7. According to the February 2008 Federal Trade Commission report on consumer fraud and identity theft, 24% of all complaints in 2007 were for identity theft. In that year, Alaska had 322 complaints of identity theft out of 1,435 consumer complaints. (a) Does this data provide enough evidence to show that Alaska had a lower proportion of identity theft than 24%? Test at the 5% level. i. Identify the null and alternative hypotheses. ii. Determine whether or not to reject the null reject the null hypothesis. (b) Calculate a 90% confidence interval for the proportion of identity theft in Alaska.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
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7. According to the February 2008 Federal Trade Commission report on consumer fraud and identity theft,
24% of all complaints in 2007 were for identity theft. In that year, Alaska had 322 complaints of identity
theft out of 1,435 consumer complaints.
(a) Does this data provide enough evidence to show that Alaska had a lower proportion of identity theft
than 24%? Test at the 5% level.
i. Identify the null and alternative hypotheses.
ii. Determine whether or not to reject the null reject the null hypothesis.
(b) Calculate a 90% confidence interval for the proportion of identity theft in Alaska.
Transcribed Image Text:7. According to the February 2008 Federal Trade Commission report on consumer fraud and identity theft, 24% of all complaints in 2007 were for identity theft. In that year, Alaska had 322 complaints of identity theft out of 1,435 consumer complaints. (a) Does this data provide enough evidence to show that Alaska had a lower proportion of identity theft than 24%? Test at the 5% level. i. Identify the null and alternative hypotheses. ii. Determine whether or not to reject the null reject the null hypothesis. (b) Calculate a 90% confidence interval for the proportion of identity theft in Alaska.
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