Your mathematics instructor claims that, over the years, 88% of his students have said that math is their favorite subject. In this year's class, however, only 21 out of 32 students named math as their favorite class. The teacher decides to conduct a test of the hypothesis H0 : P = .88. What's the correct value of the standard deviation of σ for this test.
0.045
0.057
0.064
0.088
0.073
0.057
To find the correct value of the standard deviation (σ) for this test, we need to use the formula for the standard error.
The formula for the standard error, denoted as SE, is given by:
SE = √(p * (1 - p) / n)
Where:
p is the proportion of students who said math is their favorite subject (0.88)
1 - p is the proportion of students who did not say math is their favorite subject (0.12)
n is the sample size (32)
Now, let's plug in the values and calculate the standard error:
SE = √(0.88 * 0.12 / 32)
SE = √(0.1056 / 32)
SE ≈ √0.0033
SE ≈ 0.057
Therefore, the correct value of the standard deviation (σ) for this test is 0.057.