3. Consider the following study in which standing and supine systolic blood pressures were compared. This study was performed on twelve subjects. Their blood pressures were measured in both positions. Subject Standing Supine 1 132 136 2 146 145 135 140 4 141 147 139 142 162 160 7 128 137 8 137 136 9 145 149 10 151 158 11 131 120 12 143 150 I. II. state the hypothesis find the test statistic III. what is the df if the p-value associated with test statistics is 0.144 and alpha is 0.05, can we say that On average there is a difference between the blood pressures in the two populations IV.
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- A sample of 12 male and 12 female students were surveyed and the amount spent on food last week were recorded. The results are summarized in the table below. Test for the hypothesis that the weekly amount spent on food of male and female students is the same, at a=0.10. Male Female 623 685 537 629 613 517 588 580 651 658 688 582 526 614 579 528 814 655 878 804 660 549 722 617 a. What are the null and alternative hypotheses?b. What is the critical value? (4 decimal points)c. What is the test statistic? (4 decimal points)e. Reject or accept null hypothesis?In analyzing the consumption of cottage cheese by members of various occupational groups, the United Dairy Industry Association found that 326 of 837 professionals seldom or never ate cottage cheese, versus 220 of 489 white-collar workers and 522 of 1243 blue-collar workers (Sheet 53). Assuming independent samples, use the 0.03 level in testing the null hypothesis that the population proportions could be the same for the three occupational groups. Sheet 53 Group 1 Group 2 Group 3 Total seldom or never 326 220 522 1068 often 511 269 721 1501 Total 837 489 1243 2569 Select one: a) chi-square stat = 4.81, crit. value = 7.01, fail to reject H0, population proportions are not different b) p-value = 0.09, reject H0, population proportions are not different c) chi-square stat = 4.81, crit. value = 9.2, fail to reject H0, population proportions are not different d) p-value = 0.029, reject H0, population proportions differentThe table below lists the annual salaries (in dollars) for a sample of 12 high school math teachers in Lousiana and 10 high school math teachers in Florida. Test the claim that high school math teachers in Louisiana get paid more than those in Florida using α=0.10. Louisiana 42300 45500 42100 39600 41500 43700 42500 43200 38400 36800 40100 42500 Florida 38600 35200 33700 41400 40600 39400 37500 36800 42100 36900 Let population 1 be Louisiana high school math teachers and population 2 be Florida high school math teachers. Round the test statistic to two decimal places, and round the p-value to four decimal places. The test statistic is . The p-value is . Should the null hypothesis be rejected?
- A researcher was interested in studying if there is a significant relationship between the severity of COVID 19 and blood types of individuals. 2400 individuals were studied and the results are shown below. Condition Blood Type O A B AB Total Critical 64 44 20 8 136 Severe 175 129 50 15 369 Moderate 211 528 151 125 1015 Mild 200 400 140 140 880 Total 650 1101 361 288 2400 a. State both the null and alternative hypotheses.b. Provide the decision rule for making this decision. Use an alpha level of 5%. c. Show all of the work necessary to calculate the appropriate statistic.d. What conclusion are you allowed to draw?e. Would your conclusion change at the 10% level of significance?f. Confirm test results in part (c) using JASP. Note: All JASP input files and outputtables should be providedA researcher was interested in studying if there is a significant relationship between the severity of COVID 19 and blood types of individuals. 2400 individuals were studied and the results are shown below. Condition Blood Type O A B AB Total Critical 64 44 20 8 136 Severe 175 129 50 15 369 Moderate 211 528 151 125 1015 Mild 200 400 140 140 880 Total 650 1101 361 288 2400 a. State both the null and alternative hypotheses. b. Provide the decision rule for making this decision. Use an alpha level of 5%. c. Show all of the work necessary to calculate the appropriate statistic. d. What conclusion are you allowed to draw? e. Would your conclusion change at the 10% level of significance?Jane is interested in studying if there is a significant relationship between the severity of COVID 19 and blood types of individuals. 2400 individuals were studied and the results are shown below. Condition Blood Type O A B AB Total Critical 64 44 20 8 136 Severe 175 129 50 15 369 Moderate 211 528 151 125 1015 Mild 200 400 140 140 880 Total 650 1101 361 288 2400 State both the null and alternative hypotheses. Provide the decision rule for making this decision. Use an alpha level of 5%. Show all of the work necessary to calculate the appropriate statistic. What conclusion are you allowed to draw? Would your conclusion change at the 10% level of significance? Confirm test results in part (c) using JASP. Note: All JASP input files and output tables should be provided
- The Substance Abuse and Mental Health Services Administration (SAMHSA, 2017) estimates that 10.9%10.9% of the population of the United States age 18–2418–24 had an episode of depression in the previous 12 months.12 months. Suppose a researcher takes a random sample of 225225 United States adults aged 18–24.18–24. Determine the value of the sample proportion, ?̂ ,p^, such that 2%2% of samples of 225225 United States adults age 18–2418–24 are greater than ?̂ .p^. You may find software or a ?-tablez-table useful.A researcher was interested in studying if there is a significant relationship between the severity of COVID 19 and blood types of individuals. 2400 individuals were studied and the results are shown below. blood types condition O A B AB Total critical 64 44 20 8 136 severe 175 129 50 15 369 moderate 211 528 151 125 1015 mild 200 400 140 140 880 total 650 1101 361 288 2400 a. State both the null and alternative hypotheses. b. Provide the decision rule for making this decision. Use an alpha level of 5%. c. Show all of the work necessary to calculate the appropriate statistic. d. What conclusion are you allowed to draw? e. Would your conclusion change at the 10% level of significance? [2 marks]In an article in the Journal of Advertising, Weinberger and Spotts compare the use of humor in television ads in the United States and in the United Kingdom. Suppose that independent random samples of television ads are taken in the two countries. A random sample of 400 television ads in the United Kingdom reveals that 142 use humor, while a random sample of 500 television ads in the United States reveals that 122 use humor. a) Set up the null and alternative hypotheses needed to determine whether the proportion of ads using humor in the United Kingdom differs from the proportion of ads using humor in the United States. b) Test the hypotheses you set up in part a by using critical values and by setting a equal to .10, .05, .01, and .001. How much evidence is there that the proportions of U.K. and U.S. ads using humor are different?. Please do this stepwise and explanation and also dont do handwritten or skip please!! I will like.
- The 2006 Statistical Abstract of the United States reports on a survey that asked a national sample of 80,000 American households about pet ownership. Suppose (for now) that one-third of all American households own a pet cat. Still supposing that one-third of all American households own a pet cat, between what two values do you expect 95% of all sample proportions to fall?In low-speed crash tests of five cars, the repair costs were computed for a factory authorizedrepair and an independent repair workshop. The results are listed in Table 2. Is there sufficientevidence to support the claim that the independent workshop has lower repair costs? Use a 0.01significance level.Table 2 car 1 2 3 4 5 authorized repair centre X1 RM797 RM571 RM904 RM1147 RM418 independent workshop X2 RM523 RM488 RM875 RM911 RM297 D=X1 - X2 274 83 29 236 121 D2 = (X1 -X2)2 75076 6889 841 55696 14641In order to determine whether or not there is a significant difference between the hourly wages of two companies, the following data have been accumulated. Company 1 Company 2 n1 = 80 n2 = 60 x̄1 = $10.80 x̄2 = $10.00 σ1 = $2.00 σ2 = $1.50 Refer to Exhibit 10-13. The null hypothesis for this test is _____.