Europe is projected to have a Lego shortage this Christams. Production has been ramped up in an effort to get some more Legos to Europe before the holidays. However you can't ship out defective products and we're not sure how running the machines faster will effect quality control. It is your job to determine if a shipment of 10 million Legos can be sent out. You can't send out a batch is more than 1% of the batch is bad. 16,589 is the minimum amount of legos that need to be sampled in order for the statistics to be trusthworthy. 1400 legos were sampled and 1.5% of them were bad. A) Perform a hypothesis test on this sample at the alpha=0.1 using the null hypothesis that the batch contains exactly 1% of defective legos. B) Interpret this hypothesis test in the context of the problem.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Europe is projected to have a Lego shortage this Christams. Production has been ramped up in an effort to get some more Legos to Europe before the holidays. However you can't ship out defective products and we're not sure how running the machines faster will effect quality control. It is your job to determine if a shipment of 10 million Legos can be sent out. You can't send out a batch is more than 1% of the batch is bad. 16,589 is the minimum amount of legos that need to be sampled in order for the statistics to be trusthworthy. 1400 legos were sampled and 1.5% of them were bad.
A) Perform a hypothesis test on this sample at the alpha=0.1 using the null hypothesis that the batch contains exactly 1% of defective legos.
B) Interpret this hypothesis test in the context of the problem.
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