% of them were no longer smoking after one month. Use a 0.05 significance level to test the a that 78% of patients stop smoking when given sustained care. Use the P-value method. Use normal distribution as an approximation to the binomial distribution. tify the null and alternative hypotheses. p 0.81 0.81 oose answer: a for =, b for > , c for < , d for =) ntify the test statistic: (Round to two decimal places) entify the P value value (Round to three decimal places.) %3D
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- Determine the null and alternative hypotheses. Choose the correct choice below. A. H0: The expected frequencies are all equal to 5. Ha: At least one expected frequency differs from 5. B. H0: The distribution of the variable is the same as the given distribution. Ha: The distribution of the variable differs from the given distribution. C. H0: The distribution of the variable differs from the normal distribution. Ha: The distribution of the variable is the normal distribution. D. H0: The distribution of the variable differs from the given distribution. Ha: The distribution of the variable is the same as the given distribution. Compute the value of the test statistic, χ2. χ2= (Round to three decimal places as needed.) Find the P-value. P= (Round to three decimal places as needed.) Does the data provide sufficient evidence that the distribution of the variable differs from the given distribution? A. No,…Who misses work more often at the ABC Company: Smokers or non-smokers? Are they different? Test at .02 significance level. Smokers: Average number of days absent = 12; standard deviation = 5.0; n = 60Non-Smokers: Average number of days absent = 9; standard deviation = 4.0; n = 40;A recent study focused on the amount of money single men and women save monthly. The information is summarized here. Assume that the population standard deviations are unknown but equal. Sample Size Sample Mean Sample Standard Deviation Men 25 50 10 Women 30 54 5 At the 0.01 significance level, do women save more money than men? What is the value of the test statistic for this hypothesis test? Multiple Choice +1.819 +2.326 +1.924 +2.399
- Listed below are the numbers of years that archbishops and monarchs in a certain country lived after their election or coronation. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Use a 0.10 significance level to test the claim that the mean longevity for archbishops is less than the mean for monarchs after coronation, All measurements are in years. ok nch Click the icon to view the table of longevities of archbishops and monarchs. What are the null and alternative hypotheses? Assume that population 1 consists of the longevity of archbishops and population 2 consists of the longevity of monarchs. O B. Ho H1 = H2 H, 2 OA. Ho H1 SH2 correct: er Conter YC. Ho H1 = H2 H, H H2 O D. Ho H1 2 H H P2 for Succes media Lib The test statistic is. (Round to two decimal places as needed.) hase Optio rse ToolsThe gas mileages (in miles per gallon) of 23 randomly selected sports cars are listed in the accompanying table. Assume the mileages are not normally distributed. Use the standard normal distribution or the t-distribution to construct a 95% confidence interval for the population mean. Justify your decision. If neither distribution can be used, explain why. Interpret the results. Click the icon to view the sports car gas mileages. gas mileages :2131172120241824252020292625221621252320222119 Let σ be the population standard deviation and let n be the sample size. Which distribution should be used to construct the confidence interval? ▼ be used to construct the confidence interval, sinceThe accompanying data table lists the magnitudes of 50 earthquakes measured on the Richter scale. Test the claim that the population of earthquakes has a mean magnitude greater than 1.00. Use a 0.01 significance level. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, and conclusion for the test. Assume this is a simple random sample.
- The average retirement age in America is 63 years old. Do small business owners retire at a different average age? The data below shows the results of a survey of small business owners who have recently retired. Assume that the distribution of the population is normal. 66, 60, 62, 71, 58, 73, 60, 72, 70, 61, 57 What can be concluded at the the a 0.05 level of significance level of significance? a. For this study, we should use t-test for a population mean b. The null and alternative hypotheses would be: Ho: uv = 63 H: uv> c. The test statistic ? = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? a f. Based on this, we should Select an answerv the null hypothesis. g. Thus, the final conclusion is that O The data suggest the population mean retirement age for small business owners is not significantly different from 63 at a = 0.05, so there is insufficient evidence to conclude that the population mean…The height of women ages 20-29 is normally distributed, with a mean of 63.6 inches. Assume o = 2.5 inches. Are you more lrely to randomly select 1 woman with a height less than 64.1 inches or are you more likely to select a sample of 20 women with a mean height less than 64.1 inches? Explain. E Click the icon to view page 1 of the standard normal table. E Click the icon to view page 2 of the standard normal table. What is the probability of randomly selecting 1 woman with a height less than 64.1 inches? (Round to four decimal places as needed.) Enter your answer in the answer box and then click Check Answer. Check Answer Clear All parts 2 FemainingDo rats take less time on average than hamsters to travel through a maze? The table below shows the times in seconds that the rats and hamsters took. Rats: 36, 35, 22, 42, 25, 14, 31, 14 Hamsters: 41, 37, 12, 46, 39, 46, 38, 45, 27, 29 Assume that both populations follow a normal distribution. What can be concluded at the a = 0.05 level of significance level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Ho: Select an answer v Select an answer v Select an answer v (please enter a decimal) H: Select an answer v Select an answer v Select an answer v (Please enter a decimal) b. The test statistic (please show your answer to 3 decimal places.) c. The p-value = (Please show your answer to 4 decimal places.) d. The p-value is ? ♥ a e. Based on this, we should Select an answer f. Thus, the final conclusion is that ... the null hypothesis. O The results are statistically insignificant at a = 0.05, so there is statistically…
- The accompanying data table lists the magnitudes of 50 earthquakes measured on the Richter scale. Test the claim that the population of earthquakes has a mean magnitude greater than 1.00. Use a 0.01 significance level. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, and conclusion for the test. Assume this is a simple random sample Magnitude of Earthquake 0.720 0.740 0.640 0.390 0.700 2.200 1.980 0.640 1.220 0.200 1.640 1.320 2.950 0.900 1.760 1.010 1.260 0.000 0.650 1.460 1.620 1.830 0.990 1.560 0.410 1.280 0.830 1.320 0.540 1.250 0.920 1.000 0.780 0.790 1.440 1.000 2.240 2.500 1.790The state of Connecticut claims that the average time on death row is 15 years. A random survey of 75 death row inmates revealed that the average length of time on death row is 17.8 years with a standard deviation of 6.8 years. Conduct a hypothesis to test the state of Connecticut's claim. Use 5% significance level. What type of test should be run? t-test of a mean z-test of a proportion The alternative hypothesis indicates a right-tailed test left-tailed test two-tailed test Calculate the p-value. Round to 4 decimal places. What is the decision? We fail to reject the claim that the average time on death row is 15 years We reject the claim that the average time on death row is 15 yearsThe glucose readings are 95, 86, 84, 107, 101, 112,85,86. The sample mean is 94.8, it is a normal distribution wirh the standard devian is 12.5, and the mean glucose is 85. Do these data indicate that Ben has an overall average level higher than 85? Use a=0.05, what is the level of significance? Compute z value of the sample test statistic. Find p value