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 255 students at this college is selected, and it is found that 80 commute more than fifteen miles to school, can we reject the college's claim at the 0.05 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 H and the alternative hypothesis H,. H, :0 H :0 (b) Determine the type of test statistic to use. (Choose one) ▼ O=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) O

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A) the null&alternative hypothesis B) determine the statistic test C) solve the test D) find the p-value E) yes or no?
O CONFIDENCE INTERVALS AND HYPOTHESIS TESTING
Hypothesis test for a population proportion
A recent study at a local college claimed that the proportion, p, of students who commute more than fifteen miles
sample of 255 students at this college is selected, and it is found that 80 commute more than fifteen miles to school, can we reject the college's claim at the
0.05 level of significance?
school is no more than 25%. If a random
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 H and the alternative hypothesis H,.
Ho :0
S
H :0
(b) Dete
nine the type of test statistic to use.
(Choose one) ▼
D=0
OSO
(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%?
Explanation
Check
Ix
II
Transcribed Image Text:O CONFIDENCE INTERVALS AND HYPOTHESIS TESTING Hypothesis test for a population proportion A recent study at a local college claimed that the proportion, p, of students who commute more than fifteen miles sample of 255 students at this college is selected, and it is found that 80 commute more than fifteen miles to school, can we reject the college's claim at the 0.05 level of significance? school is no more than 25%. If a random 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 H and the alternative hypothesis H,. Ho :0 S H :0 (b) Dete nine the type of test statistic to use. (Choose one) ▼ D=0 OSO (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%? Explanation Check Ix II
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