A college student is interested in testing whether business majors or liberal arts majors are better at trivia. The student gives a trivia quiz to a random sample of 30 business school majors and finds the sample’s average test score is 86. He gives the same quiz to 30 randomly selected liberal arts majors and finds the sample’s average quiz score is 89. The student finds that the p-value for the hypothesis test equals approximately 0.0524. What can be concluded at αα=5%? The student should reject the null hypothesis and conclude that there is insufficient evidence of difference between business and liberal arts majors’ knowledge of trivia. The student should reject the null hypothesis and conclude that there is a significant difference between business and liberal arts majors’ knowledge of trivia. The student should fail to reject the null hypothesis and conclude that there is insufficient evidence of difference between business and liberal arts majors’ knowledge of trivia. The student should fail to reject the null hypothesis and conclude that there is a significant difference between business and liberal arts majors’ knowledge of trivia.

The student should fail to reject the null hypothesis and conclude that there is insufficient evidence of difference between business and liberal arts majors' knowledge of trivia.

Step-by-step explanation:

Null hypothesis: Business majors are the same as liberal arts major at trivia.

Alternate hypothesis: Business majors are better (greater) than liberal arts majors at trivia.

Conclusion:

Fail to reject the null hypothesis because the p-value 0.0524 is greater than the significance level 0.05

first, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

then, with the variables defined, we have:

68594 vinyl records were sold in 1958 > f (8) = 68594

91299 vinyl records were sold in 1961 > f (11) = 91299

38720 vinyl records were sold in 1952 > f (2) = 38720

161743 vinyl records were sold in 1967 > f (17) = 161743

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step-by-step explanation:

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.