relationship between salary and gender. She randomly selects 392392 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 48 45 93 $25,000$25,000-$50,000$50,000 38 36 74 $50,000$50,000-$75,000
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A researcher wants to study the relationship between salary and gender. She randomly selects 392392 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 | 48 | 45 | 93 |
$25,000$25,000-$50,000$50,000 | 38 | 36 | 74 |
$50,000$50,000-$75,000$75,000 | 46 | 40 | 86 |
Above $75,000$75,000 | 68 | 71 | 139 |
Total | 200 | 192 | 392 |
Find the critical value of the test at the 0.010.01 level of significance. Round your answer to three decimal places.
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- A researcher wanted to know if an individual’s reaction of the election was impacted by their political party and religious beliefs. Test to see if religious belief and political affiliation affects election reaction. Democrat Republican Independent Religious 10140714ΣX2 = 541 1117181816ΣX2 = 1314 2121121723ΣX2 = 1844 Non Religious 211310174ΣX2 = 1015 2420251825ΣX2 = 2550 2228292822ΣX2 = 3377The 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 random sample of soil specimens was obtained, andthe amount of organic matter (%) in the soil was determined for each specimen, resulting in the accompanyingdata (from “Engineering Properties of Soil,” SoilScience, 1998: 93–102). 1.10 5.09 0.97 1.59 4.60 0.32 0.55 1.450.14 4.47 1.20 3.50 5.02 4.67 5.22 2.693.98 3.17 3.03 2.21 0.69 4.47 3.31 1.170.76 1.17 1.57 2.62 1.66 2.05190 200 210 220The values of the sample mean, sample standard deviation, and (estimated) standard error of the mean are2.481, 1.616, and .295, respectively. Does this data suggest that the true average percentage of organic matterin such soil is something other than 3%? Carry out atest of the appropriate hypotheses at significance level.10. Would your conclusion be different if a 5 .05 hadbeen used? [Note: A normal probability plot of the datashows an acceptable pattern in light of the reasonablylarge sample size.]
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- The health board of a major city wants to know if people who have different types of healthcare coverage (HMO, Medicare/Medicaid, or no insurance) go to different types of hospitals (privately-funded, government-funded, or free clinic) when they are injured. Using the data below, test the null hypothesis that type of insurance does not affect which hospital type they choose. Insurance Type Private Public Free Clinic HMO 17 6 4 Medicare/Medicaid 24 30 9 No insurance 8 14 8Consider the dihybrid cross, YSs x YySs, where Y refers to yellow fur, y refers to white fur, S refers to short fur, and s refers to long fur. Capitalized letters refer to dominant traits, and lowercaseletters refer to recessive traits How many offspring have white, long fur?1.12.43.84.12In an experiment with the effect of different feeding on sheep fertility, two feed categories were examined, A and B. 192 rivers were given feed category A and 190 were given feed category B. The following number of monocotyledonous and dicotyledonous sheep were obtained in each category: Feed category A Feed category B Monocotyledonous 60 82 Dicotyledonous 132 108 Examine with an appropriate hypothesis test whether there is a difference in fertility by feed category.