Question

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). A survey of the students in Lance’s school found that 58% of the respondents want the school year lengthened, while 42% think it should remain the same. The margin of error of the survey is ±10%. According to the survey data, at least % of students want the duration of the school year to remain unchanged, and at least % want the school year to be lengthened.

Answer 1

32 %

Explanation:

becuase 42 mius 10 equal 32%

Answer 2

32 and 48%

Explanation:

Given that a survey of the students in Lance’s school found that 58% of the respondents want the school year lengthened, while 42% think it should remain the same.

p = proportion of students who thin timings should remain the same = 42%

Margin of error = + or - 10%

Confidence interval for p = (32, 52)%

Hence the minimum i.e. atleast 32% of students want the duration of the school year to remain unchanged.

q= proportion for lengthened 58%

Confinterval = (48, 68)%

Hence 48% atleast want the school year to be lengthened.