You wish to test the following claim (HaHa) at a significance level of α=0.10α=0.10. Ho:p1≥p2Ho:p1≥p2 Ha:p1
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You wish to test the following claim (HaHa) at a significance level of α=0.10α=0.10.
Ho:p1≥p2Ho:p1≥p2
Ha:p1<p2Ha:p1<p2
You obtain a sample from the first population with 240 successes and 413 failures. You obtain a sample from the second population with 321 successes and 390 failures.
critical value = | |
[three decimal accuracy] | |
test statistic = | |
[three decimal accuracy] |
The test statistic is...
- in the critical region
- not in the critical region
This test statistic leads to a decision to...
- reject the null hypothesis
- fail to reject the null hypothesis
As such, the final conclusion is that...
- There is sufficient evidence to support that the first population proportion is less than the second population proportion.
- There is not sufficient evidence to support that the first population proportion is less than the second population proportion.
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- The NAEP considers that a national average of 283 is an acceptable performance. Using α = .05, run a two-tail t-test for one sample to test Ho: µ=283 for the 2019 scores. Report the t-obt, df, and p-values. Would you reject the null hypothesis that the 2019 scores come from a population with average 283? If this is the case, does it come from a population from larger or smaller average?For which of the following pairs of significance levels and pp-values are the results statistically significant? That is, for each αα, should H0H0 be rejected based on the given pp-value? Select all cases where H0H0 should be rejected: α=α=0.003; pp-value==0.039 α=α=0.001; pp-value==0.002 α=α=0.010; pp-value==0.095 α=α=0.050; pp-value==0.009 α=α=0.025; pp-value==0.189 α=α=0.100; pp-value==0.02From a sample of 14 observations, an analyst calculates a t-statistic to test a hypothesis that the population mean is equal to zero. If the analyst chooses a 5% significance level, the appropriate critical value is: A. less than 1.80. B. greater than 2.16. C. between 1.80 and 2.16.
- there is 0.01 and 0.05 alpha level, what is the critical cutoff z scores for both? which one is easier to reject the null hypothesis and why?An investigator hypothesizes that the improvement rate associated with a placebo is P1 = 0.45, and that the improvement rate associated with an active drug is P2 = 0.65. The plan is to perform a two-tailed test. Use SAS to complete each problem below. (a) If a significance level 0.01 and a power of 0.95 are desired, how large a sample per treatment must he study? (b) How large must the sample size be if the significance level is relaxed to 0.05 and the power to 0.85? (c) For this study, suppose that you have funds to recruit 130 patients per group. What is the power for a 5% level test for this sample size? First do the computation by hand and then use SAS to confirm.If a researcher obtained a P-value of 0.01 for a hypothesis test that has a significance level of 0.05, what conclusion should the researcher make? 1 The null hypothesis should not be rejected. 2 The alternative hypothesis should not be rejected. 3 The null hypothesis should be rejected. 4 The alternative hypothesis should be rejected. 5 The null hypothesis must be false.
- Test the claim that the proportion of men who own cats is smaller than 70% at the 0.05 significance level.The null and alternative hypothesis would be: H0:p≤0.7H0:p≤0.7H1:p>0.7H1:p>0.7 H0:μ=0.7H0:μ=0.7H1:μ≠0.7H1:μ≠0.7 H0:p=0.7H0:p=0.7H1:p≠0.7H1:p≠0.7 H0:μ≥0.7H0:μ≥0.7H1:μ<0.7H1:μ<0.7 H0:μ≤0.7H0:μ≤0.7H1:μ>0.7H1:μ>0.7 H0:p≥0.7H0:p≥0.7H1:p<0.7H1:p<0.7 The test is: right-tailed two-tailed left-tailed Based on a sample of 800 people, 67% owned catsThe test statistic is: (to 2 decimals)The critical value is: (to 2 decimals)Based on this we: Fail to reject the null hypothesis Reject the null hypothesisAlso, using α = .05, run a two-tail t-test for one sample to test Ho: µ=283 for the 2009 scores. Report the t-obt, df, and p-values. Would you reject the null hypothesis that the 2009 scores come from a population with average 283? If this is the case, does it come from a population from larger or smaller average?Determine the critical value or values for a one-mean z-test at the 10% significance level if the hypothesis test is left-tailed (Ha:μ<μ0). z0.101.282z0.051.645z0.0251.960z0.012.326z0.0052.576
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