A manufacturer knows that   of its microchips are produced with a certain defect. They decide to change their process to make it more efficient, and they want to test if the new process has the same defect rate or not.Let   represent the proportion of microchips made with a defect under this new system.Which of the following is an appropriate set of hypotheses for their significance test?Choose 1 answer:Choose 1 answer:(Choice A)    A  (Choice B, Checked)    B  (Choice C)    C  (Choice D)    D

A quality control manager believes that there are too many defective light bulbs being produced, higherthan the advertised rate. The manager's null hypothesis is that the production line of light bulbs has adefect rate of p = 0.025 (the light bulb's stated defect rate). He does a hypothesis test with a significancelevel of 0.05. Symbolically, the null and alternative hypothesis are as follows: H0: p = 0.025 and Ha: p >0.025. Choose the statement that best describes the significance level in the context of the hypothesistest.A) The significance level of 0.05 is the defect rate we believe is the true defect rate.B) The significance level of 0.05 is the probability of concluding that the defect rate is equal to 0.025 whenin fact it is greater than 0.025.C) The significance level of 0.05 is the probability of concluding that the defect rate is higher than 0.025when in fact the defect rate is equal to 0.025.D) The significance level of 0.05 is the test statistic that we will use to compare the observed outcome tothe null hypothesis.

Suppose that some hypothesis H_0 was rejected at the α1 = 0.05 level of significance. If the same hypothesis test is repeated with the same evidence but at the new significance level of α2 = 0.01 then which of the following are true? Select one or more answers.Group of answer choicesH_0 may be retained.The p-value of the second test will be higher.H_0 will be rejected.The p-value of the second test will be lower.H_0 will be retained.

A production manager wants to determine whether a new manufacturing process leads to a significant reduction in defect rates compared to the old process. The calculated t-statistic for the independent samples t-test is 1.32 with a p-value of 0.202. What decision should the manager make regarding the null hypothesis?Group of answer choicesFail to reject the null hypothesisReject the null hypothesisAccept the null hypothesisReject the alternative hypothesis

Suppose we are conducting a hypothesis test with the following hypotheses:H0: p = 0.7H1: p > 0.7Furthermore suppose we get a p-value of 0.07 while using = 0.05, which of the following is the correct decision?a.At the 5% level of significance, there is significant evidence to reject H1 and retain H0.  b.At the 5% level of significance, there is significant evidence to retain H0c.At the 5% level of significance, there is significant evidence to reject H0 in favour of H1.  d.At the 5% level of significance, there is not significant evidence to reject H0.

Which of the following statements is true regarding the significance level in hypothesis testing?a.It is the probability of a Type 1 errorb.It is the probability of a Type 2 errorc.It is the probability of correctly accepting the null hypothesisd.It is the probability of correctly rejecting the null hypothesisClear my choice