< 7 Homework
Question 25, 11.1.6
HW Score: \( 77.68 \%, 21.75 \) of 28 points
Points: 0 of 1
induct the hypothesis test and provide the test statistic and the critical value, and state the conclusion
erson randomly selected 100 checks and recorded the cents portions of those checks. The table below lists those cents portions categorized according to the indicated values. Use a 0.05 significance level to the claim that the four categories are equally likely. The person expected that many checks for whole dollar amounts would result in a disproportionately high frequency for the first category, but do the resulte port that expectation?
\begin{tabular}{l|cccc}
nts portion of check & 0.24 & \( 25-49 \) & \( 50-74 \) & \( 75-99 \) \\
\hline mber & 35 & 23 & 22 & 20
\end{tabular}
ck here to view the chi-square distribution table.
test statistic is
ound to three decimal places as needed)
Chi-square distribution table
\( -x \)
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\begin{tabular}{|c|c|c|c|c|c|c|c|}
\hline & & & \multicolumn{5}{|c|}{Area to the Right of the Critical Value} \\
\hline egrees of Freedom & 0.995 & 0.99 & 0.975 & 0.95 & 0.90 & 0.10 & 0 \\
\hline 1 & - & - & 0.001 & 0.004 & 0.016 & 2.706 & 3. \\
\hline 2 & 0.010 & 0.020 & 0.051 & 0.103 & 0.211 & 4.605 & 5. \\
\hline 3 & 0.072 & 0.115 & 0.216 & 0.352 & 0.584 & 6.251 & 7. \\
\hline 4 & 0.207 & 0.297 & 0.484 & 0.711 & 1.064 & 7.779 & 9. \\
\hline 5 & 0.412 & 0.554 & 0.831 & 1.145 & 1.610 & 9.236 & 11 \\
\hline 6 & 0.676 & 0.872 & 1.237 & 1.635 & 2.204 & 10.645 & 12 \\
\hline 7 & 0.989 & 1.239 & 1.690 & 2.167 & 2.833 & 12.017 & 14 \\
\hline 8 & 1.344 & 1.646 & 2.180 & 2.733 & 3.490 & 13.362 & 15 \\
\hline 9 & 1.735 & 2.088 & 2.700 & 3.325 & 4.168 & 14.684 & 16 \\
\hline 10 & 2.156 & 2.558 & 3.247 & 3.940 & 4.865 & 15.987 & 18 \\
\hline 4 & & & & & & & b \\
\hline
\end{tabular}
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