A retailer receives shipments of batteries in packages of 50. The retailer randomly samples 400 packages and tests to see if the batteries are defective. A sample of 400 packages revealed the observed frequencies # of Defective Frequency of shown to the right. The retailer would like to know if it can evaluate this sampling plan using a binomial distribution with n = 50 and p =0.02. Test at the a = 0.01 level of significance. Batteries per Package Occurrence 0 160 139 N 62 3 28 4 or more 11 State the appropriate null and alternative hypotheses. Choose the correct answer below. O A. Ho: The population mean number of defective batteries is equal to 0. HA: The population mean number of defective batteries is not equal 0. O B. Ho: The distribution of defective batteries is not binomial with n = 50 and p = 0.02. HA: The distribution of defective batteries is binomial with n = 50 and p = 0.02. O C. Ho: The population mean number of defective batteries is equal to 0. HA: The population mean number of defective batteries is greater than 0. O D. Ho: The distribution of defective batteries is binomial with n = 50 and p = 0.02. HA: The distribution of defective batteries is not binomial with n = 50 and p = 0.02. The test statistic is " = ]. (Round to three decimal places as needed.) The critical chi-square value is] [Round to four decimal places as needed.) Draw a conclusion. Choose the correct answer below. O A. Do not reject the null hypothesis, and conclude that the mean number of defective batteries is 0. O B. Reject the null hypothesis, and conclude that the retailer cannot evaluate this sampling plan using a binomial distribution with n = 50 and p = 0.02. O C. Reject the null hypothesis, and conclude that the mean number of defective batteries is greater than 0. O D. Do not reject the null hypothesis, and conclude that the retailer can evaluate this sampling plan using a binomial distribution with n = 50 and p = 0.02