Question 1:

Conduct the hypothesis test and provide the test statistic and the critical value, and state the conclusion. A person 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 test 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 results support that expectation? Cents portion of check 0-24 25-49 50-74 75-99 Number 33 23 19 25 Click here to view the chi-square distribution table. . . . . . The test statistic is. (Round to three decimal places as needed.) The critical value is. (Round to three decimal places as needed.) State the conclusion. Ho. There sufficient evidence to warrant rejection of the claim that the four categories are equally likely. The results to support the expectation that the frequency for the first category is disproportionately high.Listed below are the lead concentrations in ug/g measured in different traditional medicines. Use a 0.05 significance level to test the claim that the mean lead concentration for all such medicines is less than 15 ug/g. Assume that the sample is a simple random sample. 16.5 15.5 15.5 16.5 15 7.5 3 17.5 18.5 2.5 . . . . . Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses? O A. Ho: H = 15 ug/g O B. Ho: H > 15 ug/g H1: H 15 ug/g Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. Ho. There is evidence to conclude that the mean lead concentration for all such medicines is 15 pg/g.Chi-square distribution table Area to the Right of the Critical Value Degrees of Freedom 0.995 0.99 0.975 0.95 0.90 0.10 L 2 3 4 5 6 7 8 9 _|. D