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 instructor decides to construct a confidence interval for the true population proportion based on the sample value. what's the correct value for the standard error of pˆ in this case?

 0.084

Step-by-step explanation:

Formula to find standard error of for finding confidence interval for p:

, where = sample proportion and n= sample size.

Let p be the population proportion of students named math as their favorite class.

As per given , we have

n= 32

Substitute these values in the formula, we get

∴ The correct value for the standard error of in this case = 0.084

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.  

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