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 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 x = 0.01 level of significance. # of Defective Batteries per Package 0 1 State the appropriate null and alternative hypotheses. Choose the correct answer below. O A. 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. 2 3 4 or more B. 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. OC. Ho: The population mean number of defective batteries is equal to 0. HA: The population mean number of defective batteries is not equal 0. D. Ho: The population mean number of defective batteries is equal to 0. HA: The population mean number of defective batteries is greater than 0. The test statistic is x² = (Round to three decimal places as needed.) Frequency of Occurrence 164 134 65 29 8

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