A political pollster is conducting an analysis of sample results in order to make predictions on election night. Assuming a two-candidate election, if a specific candidate receives at least 55% of the vote in the samplethat candidate will be forecast as the winner of the election. You select a random sample of 100 voters. Complete parts (a) through (c) below.a.What is the probability that a candidate will be forecast as the winner when the population percentage of her vote is 50.1%?The probability is(Round to four decimal places as needed.)that a candidate will be forecast as the wihner when the population percentage of her vote is 50.1%.b.What is the probability that a candidate will be forecast as the winner when the population percentage of her vote is 60%?The probability is that a candidate will be forecast as the winner when the population percentage of her vote is 60%.(Round to four decimal places as needed.)C.What is the probability that a candidate will be forecast as the winner when the population percentage of her vote is 49% (and she will actually lose the election)?The probability is that a candidate will be forecast as the winner when the population percentage of her vote is 49%.(Round to four decimal places as needed.)d.Suppose that the sample size was increased to 400. Repeat process (a) through (c), using this new sample size. Comment on the difference.The probability is that a candidate will be forecast as the winner when the population percentage of her vote is 50.1%.View instructor tipHelp me solve thisGet more help -Next638 PMP Type here to search1O73°F3/31/2022hpprt scdeleteinsert1444440eschome&backspace6.2$4%236.3WRtabQJKpause A political pollster is conducting an analysis of sample results in order to make predictions on election night. Assuming a two-candidate election, if a specific candidate receives at least 55% of the vote in the sample,that candidate will be forecast as the winner of the election. You select a random sample of 100 voters. Complete parts (a) through (c) below.d.Suppose that the sample size was increased to 400. Repeat process (a) through (c), using this new sample size. Comment on the difference.The probability is that a candidate will be forecast as the winner when the population percentage of her vote is 50.1%.(Round to four decimal places as needed.)The probability is that a candidate will be forecast as the winner when the population percentage of her vote is 60%.(Round to four decimal places as needed.)The probability is that a candidate will be forecast as the winner when the population percentage of her vote is 49%.(Round to four decimal places as needed.)Choose the correct answer below.O A. Increasing the sample size by a factor of 4 increases the standard error by a factor of 2. Changing the standard error decreases the standardized Z-value to half of its original valueOB. Increasing the sample size by a factor of 4 decreases the standard error by a factor of 2. Changing the standard error decreases the standardized Z-value to haif of its original valueOC. Increasing the sample size by a factor of 4 decreases the standard error by a factor of 2. Changing the standard error doubles the magnitude of the standardized Z-value.View instructor tipHelp me solve thisGet more help -NextP Type here to search73°F638 PM1/31/202227hp4+prt scdeleta14440insert144escLL%24&#33backspacehome7.82.ERYan BdtabQenterKcaps lockpauseshiM.altctrl4,

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