Recall that margin of error is given by:
Given that <span>you want to be 95% confident that the sample percentage is within 2.5 percentage points of the true population percentage.
This means that
and M = 2.5% = 0.025.
Part A:
When nothing is known about the percentage of persengers who prefer aisle seat, we make use of p = 50% = 0.5.
Thus,
Therefore, 1,537 </span><span>randomly selected air passengers must be surveyed to </span><span>be 95% confident that the sample percentage is within 2.5 percentage points of the true population percentage.
Part B:
Given that recent surveys surgest that about 38% of all air passengers</span> prefer an aisle seat, thus p = 38% = 0.38
<span>Thus,
Therefore, 1,449 </span>randomly selected air passengers must be surveyed to <span>be 95% confident that the sample percentage is within 2.5 percentage points of the true population percentage.</span>
Given that <span>you want to be 95% confident that the sample percentage is within 2.5 percentage points of the true population percentage.
This means that
Part A:
When nothing is known about the percentage of persengers who prefer aisle seat, we make use of p = 50% = 0.5.
Thus,
Therefore, 1,537 </span><span>randomly selected air passengers must be surveyed to </span><span>be 95% confident that the sample percentage is within 2.5 percentage points of the true population percentage.
Part B:
Given that recent surveys surgest that about 38% of all air passengers</span> prefer an aisle seat, thus p = 38% = 0.38
<span>Thus,
Therefore, 1,449 </span>randomly selected air passengers must be surveyed to <span>be 95% confident that the sample percentage is within 2.5 percentage points of the true population percentage.</span>