The marital status distribution of the U.S. male population, ages 15 and older, is as follows: 35.4% never married, 53.6% married, 2.7% widowed, and 8.3% divorced/separated. A random sample of 300 U.S. young adult males, 18 to 24 years old, found 141 never married, 132 married, 3 widowed, and 24 divorced/separated. Using α = 0.10, is this evidence that males in this age group follow a different distribution than all males in the U.S.?

A professor of women's studies is interested in determining if stress affects the menstrual cycle.  Ten women are randomly sampled for an experiment and randomly divided into two groups.  One of the groups is subjected to high stress for two months while the other lives in a relatively stress-free environment. The professor measures the menstrual cycle (in days) of each woman during the second month.  The following data are obtained.   High stress 20 23 18 19 22 Relatively stress free 26 31 25 26 30 Assume you are evaluating H0 using the t test. The df for determining tcrit are _________.

The authors of a research article were interested in the effect on female viewers of watching movies in which female heroines were portrayed in roles that focus on their sex appeal. They carried out an experiment in which female college students were assigned at random to one of two experimental groups. The 24 women in one group watched 13 minutes of scenes from a certain superhero film series and then responded to a questionnaire designed to measure body esteem. Lower scores on this measure correspond to lower body satisfaction. The 27 women in the other group (the control group) did not watch any video prior to responding to the questionnaire measuring body esteem. For the women who watched the video, the mean body esteem score was 4.44 and the standard deviation was 1.02. For the women in the control group, the mean body esteem score was 5.07 and the standard deviation was 0.98. For purposes of this exercise, you may assume that the distribution of body esteem scores for each of the…

A random sample of n1 = 157 people ages 16 to 19 were taken from the island of Oahu, Hawaii, and 12 were found to be high school dropouts. Another random sample of n2 = 129 people ages 16 to 19 were taken from Sweetwater County, Wyoming, and 6 were found to be high school dropouts. Do these data indicate that the population proportion of high school dropouts on Oahu is different (either way) from that of Sweetwater County? Use a 1% level of significance. (a) What is the level of significance?   What is the value of the sample test statistic? (Test the difference p1 − p2. Do not use rounded values. Round your final answer to two decimal places.) (c) Find (or estimate) the P-value. (Round your answer to four decimal places.)

The following table shows the ethnic origins of two random samples of students from a Canadian university, one from 2012 and the other from 2022: European 2012 2022 African Asian 308 58 52 364 100 58 Note: Canadian born students are classified according to their ancestry. (a) What would be an appropriate test to check if there has been an overall change in the distribution of ethnic origins among the student population of that university between 2012 and 2022? Justify your answer. ] Other 22 38 (b) Based on your answer in (a) above, test whether there has been an overall change in the distribution of ethnic origins among the student population of that university between 2012 and 2022. Use a 5% significance level and show your detailed manual calculations and all the steps of your hypothesis test (hypotheses, significance level, expected cell frequencies (rounded to 1 decimal), test statistic, decision criteria, critical value and p-value, conclusion with justification). (Manual…

The accompanying data are x = advertising share and y = market share for a particular brand of soft drink during 10 randomly selected years. x 0.104 0.072 0.072 0.077 0.086 0.047 0.060 0.050 0.070 0.052 y 0.137 0.127 0.120 0.086 0.079 0.076 0.065 0.059 0.051 0.039   b)Calculate the equation of the estimated regression line. (Round your answers to four decimal places.)   d)Calculate a point estimate of ?e. (Round your answer to five decimal places.)

A random sample of n1 = 16 communities in western Kansas gave the following information for people under 25 years of age. x1:   Rate of hay fever per 1000 population for people under 25 97 91 122 130 94 123 112 93 125 95 125 117 97 122 127 88 A random sample of n2 = 14 regions in western Kansas gave the following information for people over 50 years old. x2:   Rate of hay fever per 1000 population for people over 50 94 111 100 95 110 88 110 79 115 100 89 114 85 96   What is the value of the sample test statistic? (Test the difference μ1 − μ2. Round your answer to three decimal places.)

A study was conducted to determine whether big-city and small-town dwellers differed in their helpfulness to strangers. In this study, the investigators rang the doorbells of strangers living in a large City or small towns in the vicinity. They explained they had misplaced the address of a friend living in the neighbourhood and asked to use the phone. The following data show the number of individuals who admitted or did not admit the strangers (the investigators) into their homes: Helpfulness to strangers   Admitted strangers into their home  Didnot admit strangers into their home  Big city dwellers 60 90 Small town dwellers 70 30 State the dependent and independent variable  Is this a directional or non directional

The following data are taken from an experiment in which the subjects were tested for motion sickness. Thesubjects were randomly assigned to either the control group which was given a placebo or the experimentalgroup which was given the drug Astemizole and observed on an ocean voyage. The same subjects were thenswitched and those that had the placebo were now given the drug, and those that had the drug were nowgiven a placebo and observed on a new ocean voyage taking the same course. The results are the number ofhead movements that the subjects could endure without becoming nauseous. Use α = 0.05 to test the claimthat Astemizole is effective, i.e. it takes a larger number of head movements before the subject getsnauseous.Control 19 45 36 42 38 31 30 40 41 35Drug 20 55 36 45 40 32 41 38 44 29 1) State the hypotheses and identify the claim. Group 1 is the Control group. 2)Find the test statistic and Find the p-value. 3)Make the decision and Summarize the results.

Suppose that a bookseller wants to study the relationship between book preference and residential area. A random sample of readers is chosen for the study, and each participant is asked to choose their favorite genre out of the following choices: mystery, fiction, nonfiction, and self-help. The results are detailed below. Does the evidence gathered show a relationship between book preference and residential area at α=0.1�=0.1?  Observed Sample of Readers   Mystery Fiction Nonfiction Self-Help Total Rural 2121 5454 7575 2828 178178 Urban 3636 8282 6767 5858 243243 Total 5757 136136 142142 8686 421421 Copy Data    Step 3 of 4 :   Compute the value of the test statistic. Round your answer to three decimal places, if necessary. (Note: If calculating by hand, be sure to use at least six decimal places in numbers for all intermediate calculations to ensure accuracy of the result.)