what is the critical chi-squared value

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 # of Defective Frequency of 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 a = 0.01 level of Batteries per Package Occurrence Significance. 0 166 128 66 29 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 greater than 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. C. 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. O D. Ho: The population mean number of defective batteries is equal to 0. HA: The population mean number of defective batteries is not equal 0. The test statistic is x2 = 9.696. (Round to three decimal places as needed.) The critical chi-square value is. (Round to four decimal places as needed.)