A researcher wants to study the relationship between salary and gender. She randomly selects 307307 individuals and determines their salary and gender. Can the researcher conclude that salary and gender are dependent? Income Male Female Total Below $25,000$25,000 2626 2929 5555 $25,000$25,000-$50,000$50,000 4747 4747 9494 $50,000$50,000-$75,000$75,000 2424 2727 5151 Above $75,000$75,000 5454 5353 107107 Total 151151 156156 307307 Copy Data Step 6 of 8 : Find the critical value of the test at the 0.0250.025 level of significance.
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A researcher wants to study the relationship between salary and gender. She randomly selects 307307 individuals and determines their salary and gender. Can the researcher conclude that salary and gender are dependent?
Income | Male | Female | Total |
---|---|---|---|
Below $25,000$25,000 | 2626 | 2929 | 5555 |
$25,000$25,000-$50,000$50,000 | 4747 | 4747 | 9494 |
$50,000$50,000-$75,000$75,000 | 2424 | 2727 | 5151 |
Above $75,000$75,000 | 5454 | 5353 | 107107 |
Total | 151151 | 156156 | 307307 |
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Find the critical value of the test at the 0.0250.025 level of significance. Round your answer to three decimal places.
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- The 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?The table below summarizes data from a survey of a sample of women. Using a 0.01significance level, and assuming that the sample sizes of 800 men and 300 women are predetermined, test the claim that the proportions of agree/disagree responses are the same for subjects interviewed by men and the subjects interviewed by women. Does it appear that the gender of the interviewer affected the responses of women? Gender of Interviewer Man Woman Women who agree 498 247 Women who disagree 302 53 Compute the test statistic, rounding to three decimal places. Find the critical value(s). (Round to three decimal places) What is the conclusion based on the hypothesis test?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 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?
- A researcher wants to know whether the acidity of rain (pH) near Houston, Texas, is significantly different from that near Chicago, Illinois. He randomly selected 12 rain dates in Texas and 14 rain dates in Illinois and obtains the following data: Texas Illinois 4.69 5.10 4.40 4.69 5.22 4.46 4.22 4.64 4.93 4.65 4.54 4.35 5.22 4.76 4.69 4.40 4.25 5.14 4.75 4.63 4.11 4.71 4.45 4.49 4.36 4.52 Does the evidence suggest that there is a difference in the pH of rain in Chicago and Houston? Use a 5% level of significance.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?
- 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]A paper investigated the driving behavior of teenagers by observing their vehicles as they left a high school parking lot and then again at a site approximately 1 2 mile from the school. Assume that it is reasonable to regard the teen drivers in this study as representative of the population of teen drivers. MaleDriver FemaleDriver 1.4 -0.2 1.2 0.5 0.9 1.1 2.1 0.7 0.7 1.1 1.3 1.2 3 0.1 1.3 0.9 0.6 0.5 2.1 0.5 (a) Use a .01 level of significance for any hypothesis tests. Data consistent with summary quantities appearing in the paper are given in the table. The measurements represent the difference between the observed vehicle speed and the posted speed limit (in miles per hour) for a sample of male teenage drivers and a sample of female teenage drivers. (Use ?males − ?females. Round your test statistic to two decimal places. Round your degrees of freedom down to the nearest whole number. Round your p-value to three decimal places.) t = df =…A researcher wants to study the relationship between salary and gender. She randomly selects 400400 individuals and determines their salary and gender. Can the researcher conclude that salary and gender are dependent? Income Male Female Total Below $25,000$25,000 5050 4848 9898 $25,000$25,000-$50,000$50,000 3434 3535 6969 $50,000$50,000-$75,000$75,000 6262 5656 118118 Above $75,000$75,000 5454 6161 115115 Total 200200 200200 400400 Copy Data Step 3 of 8: Find the expected value for the number of men with an income $50,000$50,000-$75,000$75,000. Round your answer to one decimal place.
- A sample of 77 individuals working at a particular office was selected and the noise level(dBA) experienced by each individual was determined, yielding the following data :55.3 55.3 55.3 55.9 55.9 55.9 55.9 56.1 56.1 56.1 56.1 56.1 56.1 56.8 56.8 57.0 57.0 57.057.8 57.8 57.8 57.9 57.9 57.9 58.8 58.8 58.8 59.8 59.8 59.8 62.2 62.2 63.8 63.8 63.8 63.963.9 63.9 64.7 64.7 64.7 65.1 65.1 65.1 65.3 65.3 65.3 65.3 67.4 67.4 67.4 67.4 68.7 68.768.7 68.7 69.0 70.4 70.4 71.2 71.2 71.2 73.0 73.0 73.1 73.1 74.6 74.6 74.6 74.6 79.3 79.379.3 79.3 83.0 83.0 83.0Calculate an estimate of the mean of this distribution. You must show your workingclearly.A paper investigated the driving behavior of teenagers by observing their vehicles as they left a high school parking lot and then again at a site approximately 1 2 mile from the school. Assume that it is reasonable to regard the teen drivers in this study as representative of the population of teen drivers. MaleDriver FemaleDriver 1.3 -0.3 1.3 0.6 0.9 1.1 2.1 0.7 0.7 1.1 1.3 1.2 3 0.1 1.3 0.9 0.6 0.5 2.1 0.5 (a) Use a .01 level of significance for any hypothesis tests. Data consistent with summary quantities appearing in the paper are given in the table. The measurements represent the difference between the observed vehicle speed and the posted speed limit (in miles per hour) for a sample of male teenage drivers and a sample of female teenage drivers. (Use ?males − ?females. Round your test statistic to two decimal places. Round your degrees of freedom down to the nearest whole number. Round your p-value to three decimal places.) t = df =…Shushanna Tovmasyan, a consumer analyst collected the following data on the screen sizes of popular LCD televisions sold recently at a large retailer: Manufacturer Screen Price Sharp 46 $1,473.00 Samsung 52 2300 Samsung 46 1790 Sony 40 1250 Sharp 42 1546.5 Samsung 46 1922.5 Samsung 40 1372 Sharp 37 1149.5 Sharp 46 2000 Sony 40 2100 Sony 52 2615 Samsung 32 890.2 Sharp 37 1314.5 Sharp 32 853.5 Sharp 52 2778 Samsung 40 1749.5 Sharp 32 1035 Samsung 52 3100 Sony 40 1954 Sony 52 3210 Sony 46 2701 Sony 46 2899 Sony 52 4100 Samsung 46 1922.5 Samsung 40 1755 Sharp 37 1258 Sharp 46 2210 Samsung 40 785.2 Sharp 41 1500 Sharp 30 855 Sharp 55 3000 Leave your answer in 3 decimal places The coefficient of determination is and correlation…