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 a= 0.01 level of significance. UA. Ho: The distribution of defective batteries is not binomial with n= 50 and p = U.UZ. HA: The distribution of defective batteries is binomial with n = 50 and p = 0.02. 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. O 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 = 5.954. (Round to three decimal places as needed.). The critical chi-square value is (Round to four decimal places as needed.) # of Defective Batteries per Package 0 1 2 4 or more Frequency of Occurrence 164 134 65 29 8

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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.
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.
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.
O C. 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 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 = 5.954
(Round to three decimal places as needed.)
The critical chi-square value is
(Round to four decimal places as needed.)
----
# of Defective
Batteries per Package
0
1
2
3
4 or more
Frequency of
Occurrence
164
134
65
29
8
Transcribed Image Text: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. 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. 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. O C. 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 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 = 5.954 (Round to three decimal places as needed.) The critical chi-square value is (Round to four decimal places as needed.) ---- # of Defective Batteries per Package 0 1 2 3 4 or more Frequency of Occurrence 164 134 65 29 8
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