27 August, 20:58

# A manufacturer of cell phone screens is concerned because 12 percent of the screens manufactured using a previous process were rejected at the final inspection and could not be sold. A new process is introduced that is intended to reduce the proportion of rejected screens. After the process has been in place for several months a random sample of 100 screens is selected and inspection. Of the 100 screens 6 are rejected. What are the appropriate hypotheses to investigate whether the new process reduces the population proportion of screens that will be rejected

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1. 27 August, 21:41
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Null hypothesis: There is no significant association between the existing process and the new process for reducing the population proportion of screens that will be rejected.

Alternative hypothesis : There is a significant association between the existing process and the new process for reducing the population proportion of screens that will be rejected.

Finally the null hypothesis will be rejected and we should accept the alternate hypothesis

Step-by-step explanation:

In the existing process the sample size and population was not known., but the percentage of rejected screens were given as 12%., but in the new process out of 100 screens only 6 are rejected

percentage of rejected screens using new process = 6: 100 * 100 = 6%

percentage of rejected screens using existing (old) process = 12%

so the new process is the effective one which reduces the rejection rate of screens., hence it is concluded that There is a significant association between the existing process and the new process for reducing the population proportion of screens that will be rejected.

so the null hypothesis will be rejected and we should accept the alternate hypothesis