Q16 A poll taken this year asked 1023 adults whether they were fans of a particular sport and 66% said they were. Last year, 65% of a similar-size sample had reported being fans of thesport. Complete parts a through e below.a) Find the margin of error for the poll taken this year if one wants 95% confidence in the estimate of the percentage of adults who are fans of the sport.ME= (Round to three decimal places as needed.)b) Explain what that margin of error means.O A. One is 95% ± ME confident that the true proportion of adults who are fans of the sport is equal to this sample proportion.OB. There is a 95% chance that the true proportion of adults who are fans of the sport is within ±ME of this sample proportion.O C. One is 95% confident that this sample proportion is within ± ME of the true proportion of adults who are fans of the sport.O D. In 95% of samples of adults, the proportion who are fans of the sport will be within ± ME of the sample proportion.c) If one wanted to be 85% confident instead of 95% confident, would the margin of error be larger or smaller?O A. To be less confident, the interval needs to contain the true proportion more often, so the margin of error would be smaller.OB. To be less confident, the interval needs to contain the true proportion less often, so the margin of error would be smaller.O C. To be less confident, the interval needs to contain the true proportion less often, so the margin of error would be larger.O D. To be less confident, the interval needs to contain the true proportion more often, so the margin of error would be larger.d) Find the margin of error for the poll taken this year if one wants 85% confidence in the estimate of the percent of adults who are fans of the sport.(Round to three decimal places as needed.)e) In general, if all other aspects of the situation remain the same, will smaller margins of error produce greater or less confidence in the interval?ME=OLess confidenceO Greater confidenceNext

As per the our company guideline expert have to answer first three subpart only.Given information: a) The margin of error at 95% confidence level is The margin of error is 0.029b) Interpretation of margin of error: %In 95% of the samples of adults the proportion who are fans of the sport will be within of the sample proportion of adults .Option D is correctc) To be less confident the interval need to contains the true proportion less often so the margin of error would be smaller. Option B is correct. As the confidence level decreases from 95% to 85% critical value decrease hence the corresponding margin of error decreases. a) The margin of error is 0.029b) Interpretation of margin of error: %In 95% of the samples of adults the proportion who are fans of the sport will be within of the sample proportion of adults .c) To be less confident the interval need to contains the true proportion less often so the margin of error would be smaller.