A researcher wants to test the relationship between the number of years of formal education received (X;) and the average weekly earnings (Y;) (measured in hundred dollars). A report released by a government agency suggests that the average weekly earnings of individuals with no formal education is equal to $429. The researcher wants to test whether the average weekly earnings with no formal education is $429 or greater than that. He collects data from a sample of 100 individuals and estimates the following regression function: Ŷ₁ = 7.14+3.14X;, (3.24) (2.18) where ŷ, is the predicted value of the weekly earnings for the 1th individual and the standard errors for the coefficients appear in parenthesis. The t-statistic for the test the researcher wants to conduct will be (Round your answer to two decimal places.) At the 5% significance level, the researcher will the null hypothesis that the average weekly earnings of individuals with no formal education is equal to $429.

A researcher investigated whether a father's level of optimism was predictive of his son's optimism as a young adult. Twenty (20) fathers and sons who agreed to participate in the study were administered a scale measuring their current level of optimism (the scale ranged from 10 to 50), with higher scores indicating greater optimism.

7. A television station wishes to study the relationship between viewership of its 11 p.m. news program and viewer age (18 years or less, 19 to 35, 36 to 54, 55 or older). A sample of 250 television viewers in each age group is randomly selected, and the number who watch the station’s 11 p.m. news is found for each sample. The results are given in the table below.

What sampling technique is used?   In a research class of 40 students, the teacher divides the class into five groups, each with eight members per group. The teacher then asked the class to choose their group members based on interests, compatibility, and rapport. After the selection was made, the teacher realized that the abilities per group were uneven. He then reshuffled some members of the group to achieve equilibrium among the groups. The teacher needs ten students to represent each group. He selected one male and one female from each group based on academic performance, leadership skills, and social skills as qualities that will embody as representatives per group.

the unemployment rate for 18- to 34-year-olds was reported to be 10.8% (the Cincinnati Enquirer, november 6, 2012). assume that this report was based on a random sample of four hundred 18- to 34-year-olds. a. a political campaign manager wants to know if the sample results can be used to conclude that the unemployment rate for 18- to 34-years-olds is significantly higher than the unemployment rate for all adults. according to the bureau of labor Statistics, the unemployment rate for all adults was 7.9%. develop a hypothesis test that can be used to see if the conclusion that the unemployment rate is higher for 18- to 34-year-olds can be supported.b. use the sample data collected for the 18- to 34-year-olds to compute the p-value for the hypothesis test in part (a). using a 5 .05, what is your conclusion?c. explain to the campaign manager what can be said about the observed level of significance for the hypothesis testing results using the p-value

Note: If your answer does not exactly match the correct choice, it is due to rounding of intermediate calculations. To avoid the discrepancy, do your calculations in Excel without rounding. A life insurance company wishes to examine the relationship between the amount of life insurance held by a family and family income. From a random sample of households, the company collected the accompanying data. The data are in units of thousands of dollars. INSUR INCOME 97 38 141 29 y = X = Let INSUR 280 75 %3D INCOME 303 81 453 137 357 77 199 43 251 53 807 184 147 45 272 70 537 128 527 117 245 55 483 116 673 204 194 46 154 51 163 48 2 The denominator of the slope coefficient formula for the estimated regression equation is: 108,450.87 280 69 a 507 140 b 105,805.73 464 136 103,225.10 321 71 d 100,707.41 873 206 476 144 574 111 251 65 497 130 826 171 133 32 259 82 281 73 446 146 332 77 219 48 208 55 180 48 169 42 273 69 502 127 547 126 281 80 428 143 370 77 221 49 214 51

We are interested in analysing the effect of the lockout laws introduced in some areas of the Sydney CBD and nearby surrounds on the number of alcohol-related violent incidents.  Suppose we have two samples of data on the number of violent incidents in a number of local areas of the Sydney CBD and nearby surrounds. Pubs, hotels and clubs located in a subset of these areas became subject to the lockout laws when they were introduced in 2014. The first sample is from 2010 before the introduction of the lockout laws, and the second is from 2015 after the introduction of the law. The hypothesis we wish to test is that the introduction of the lockout laws reduces violent incidents in the areas in which the lockout laws were put in place.  We use a difference-in-difference model on the pooled data from 2010 and 2015. We find the following results: viol_inc hat = 33.21 (5.29) + 12.43lockout (7.01) – 4.19Yr2015 (2.98) – 3.32 (lockout x Yr2015) (1.85) N = 181, R^2 = 0.128 Where: viol_incis the…

Textbook authors must be careful that the reading level of their book is appropriate for the target audience. Some methods of assessing reading level require estimating the average word length. We've randomly chosen 20 words from a randomly selected page in Intro Stats and counted the number of letters in each word: 5, 5, 2, 11, 3, 5, 6, 8, 5, 4, 7, 2, 9, 4, 8, 10, 4, 7, 6, 9 Suppose that our editor was hoping that the book would have a mean word length of 6.8 letters. Does this sample indicate that the authors failed to meet this goal? With a significance level of 0.05, test an appropriate hypothesis and state your conclusion. (i.e state the appropriate null and alternative hypotheses, calculate the test statistic, conclude and interpret it).

Many parents allow underage children to drink alcohol in limited situations when an adult is present to supervise. The idea is that teens will learn responsible drinking habits if they first experience alcohol in a controlled environment. Other parents take a strict no-drinking approach. Researchers surveyed a sample of 200 students aged 14 to 17, about their alcohol use and about alcohol related problems. Using a=0.05, answer the questions No Alcohol related Problems Alcohol Related Problems Not allowed to drink 71 9 80 Allowed to drink 89 31 |120 160 40 N=200 What is the alternative hypothesis? [ Select] What is the null hypothesis? [ Select] What inferential test is being conducted? [ Select] What is the obtained statistic? [ Select ] What determines the critical value? [ Select ] What is the critical value? [ Select ] What is the decision rule? [ Select] What is your decision? [ Select] What is your conclusion? [ Select ]

A salesman for a new manufacturer of cellular phones claims not only that they cost the retailer less but also that the percentage of defective cellular phones found among his products, ( p1 ), will be no higher than the percentage of defectives found in a competitor's line, ( p2 ).  To test this statement, the retailer took a random sample of 130 of the salesman's cellular phones and 110 of the competitor's cellular phones.  The retailer found that 10 of the salesman's cellular phones and 5 of the competitor's cellular phones were defective.  Does the retailer have enough evidence to reject the salesman's claim?  Use a significance level of α=0.05 for the test. Step 5 of 6 :  Determine the decision rule for rejecting the null hypothesis H0 . Round the numerical portion of your answer to three decimal places.