Question

34. According to a nation wide survey, only 30% of adult Americans had a will. A researcher in Utah suspects that the proportion of adults in Utah with wills is less than the national proportion. Suppose this researcher takes a survey of 1000 adult Utah residents and finds that 277 report having wills. (round your answers to four decimal places) part a: Specify the null and alternative hypotheses to determine whether the proportion of adult Utah residents that have a will is less than the national proportion. part b: Calculate and report the value of the test statistic. part c: Calculate and report the p-value and then use the p-value approach to determine at a 10% level of significance if the proportion of adult Utah residents that have a will is less than the national proportion. part d: Determine and report the critical value(s) for a 10% level of significance and use the critical value approach to determine if the proportion of adult Utah residents that have a will is less than the national proportion. ST

Answer 1

34). p = 0.30 (30%) VS a to: (6) ta: p<0.30 claims) b n = looo A=272 = 277 -0.277 1000 The hest stat stic p-p 2= plit -0.277-0.30) 0.307070 -1.59 loco Yes the pre portion of The P-value=lo ossa P-value ad 2010 (los) Significanu unel Reject to a Conclusion adult utch resident that have a will is less than Nation proportion The sitical value zx=2-1.282 (z<22) (d) seject to oyes