The Mars twin rovers, spirit as well as Opportunity, which roamed the surface of Mars many years ago, found evidence that there was once water on Mars, raising the possibility that there was once life on planet. Do you think that the United States should pursue the program to send humans to Mars? An opinion poll conducted by Associated Press indicated that 49% of the 1034 adults surveyed think that we should pursue such a program.
a. Determine the true proportion of Americans who think that the United States should pursue a program to send humans to Mars. Compute the margin of error.
b. The question posed in part a was only one of many questions regarding our space program which were asked in the opinion poll. If the Associated Press wanted to report one sampling error which would be valid for the complete poll, what value should they report?