In a simple regression analysis for a given data set, if the null hypothesis ? = 0 is rejected, then the null hypothesis ? = 0 is also rejected. This statement is ___________ true. always never sometimes
Ans:
The test statistic t for regression slope and population correlation cofficient are equivalent,so if null hypothesis for slope is rejected,it will also be rejected for correlation cofficient always.
True,always
In a simple regression analysis for a given data set, if the null hypothesis ? =...
Using either the critical value rule or the p-value rule, if a one-sided null hypothesis for a single mean cannot be rejected at a given significance level, then the corresponding two-sided null hypothesis (i.e., the same sample size, the same standard deviation, and the same mean) will ______________ be rejected at the same significance level. always sometimes never
The null hypothesis must be rejected at a 5% level of significance. The null hypothesis must be rejected at a 1% level of significance. The null hypothesis must be rejected at both a 5% and a 1% level of significance. None of the above. same set For a hypothesis testing problem with a given data set, you have rejected the null hypothesis at a 10% level of significance. For the same data set,
In a simple regression model, the value of the t-statistic, which tests the null hypothesis that the slope true slope coefficient is zero, is equal to 2. The F- statistic that tests the null hypothesis that the true coefficient of determination is zero is equal to: 4 6 O 2 0.5
Which of the following statement is true about hypothesis testing in regression analysis? A. It is to test a statement about a coefficient of a sample regression B. It is to test a statement about a parameter value for the population C. The value for null hypothesis must be 0 D. none of the above is true
In multiple regression analysis, testing the global null hypothesis that all regression coefficients are zero is based on ________.
A P-value of 0.12 is calculated on a hypothesis test with a significance level set at 0.01. Which of the following is the correct conclusion for the test? a. Claim the null hypothesis is true b. Fail to reject the null hypothesis c. Reject the null hypothesis d. Claim the alternative hypothesis is true Which of the following are not requirements for using the t-distribution for a hypothesis test concerning μ? (More than one answer may be correct.) a. Sample...
A proposed null hypothesis states that there is no difference between the mean weights of the population of two neighboring districts. The sample mean difference is 12 kilograms, and the standard deviation of the distribution of the difference between sample means is 9 kilograms.Which statement is true? A. The null hypothesis must be accepted if we choose the 68% confidence level. B. The null hypothesis must be accepted if we choose the 95% confidence level. C. The null hypothesis must...
A trend in the data means that the experimenter: rejected the null hypothesis at p < .05 rejected the null hypothesis at p < .01 did not reject the null hypothesis but came close to doing so. none of the above.
You set up a two-sided hypothesis test for a population mean μ with a null hypothesis of H0:μ=100. You chose a significance level of α=0.05. The p-value calculated from the data is 0.12, and hence you failed to reject the null hypothesis. Suppose that after your analysis was completed and published, an expert informed you that the true value of μ is 104. How would you describe the result of your analysis? A) A Type 1 error was made because...
If a null hypothesis is rejected at a significance level of 1%, then we should say that it was rejected at 1%. Reporting that the null was also rejected at the 5% level of significance is unnecessary and unwise. True or false?