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Question 1 options:

According to the February 2008 Federal Trade Commission reporton consumer fraud and identity theft, 23% of all complaints in 2007were for identity theft. In that year, Alaska had 321 complaints ofidentity theft out of 1,432 consumer complaints (\"Consumer fraudand,\" 2008). Does this data provide enough evidence to show thatAlaska had a lower proportion of identity theft than 23%? Test atthe 5% level.

(i) Which of the following statements correctly definesthe null hypothesis H_O?

A.  μ = 321

B.  p < 0.23

C.  p = 0.23

D.  μ < 321

Enter letter corresponding to correct answer

(ii) Which of the following statements correctly definesthe alternative hypothesis H_A?

A.  μ = 321

B.  p < 0.23

C.  p = 0.23

D.  μ < 321

Enter letter corresponding to correct answer

(iii) Enter the level of significance α usedfor this test:

Enter in decimal form. Examples of correctly enteredanswers:  0.01    0.02   0.05    0.10

(iv)  Determine pˆ{\"version\":\"1.1\",\"math\":\"iv  Determine p^\"}

Enter in decimal form to nearest ten-thousandth. Examples ofcorrectly entered answers:

0.0001    0.0020    0.0500   0.3000    0.7115

(v) Do values for np and nq bothexceed 5? Enter YES or NO foranswer

(vi) Calculate and enter test statistic

Enter value in decimal form rounded to nearest thousandth,with appropriate sign (no spaces). Examples of correctly enteredanswers:

–2.014     –0.370       +0.600        +1.009

(vii) Using tables, calculator, or spreadsheet:Determine and enter p-value corresponding to teststatistic.

Enter value in decimal form rounded to nearest thousandth.Examples of correctly entered answers:

0.000     0.001    0.030     0.600     0.814 1.000

(viii) Comparing p-value and α value, which isthe correct decision to make for this hypothesis test?

A. Reject H_o

B. Fail to reject H_o

C. Accept H_o

D. Accept H_A

Enter letter corresponding to correct answer.

(ix) Select the statement that most correctly interpretsthe result of this test:

A. The result is statistically significant at .05 levelof significance. Evidence supports the claim that the proportion ofcomplaints due to identity theft in Alaska is less than23%.

B. The result is statistically significant at .05 levelof significance. There is not enough evidence to show that theproportion of complaints due to identity theft in Alaska is notless than 23%.

C. The result is not statistically significant at .05level of significance. There is not enough evidence to show thatthe proportion of complaints due to identity theft in Alaska isless than 23%.

D. The result is not statistically significant at .05level of significance. Evidence supports the claim that theproportion of complaints due to identity theft in Alaska is notless than 23%.

Enter letter corresponding to most correct answer