A recent study at a local college claimed that the proportion,  p , of students who commute more than fifteen miles to school is no more than  25% . If a random sample of  275  students at this college is selected, and it is found that  87  commute more than fifteen miles to school, can we reject the college's claim at the  0.01  level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.)   (a) State the null hypothesis  H0  and the alternative hypothesis  H1 . H0: H1: (b) Determine the type of test statistic to use.   ▼(Choose one)   (c) Find the value of the test statistic. (Round to three or more decimal places.)   (d) Find the p-value. (Round to three or more decimal places.)   (e) Can we reject the claim that the proportion of students who commute more than fifteen miles to school is no more than  25% ? Yes No

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A recent study at a local college claimed that the proportion, 
p
, of students who commute more than fifteen miles to school is no more than 
25%
. If a random sample of 
275
 students at this college is selected, and it is found that 
87
 commute more than fifteen miles to school, can we reject the college's claim at the 
0.01
 level of significance?

Perform a one-tailed test. Then complete the parts below.

Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.)

 

(a) State the null hypothesis 
H0
 and the alternative hypothesis 
H1
.
H0:
H1:
(b) Determine the type of test statistic to use.
  ▼(Choose one)
 
(c) Find the value of the test statistic. (Round to three or more decimal places.)
 
(d) Find the p-value. (Round to three or more decimal places.)
 
(e) Can we reject the claim that the proportion of students who commute more than fifteen miles to school is no more than 
25%
?
Yes No
 
 
 
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