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Correct
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Question 1 of 3

Plastic screens for a production of a specific lamp is planned to be outsourced to a subcontractor. It is essential for the lampâ€™s density, that the plastic screens have the correct dimensions. Two subcontractors are contacted.

From subcontractor A, 500 items are received: out of these, there are 4 that do not comply with the requirements for the dimensions.

From subcontractor B, 700 items are received: out of these, there are 8 that do not comply with the requirements for the dimensions.

The following hypothesis test is to be carried out:

$\begin{array}{l} {H_0}:p_A=p_B \\ {H_1}:p_A\not= p_B \end{array}$

The P-value and the conclusion for this test is:

Question 2 of 3

A company that sells outdoor lighting has a lamp made in 3 material variations: in copper, with a painted surface and stainless steel. The lamps are sold in Denmark and exported mainly to the Netherlands and Norway. For 250 Lamps the relative distribution of sales between the 3 variants and 3 different countries were recorded The data is shown in the following table:

Variants Denmark the Netherlands Norway
Cobber 7.2% 5.2% 1.2%
Painted 28.0% 14.0% 20.8%
Stainless 8.8% 4.8% 10.0%

The following testing is wanted: $$H_0: \mbox{ Independence between variant and country}$$ $$H_1: \mbox{ Dependence}$$ using the for this situation suitable test.

What is the expected number of lamps for the material copper sold in Denmark, assuming thet $H_0$ is true:

Question 3 of 3

If you did the previous exercise, the following is a repetition:

A company that sells outdoor lighting has a lamp made in 3 material variations: in copper, with a painted surface and stainless steel. The lamps are sold in Denmark and exported mainly to the Netherlands and Norway. For 250 Lamps the relative distribution of sales between the 3 variants and 3 different countries were recorded The data is shown in the following table:

Variants Denmark the Netherlands Norway
Cobber 7.2% 5.2% 1.2%
Painted 28.0% 14.0% 20.8%
Stainless 8.8% 4.8% 10.0%

The following testing is wanted: $$H_0: \mbox{ Independence between variant and country}$$ $$H_1: \mbox{ Dependence}$$ using the for this situation suitable test.

The critical value for the appropriate test on level 1% is: