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 55%. A random sample of 160 adult residents of...


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 55%. A<br>random sample of 160 adult residents of this city were questioned, and it was found that 71 of them had been victimized by a criminal. Based on these data,<br>can we reject the sociologist's claim at the 0.05 level of significance?<br>Perform a one-tailed test. Then complete the parts below.<br>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<br>formulas.)<br>(a) State the null hypothesis H, and the alternative hypothesis H,.<br>H. :0<br>H :0<br>(b) Determine the type of test statistic to use.<br>(Choose one) ▼<br>O=0<br>OSO<br>O20<br>(c) Find the value of the test statistic. (Round to three or more decimal places.)<br>O<O<br>?<br>(d) Find the critical value. (Round to three or more decimal places.)<br>(e) Can we reject the claim that the proportion of adult residents of the city who<br>have been victimized by a criminal is at least 55%?<br>OYes ONo<br>|x<br>

Extracted 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 55%. A random sample of 160 adult residents of this city were questioned, and it was found that 71 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,. H. :0 H :0 (b) Determine the type of test statistic to use. (Choose one) ▼ O=0 OSO O20 (c) Find the value of the test statistic. (Round to three or more decimal places.) O

Jun 06, 2022
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