The relative conductivity of a semiconductor device is determined by the amount

Question

The relative conductivity of a semiconductor device is determined by the amount of impurity "doped" into the device during its manufacture. A silicon diode to be used for a specific purpose requires an average cut-on voltage of 0.60 V, and if this is not achieved, the amount of impurity must be adjusted. A sample of diodes was selected and the cut-on voltage was determined. The accompanying SAS output resulted from a request to test the appropriate hypotheses. [Note: SAS explicitly tests Ho: = 0, so to test Ho: = 0.60, the null value 0.60 must be subtracted from each xi the reported mean is then the average of the (x 0.60) values. Also, SAS's P-value is always for a two-tailed test.] T Prob. > ITI 0.0620 Mean Std Dev 16 0.0453333 0.0899100 2.0168302 What would be concluded for a significance level of 0.01? Reject the null hypothesis. There is sufficient evidence to conclude that the amount of impurities needs adjusting Reject the null hypothesis. There is not sufficient evidence to conclude that the amount of impurities needs adjusting Do not reject the null hypothesis. There is sufficient evidence to conclude that the amount of impurities needs adjusting Do not reject the null hypothesis. There is not sufficient evidence to conclude that the amount of impurities needs adjusting What would be concluded for a significance level of 0.05? Reject the null hypothesis. There is sufficient evidence to conclude that the amount of impurities needs adjusting O Reject the null hypothesis. There is not sufficient evidence to conclude that the amount of impurities needs adjusting Do not reject the null hypothesis. There is sufficient evidence to conclude that the amount of impurities needs adjusting Do not reject the null hypothesis. There is not sufficient evidence to conclude that the amount of impurities needs adjusting W hat would be concluded for a significance level of 0.10? Reject the null hypothesis. There is sufficient evidence to conclude that the amount of impurities needs adjusting O Reject the null hypothesis. There is not sufficient evidence to conclude that the amount of impurities needs ODo not reject the null hypothesis. There is sufficient evidence to conclude that the amount of impurities needs ODo not reject the null hypothesis. There is not sufficient evidence to conclude that the amount of impurities needs adjusting adjusting adjusting

Explanation / Answer

Here, since p-value is given, we can draw a conclusion based on the alpha level i.e. a. If p-value is less than a, reject the null hypothesis. Else do not reject.

Significance level of 0.01

Do not reject the null hypothesis. There is not sufficient evidence to conclude that the amount of impurities needs adjusting.

Significance level of 0.05

Do not reject the null hypothesis. There is not sufficient evidence to conclude that the amount of impurities needs adjusting.

Significance level of 0.10

Reject the null hypothesis. There is sufficient evidence to conclude that the amount of impurities needs adjusting.

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