Question

6. How's life? Gallup regularly conducts a poll using a “Cantril scale," which asks respondents to imagine a ladder with 10 rungs. Rung 0 represents the worst possible life, and rung 10 represents the best possible life. Respondents are asked what rung they would say they are on. Responses are classified as "Thriving” (standing on rung 7 or higher, and expecting to be on rung 8 or higher five years from now), “Suffering” (standing on rung 4 or lower and expecting to be on rung 4 or lower five years from now), or “Struggling” (not thriving or suffering). In the first half of 2016, Gallup found that the index had reached a new high of 55.7% thriving with a sample size of 105,000. (www.gallup.com/ poll/194816/americans-life-evaluations-improve-during- obama-era.aspx) a) Explain the meaning of Ñ = 0.557 in the context of this situation. b) Calculate the standard error of P. c) Explain what this standard error means in the context of this situation.
My question is question number 16 and to solve it you need question 6 reference. Please solve it with TI-84 calculator or TI-84 plus calculator. No hand calculation please.

Answer 1

Given data * Gallup regularly conducts a poll lying a "contril scale" Imagine Cadder = lo grungs o represents worst possible life to represents best possible life In the first half 2016 Gallup reached a new high = 55.7% Sample size = 105,000 = - p?=0.557 poll reported Smoke - 170 30-18 =P a margin of error at 99% z margin of error is aqy confin dence the radius of the interval or 2.58 Standed error Iz value at aqr. = 2.581

margin of error az PXCP) 0.13x (1-0:13) 105000 = 2.58 1 o.lox 082 10 5000 10:14 2.588 / 105000 margin of error = 0.0031 of of The margin of error is the range values below and above the samples stastic în a confidance interval rgin of error of amrican adults who smoke with 99% confidence is 0.003)