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

When conducting a t-test, if the calculated t-value is greater than the critical t-value, what decision is made regarding the null hypothesis?*Fail to reject the null hypothesisReject the null hypothesisFail to reject the alternative hypothesisAccept the null hypothesisNone of the above

In a hypothesis test, the p-value is 0.009. The stated significance level is 0.05. What is the decision regarding the null hypothesis? a. More information is needed to make a decision. b. Not reject the null hypothesis c. Reject the null hypothesis. d. Reject the alternative hypothesis.

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.

A quality control manager thinks that there is a higher defective rate on the production line than theadvertised value of p = 0.025. She does a hypothesis test with a significance level of 0.05. Symbolically,the null and alternative hypothesis are as follows: H0: p = 0.025 and Ha: p > 0.025. She calculates ap-value for the hypothesis test of defective light bulbs to be approximately 0.067. Choose the correctinterpretation for the p-value.A) The p-value tells us that the true population rate of defective light bulbs is approximately 0.067.B) The p-value tells us that if the defect rate is 0.025, then the probability that she would observe thepercentage she actually observed or higher is 0.067. At a significance level of 0.05, this would notbe an unusual outcome.C) The p-value tells us that the result is significantly higher than the advertised value using asignificance level of 0.05.D) The p-value tells us that the probability of concluding that the defect rate is equal to 0.025, when infact it is greater than 0.025, is approximately 0.067

Suppose that a major polling organization wanted to test the hypothesis that there was a change in the president’s “approval rating” since last month. Last month, 35% of the representative sample of registered voters approved of the president. For this month, the null hypothesis was that the approval rating equals 35% and the alternative hypothesis is that the approval rating does not equal 35%. The significance level for this test was 0.05.The results of the hypothesis test of the new survey showed a p-value of 0.008.Which of the following statements is correct? Check all that apply. The results were statistically significant. The results were not statistically significant. The null hypothesis should be rejected. The null hypothesis should be accepted. The null hypothesis cannot be rejected.