An investigator analyzed the leading digits from 791 checks issued by seven suspect companies. The frequencies were found to be 1, 12, 0, 83, 408, 255, 6, 24, and 2, and those digits correspond to the leading digits of 1, 2, 3, 4, 5, 6, 7, 8, and 9, respectively. If the observed frequencies are substantially different from the frequencies expected with Benford's law shown below, the check amounts appear to result from fraud. Use a 0.10 significance level to test for goodness-of-fit with Benford's law. Does it appear that the checks are the result of fraud? Leading Digit Actual Frequency Benford's Law: Distribution of Leading Digits 9 83 17.6% 408 7.9% 255 6.7% 30.1% 12.5% 9.7% 5.8% 5.1% 4.6% Determine the null and alternative hypotheses. Họ: The leading digits are from a population that conforms to Benford's law. H: At least one leading digit has a frequency that does not conform to Benford's law. Calculate the test statistic, . x= (Round to three decimal places as needed.)

Q: Collect and summarize data into a test statistic. The sample mean difference = and the standard…

A: Determine the null and alternative hypotheses. H0: Null Hypothesis: μd =0 ( The students did not…

Q: Estimate the p-value for this test.

A: The test statistic is 2.600. The degrees of freedom is, df=r-1c-1=3-13-1=2×2=4 The degrees of…

Q: A researcher collects the following data from 5 college students regarding the number of times they…

A:

Q: Calculate the test statistic and p-value for each sample. Use Appendix C-2 to calculate the p-value.…

A: To calculate the test statistic and p-value for each sample: (a) H0:π≤0.55 versus H1:π>0.55…

Q: ​Claim: Fewer than 95​% of adults have a cell phone. In a reputable poll of 1073 ​adults, 90​%…

A: Formula for Test statistic  Test statistic ( z ) z = ( p^ - p ) / ( √( p * ( 1 - p) / n) )

Q: A hypothesis testing: Ho: p =0.71 HA: p <0.71. We conduct a survey with sample size n =856 and have…

A:

Q: A researcher wants to know if peoples standardized test performance is influenced by what they are…

A: This test is based on two sample means.

Q: Claim: Most adults would erase all of their personal information online if they couldA software firm…

A: The objective of this question is to calculate the test statistic for the given claim. The test…

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.