Answered: State the null hypothesis H0 and the…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 10CYU

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Related questions

Question

Among college students, the proportion

who say they’re interested in their congressional district’s election results has traditionally been

65%

. After a series of debates on campuses, a political scientist claims that the proportion of college students who say they’re interested in their district’s election results is more than

65%

. A poll is commissioned, and

194

out of a random sample of

270

college students say they’re interested in their district’s election results. Is there enough evidence to support the political scientist'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. (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 critical value. (Round to three or more decimal places.)

(e)	Is there enough evidence to support the political scientist's claim that the proportion of college students who say they’re interested in their district’s election results is more than 65% ?
Yes No