Scenario: 200 people were asked, “Who is your favorite superhero?” Below are the data. Test the null hypothesis that the population frequencies for each category are equal. α= .05. Iron Man Black Panther Wonder Woman Spiderman fo = 40 fo = 60 fo =55 fo = 45 fe = fe = fe = fe = degrees of freedom, df = ______, and the Chi Square critical boundary = ______
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Scenario: 200 people were asked, “Who is your favorite superhero?” Below are the data. Test the null hypothesis that the population frequencies for each category are equal. α= .05.
Iron Man | Black Panther | Wonder Woman | Spiderman |
fo = 40 | fo = 60 | fo =55 | fo = 45 |
fe = | fe = | fe = | fe = |
degrees of freedom, df = ______, and the Chi Square critical boundary = ______
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- Betty, an employee of Shining Sun Daycare Centerread an article in Healthy Child Magazine sayingthat the average 3-year-old child is 37 in. tall.Betty works with 10 3-year-olds at Shining Sun,so later that week, she measured the height ofeach child who had just turned or was about toturn 3 years old. Here are the descriptive statisticsfor the sample: M = 35, s = 3.1. State the nondirectional hypothesis.2. Determine the critical t for a = .05.3. Calculate t. Show your calculations.4. Is the height of 3-year-olds in Shining SunDaycare Center significantly different fromthe height given in the magazine?For each of the following situations, identify whether the appropriate test is a paired t-test (for parameter µd) or a two-sample t-test (for parameter µ1 - µ2). Briefly explain your answer. Sixty students were matched by initial pulse rate, with the two with the highest pulse forming a pair, and so on. Within each pair, one student was randomly chosen to drink a caffeinated beverage, while the other one drank an equivalent amount of water. Their pulse rates were measured 10 minutes later, to test whether caffeine consumption elevates pulse rates. To determine whether lack of sleep increases appetite, researchers recruited 50 volunteers and randomly assigned 25 of them to sleep at least 8 hours a night and the other 25 to sleep at most 5 hours a night, for 3 days. Calorie intake was recorded for all 50 volunteers for the 3-day period.In single-sample, upper-tail test hypothesis test, if the researcher changes the alpha level from .05 to .10 then which statement is most true? a) a. the consequences of committing an alpha error are likely severe, all else held constant in the experiment b) b. the RR will comprise a larger area under the curve as a result, all else held constant c) c. the RR will comprise a smaller area under the curve as a result, all else held constant d) d. this image would accurately depict this change
- . In general, a ____ t-statistic and a _____ p-value (relative to a chosen critical value and alpha) indicate that our estimated statistic is ____ to occur by chance if the null is true. a. Large; large; likely b. Small; large; likely c. Small; small; unlikely d. Large; large; likelySuppose your dependent variable is crime rates for various cities. To correct for heteroskedasticity you should Select one: a. multiply observations by the city size b. multiply observations by the square root of the city size c. none of these d. divide observations by the square root of the city size e. divide observations by the city sizeSuppose your dependent variable is aggregate household demand for electricity for various cities. To correct for heteroskedasticity you should Select one: a. multiply observations by the square root of the city size b. multiply observations by the city size c. divide observations by the city size d. divide observations by the square root of the city size e. none of these
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- What type of statistical test are you conducting if h1 states that the parameter is greater than the value claimed in h0? a) left-tailed b) right-tailed c) two-tailed d) dove-tailedusing the z table (table e), find the critical value (or values) for each. a. alpha=0.10, two tailed test b. alpha=0.01, right tailed test c. aplha=0.005, left tailed testR/ Question 3 A humane society claims that less than 70% of households in a certain country own a pet. In a random sample of 400 households in that country, 268 say they own a pet. At α=0.10 is there enough evidence to support the society's claim? Complete parts (a) through (c) below. (a) Identify the claim and state H0 and Ha. (b) Identify the standardized test statistic first then use technology to find the P-value. (c) Decide whether to reject or fail to reject the null hypothesis and (d) interpret the decision in the context of the original claim.