In testing H0 : μ = 100 against H1 : μ ̸= 100 at the 10% significance level, the null hypothesis is rejected if: (a) 100 is contained in the 90% confidence interval. (b) The value of the test statistic is not in the rejection region. (c) The p-value is less than .10. (d) The p-value is greater than .10. (e) If the sample mean is not equal to 100.
Added by Justin N.
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Step 1: Given that we are testing H0 : μ = 100 against H1 : μ ̸= 100 at the 10% significance level. Show more…
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21. In testing H0 : μ = 100 against HA : μ ≠ 100 at the 10% level of significance, H0 is rejected if (a) the value of the test statistic is in the acceptance region. (b) the P-value is less than 0.10 (c) the P-value is greater than 0.10 (d) the sample mean is not equal to 100. (e) none of the above.
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For a randomly selected data, the 90% confidence interval limits for the population mean are between 170.86 and 195.42. If the 10% level of significance were used in testing the hypotheses H0: μ = 201 vs. H1: μ ≠ 201, the null hypothesis: a. None of the suggested answers are correct b. would become H0: μ ≠ 201 c. would be accepted. d. would be rejected. e. would fail to be rejected.
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For a test of a mean, which of the following is incorrect? A) If H0: μ ≤ 100 and H1: μ > 100, then the test is right-tailed. B) H0 is rejected when the calculated p-value is less than the critical value of the test statistic. C) The critical value is based on the researcher's chosen level of significance. D) In a right-tailed test, we reject H0 when the test statistic exceeds the critical value.
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