9 PRESIDENTNixonF. RooseveltMcKinleyTrumanTaylorEisenhowerHooverClevelandT. RooseveltG. W. BushJ. AdamsCoolidgeHardingVan BurenHarrisonJ. Q. AdamsG. H. W. BushGarfieldPolkJacksonHEIGHT182188170175173179182180178183170178183168173171188183173185HEIGHT OPP180182178173174178180180175185189180178180168191173187185171 Refer to the data set of 20 randomly selected presidents given below. Treat the data as a sample and find the proportion of presidents who were taller than their opponents. Use thatresult to construct a 95% confidence interval estimate of the population percentage. Based on the result, does it appear that greater height is an advantage forpresidential candidates? Why or why not?Click the icon to view the table of heights.(...)Construct a 95% confidence interval estimate of the percentage of presidents who were taller than their opponents.%

The question is about confidence interval.Given :Randomly selectedno. of presidents ( n ) = 20To find :Construct confidence interval and fill the given blanks.The formula is given byzcritical value :Given : Confidence level ( C ) = 0.95Then,Using excel command, So,Also,No. of presidents who were taller than their opponent ( x ) = 10 ....from given sample dataPlugging all these values in the above formulaeConverting into % asRounding values to 1 decimal places asHence, the 95% confidence interval can be represented asResult based on confidence interval :If greater height was an advantage, then taller candidates should have won more than 50% of the elections. In this case, greater height does not appear to be an advantage for presidential candidates because the confidence interval does include 50%.Confidence interval :Result based on confidence interval :If greater height was an advantage, then taller candidates should have won more than 50% of the elections. In this case, greater height does not appear to be an advantage for presidential candidates because the confidence interval does include 50%.