Im not sure how I would answer this questions. \'It has been estimated that 25 p
ID: 2955066 • Letter: I
Question
Im not sure how I would answer this questions. 'It has been estimated that 25 percent of all universitystudents switch majors within their first two years of startingclasses. If a random sample of 500 third year students is taken ata city university, what is an estimate of the probability that 20percent or less had switched majors within their first two years?' Can anyone help me please Im not sure how I would answer this questions. 'It has been estimated that 25 percent of all universitystudents switch majors within their first two years of startingclasses. If a random sample of 500 third year students is taken ata city university, what is an estimate of the probability that 20percent or less had switched majors within their first two years?' Can anyone help me please Can anyone help me pleaseExplanation / Answer
Step 1: Define terms.p = population proportion =0.25
ph = sample proportion (or p hat) = 0.20
n = sample size = 500
Step 2: Find the standard error.
SE(ph) =standard error of p hat = [ p * (1 – p) / n]
= (0.25 * 0.75 / 500) = 0.017888
Step 3: Find the z-value.
z = (ph –p0) / SE(ph)
= ( 0.20 – 0.2) / 0.017888 = -2.58
Step 4: Find the probability.
P(ph < 0.20)= P(Z < -2.58) =0.0049 Hope this helps, Mike Hope this helps, Mike