Test the claim that the proportion of men who own cats is smaller than 30% at the .10 significance level. The null and alternative hypothesis would be: Ho: μ = 0.3 H₁:μ0.3 O Ho: p=0.3 H₁:p> 0.3 Ο Η : μ = 0.3 H : μ < 0.3 Ho: p=0.3 H₁: p=0.3 O H : |=0.3 H : μ > 0.3 Ho: p= 0.3 H₁ :p < 0.3 Based on a sample of 65 people, 27% owned cats The test statistic is The critical value is Based on this we O Reject the null hypothesis O Fail to reject the null hypothesis (to 3 decimals) (to 2 decimals)
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- You wish to test the following claim (HaHa) at a significance level of α=0.002α=0.002. Ho:μ1=μ2 Ha:μ1≠μ2You believe both populations are normally distributed and that the population standard deviations are known. You obtain a sample of size n1=42 with a mean of ¯x1=69.5 and a population standard deviation of σ1=16.2 from the first population. You obtain a sample of size n2=55 with a mean of ¯x2=75.4 and a population standard deviation of σ2=17.9 from the second population.What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the first population…You wish to test the following claim (HaHa) at a significance level of α=0.05 Ho:μ1=μ2 Ha:μ1>μ2You obtain the following two samples of data. Sample #1 Sample #2 51.6 63.2 60 52.9 54.9 55.6 57.9 61.4 48.8 54.4 49.8 60.6 46 65.7 54.4 62.9 62 52 64.3 50.6 72.3 53.6 65 59.3 55.4 66.6 57.9 54 52.7 46.6 57.1 59.3 56.9 50.9 52.7 50.1 58.9 52 50.6 48.4 53.1 54.4 54.9 58.9 60.9 58.4 66.2 55.7 63.7 57.1 57.9 54 57.9 67.2 52.2 56.7 66.2 50.1 61.1 56.7 25.1 55.1 37 27.3 44 22.4 30 30 46.9 38.5 60.8 50.9 40.5 66.3 32.9 69.5 43.6 30.8 40.5 75.4 31.5 53.8 73.9 53.4 25.1 32.2 69.5 38.5 36.5 60.3 43.1 40.5 15.8 48.9 56 What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? For this calculation, use the degrees of freedom reported from the technology you are using. (Report answer accurate to four decimal places.)p-value = The…You wish to test the following claim (HaHa) at a significance level of α=0.001α=0.001. For the context of this problem, μd=μ2−μ1μd=μ2-μ1 where the first data set represents a pre-test and the second data set represents a post-test. Ho:μd=0Ho:μd=0 Ha:μd>0Ha:μd>0You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain pre-test and post-test samples for n=50n=50 subjects. The average difference (post - pre) is ¯d=17.6d¯=17.6 with a standard deviation of the differences of sd=46.1sd=46.1.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There…
- You wish to test the following claim (Ha) at a significance level of α=0.10 Ho:μ1=μ2 Ha:μ1≠μ2You obtain the following two samples of data. Sample #1 Sample #2 69.2 62.6 86.1 59.8 63.9 51.2 58.5 70.6 64.5 44.2 57.1 75 73.6 62.6 61.7 57.1 67.1 77.3 64.8 58.8 68.1 60.1 72.7 74 81 55.7 68.8 69.9 36.9 66.4 56.8 63.9 52.5 50.7 80.2 67.1 63.5 60.4 58.1 43.2 51.6 70.6 86.1 60.7 62 77.9 52.9 61 60.4 73.6 68.8 51.6 69.9 50.2 67.8 56.6 73.3 61 47.7 55.7 58.6 73.3 51.7 64.7 54.7 59.6 59.3 55.4 26 42.1 76.1 43.7 38.7 63.5 48.5 49.6 65.1 70.5 68.8 65.5 42.1 44.2 63.1 46.9 56.3 47.7 34.8 66.9 86 31.7 What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? For this calculation, use the degrees of freedom reported from the technology you are using. (Report answer accurate to four decimal places.)p-value = The p-value is... less than…You wish to test the following claim (HaHa) at a significance level of α=0.001α=0.001. Ho:μ=64.9Ho:μ=64.9 Ha:μ>64.9Ha:μ>64.9 You obtain a sample of size n=301n=301 with mean ¯x=68.2x¯=68.2 and a standard deviation of s=20.5s=20.5. What is the test statistic for this sample? test statistic = Round to 3 decimal places What is the p-value for this sample? p-value = Use Technology Round to 4 decimal places. The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 64.9. There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 64.9. The sample data support the claim that the population mean is greater than 64.9. There is not sufficient sample evidence to support the…You wish to test the following claim (HaHa) at a significance level of α=0.001α=0.001. For the context of this problem, μd=μ2−μ1μd=μ2-μ1 where the first data set represents a pre-test and the second data set represents a post-test. Ho:μd=0Ho:μd=0 Ha:μd>0Ha:μd>0You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain pre-test and post-test samples for n=217 subjects. The average difference (post - pre) is ¯d=0.9 with a standard deviation of the differences of sd=9.3.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the P-value for this test? For this calculation, use the conservative under-estimate for the degrees of freedom as mentioned in the textbook. (Report answer accurate to four decimal places.)P-value = The P-value is... less than (or equal to) αα greater than αα This P-value leads to a decision to... reject the null…
- You wish to test the following claim (HaHa) at a significance level of α=0.05α=0.05. Ho:μ=68.1Ho:μ=68.1 Ha:μ<68.1Ha:μ<68.1You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=81n=81 with mean M=59.2M=59.2 and a standard deviation of SD=20.5SD=20.5.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic =Steps on TI-84????What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = steps on TI-84???The p-value is...??? less than (or equal to) αα greater than αα This test statistic leads to a decision to...?? reject the null accept the null fail to reject the null As such, the final conclusion is that...???? There is sufficient evidence to warrant rejection of the claim that the population mean is less than 68.1. There is not sufficient evidence to warrant rejection of the claim that the population mean is…ou wish to test the following claim (Ha) at a significance level of α=0.005. Ho:μ1=μ2Ha:μ1≠μ2 You believe both populations are normally distributed, but you do not know the standard deviations for either, and you have no reason to believe the variances of the two populations are equal. You obtain a sample of size n1=18 with a mean of M1=81.6 and a standard deviation of SD1=8.2 from the first population. You obtain a sample of size n2=23 with a mean of M2=88.9 and a standard deviation of SD2=5.8 from the second population. What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value =You wish to test the following claim (HaHa) at a significance level of α=0.005α=0.005. For the context of this problem, μd=μ2−μ1μd=μ2-μ1 where the first data set represents a pre-test and the second data set represents a post-test. Ho:μd=0Ho:μd=0 Ha:μd<0Ha:μd<0You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain pre-test and post-test samples for n=16n=16 subjects. The average difference (post - pre) is ¯d=−2.7d¯=-2.7 with a standard deviation of the differences of sd=13.3sd=13.3.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There…
- You wish to test the following claim (HaHa) at a significance level of α=0.02α=0.02. For the context of this problem, μd=μ2−μ1μd=μ2-μ1 where the first data set represents a pre-test and the second data set represents a post-test. Ho:μd=0Ho:μd=0 Ha:μd>0Ha:μd>0You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain pre-test and post-test samples for n=39n=39 subjects. The average difference (post - pre) is ¯d=15.3d¯=15.3 with a standard deviation of the differences of sd=47.8sd=47.8.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There…You wish to test the following claim (Ha) at a significance level of α=0.10. Ho:μ1=μ2 Ha:μ1<μ2 You obtain a sample of size n1=21 with a mean of M1=72.5 and a standard deviation of SD1=18.7 from the first population. You obtain a sample of size n2=22 with a mean of M2=76.2 and a standard deviation of SD2=15.8 from the second population. Use the Theory-based inference applet to conduct the test of significance. (a) What is the t-score for this sample? t-score = (Round to 2 decimal places.) (b) What is the p-value for this sample? p-value = (Round to 4 decimal places.) (c) The p-value is... less than (or equal to) α greater than α (d) This p-value leads to a decision to... strong evidence to support the alternative accept the null null is plausible (e) As such, the final conclusion is that... We conclude that μ1<μ2 . We conclude that μ1=μ2 . We have statistically significant evidence to support the claim that μ1<μ2 ..…You wish to test the following claim (HaHa) at a significance level of α=0.002α=0.002. For the context of this problem, μd=μ2−μ1μd=μ2-μ1 where the first data set represents a pre-test and the second data set represents a post-test. Ho:μd=0Ho:μd=0 Ha:μd>0Ha:μd>0You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain pre-test and post-test samples for n=35n=35 subjects. The average difference (post - pre) is ¯d=5d¯=5 with a standard deviation of the differences of sd=18.6sd=18.6.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is…