Question

In: Statistics and Probability

In order to diversify funds, the Samsung corporation has bought a large factory to manufacture Linux...

In order to diversify funds, the Samsung corporation has bought a large factory to manufacture Linux computers in the Silom district of Bangkok. Due to COVID-19, the factory must be sprayed at the beginning of the day to protect against the coronavirus. Two new disinfectants have just been marketed: Demo 1 and Demo 2. To test their effectiveness, some sections were selected and sprayed with Demo 1, and some others were sprayed with Demo 2. At the end of the week, 400 sections treated with Demo 1 were checked for traces of the coronavirus. Likewise, a sample of 380 sections sprayed with Demo 2 were checked. The results are:

Chemicals Number of sections Sprayed (sample size) Number of coronaviruses found
Demo 1 400 28
Demo 2 380 36

At the 0.05 significance level, can we conclude that there is a difference in the proportion of sections infested using Demo 1 as opposed to Demo 2? Hint: For the calculations, assume Demo 1 as the first sample.

  1. State the decision rule. (Negative amounts should be indicated by a minus sign. Do not round the intermediate values. Round your answers to 2 decimal places.)

  1. Compute the pooled proportion. (Do not round the intermediate values. Round your answer to 2 decimal places.)

  1. Compute the value of the test statistic. (Negative amount should be indicated by a minus sign. Do not round the intermediate values. Round your answer to 2 decimal places.)

  1. What is your decision regarding the null hypothesis?

  • Fail to reject

  • Reject

Solutions

Expert Solution

orchestra answered 1 year ago
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