In a survey of 1000 women age 22 to 35 who work full time, 540 indicated that they would be willing to give up some personal in order to make more money. the sample was selected in a way that was designed to produce a sample that was representative of woman in the target age group. does the sample data provide convincing evidence that the majority of woman age 22 to 35 who work full-time would be willing to give up some personal time for more money? test the relevant hypotheses using .

(you must check the conditions for normality of the sampling distribution, state the hypotheses, test statistic and p-value.) next construct a 95% confidence interval based on this data.