According to a report on consumer fraud and identity theft, 20% of all complaints for a year were for identity theft. In that year, Michigan had 267 complaints of identity theft out of 1442 consumer...

According to a report on consumer fraud and identity theft, 20% of all complaints for a year were for identity theft. In that year, Michigan had 267 complaints of identity theft out of 1442 consumer complaints. Does this mean that Michigan had a lower proportion of identity theft than 20%? Test at the 1% significance level.

State the hypotheses.

H
₀:
≥ ___


H_A
: <>


Calculate the sample proportion. Round to four decimal places.

p̂= ____


Calculate the test statistic. Round to two decimal places.

z
= ____


Find the p-value. Give to four decimal places.
p-value = _____