close to half, so there is no reason to believe that the proportion of all adult Americans who want car web access is less than 0.50. Is the marketing manager correct in his claim? Provide statistical evidence to support your answer. For purposes of this exercise, assume that the sample can be considered as representative of adult Americans. Test the relevant hypotheses using = 0.05.
a. Find the test statistic and P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.)