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
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
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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What is the test statistic for the following problem? Thanks in advance
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.
# of Defective
Batteries per Package
0
State the appropriate null and alternative hypotheses. Choose the correct answer below.
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.
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.
1
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.
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.)
2
3
4 or more
Frequency of
Occurrence
164
134
65
29
8
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