One urban affairs sociologist claims that the proportion, p, of adult residents of a particular city who have been victimized by a criminal is at least 50%. A random sample of 180 adult residents of this city were questioned, and it was found that 76 of them had been victimized by a criminal. Based on these data, can we reject the sociologist'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 . p Ho :0 H :0 (b) Determine 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.) O

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One urban affairs sociologist claims that the proportion, p, of adult residents of a particular city who have been victimized by a criminal is at least 50%. A
random sample of 180 adult residents of this city were questioned, and it was found that 76 of them had been victimized by a criminal. Based on these data,
can we reject the sociologist'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.
p
H :0
H :0
(b) Determine 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.)
O<O
(d) Find the critical value. (Round to three or more decimal places.)
(e) Can we reject the claim that the proportion of adult residents of the city who
have been victimized by a criminal is at least 50%?
O Yes ONo
to
Transcribed Image Text:One urban affairs sociologist claims that the proportion, p, of adult residents of a particular city who have been victimized by a criminal is at least 50%. A random sample of 180 adult residents of this city were questioned, and it was found that 76 of them had been victimized by a criminal. Based on these data, can we reject the sociologist'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. p H :0 H :0 (b) Determine 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.) O<O (d) Find the critical value. (Round to three or more decimal places.) (e) Can we reject the claim that the proportion of adult residents of the city who have been victimized by a criminal is at least 50%? O Yes ONo to
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