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
245
adult residents of this city were questioned, and it was found that
119
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 onetailed test. Then fill in the table below.
Carry your intermediate computations to at least three decimal places and round your answers as specified in the table.

Below are the null and alternative Hypothesis,
Null Hypothesis, H0: p = 0.55
Alternative Hypothesis, Ha: p < 0.55
The type of test statistic is single proportion z test
Test statistic,
z = (pcap  p)/sqrt(p*(1p)/n)
z = (0.4857  0.55)/sqrt(0.55*(10.55)/245)
z = 2.023
Critical value of z is 1.645.
Hence reject H0 if z < 1.645
yes, we can reject the claim that the proportion of adult
residents of the city who have been victimized by a criminal is at
least
55%
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