Question

ps possible In a survey of 2033 adults in a recent year, 715 made a New Year's resolution to eat healthier Construct 90% and 95% confidence intervals for the population proportion. Interpret the results and compare the widths of the confidence intervals The 90% confidence interval for the population proportion pis (Round to three decimal places as needed.) The 95% confidence interval for the population proportion pis (Round to three decimal places as needed.) With the given confidence, it can be said that the of adults who say they have made a New Year's resolution to eat healthier is of the given confidence interval Compare the widths of the confidence intervals. Choose the correct answer bokow. O A. The 90% confidence interval is wider. OB. The 95% confidence interval is wider. OC. The confidence intervals cannot be compared OD. The confidence intervals are the same width. o Click to select your answer(s). POSSWOT > TOP w O C

Answer 1

tinotnes iugnty ano o ur strmpo EEOL Jo honeny recent year, oooh mon o aprou sit resolution to eat healthier jie, na 2033 ; 2= 715 We have to Construct go% and 95% purp! Juod intervels for the pobulation .uollladold p=x 7IS 0.3517 u 2032 The confidence no Dretur X% level of significance H given by: ht Ni Î (1- nie where =de amble boobortion Nam - Critical value of zat a level of lignificanca samble fize.

Critica value of Z at gon ana 9 $). Confidence anteovels are 1-695 ana 1.989 Now, The 90% confidence interval for the as Hornaod brobortion is 0.3517 I 1.64 S x 013517 (1-0.3517) 2033 il 10.3343 0.3691 { [0.334, (0.36g The 95% confidence interval for the pobulation broportion p is 0.3517 + 1,959 D.3517 (-0.3517 2033

0.331 0.372 With the given confidence, it can be laid that t the [Proportion Of adults who ay they have made a New yearle resoution to eat healthier is lies within both Of the given confidence interver. The correct choice il B. die The gst confidence interved in Wider.