Analysis of Student Class Preferences and Statistical Hypotheses

In a random sample of 40 UCSD students, 15 prefer morning classes, 15 prefer afternoon classes, and 10 prefer evening classes. Test whether students in the population prefer certain times over others to have class? Use alpha = .01. What are the hypotheses? Ho : H 1 : What is the decision rule?

In a random sample of 40 UCSD students, 15 prefer morning classes, 15 prefer afternoon classes, and 10 prefer evening classes. Test whether students in the population prefer certain times over others to have class? Use alpha = .01. What are the hypotheses? Ho : P(M) = P(A) = P(E) = 1/3 H 1 : Ho is false What is the decision rule? Reject Ho at α = .01 and with C-1 = 3-1= 2 df if χ 2 ≥ 9.21.

Contra-ban sunglasses are advertised to block 90% of ultraviolet rays. You want to test your hunch that the actual proportion blocked it lower. In a sample of 25, the mean proportion of UV rays blocked was .84, with a standard deviation of .05. Alpha=.05. Ho: H1: DR :

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Contra-ban sunglasses are advertised to block 90% of ultraviolet rays. You want to test your hunch that the actual proportion blocked it lower. In a sample of 25, the mean proportion of UV rays blocked was .84, with a standard deviation of .05. Alpha=.05. Ho: µ ≥ .90 H1: µ < .90 DR : At alpha = .05 and with n-1=24 df, reject Ho if t ≦ -1.71.

A sample of democrats and republicans were asked whether they think some hypothetical president obstructed justice. Twenty-five democrats said yes, and 37 democrats said no. Among republicans, 35 said yes and 27 said no. Test whether opinion about the president depends on political party? Alpha = .05. What are the hypotheses? Ho : H 1 : What is the decision rule?

A sample of democrats and republicans were asked whether they think some hypothetical president obstructed justice. Twenty-five democrats said yes, and 37 democrats said no. Among republicans, 35 said yes and 27 said no. Test whether opinion about the president depends on political party? Alpha = .05. What are the hypotheses? Ho : Political party affiliation and opinion about the president’s obstruction of justice are independent. H 1 : Ho is false What is the decision rule? Reject Ho at α = .05 and with df = (C-1)(R-1) = (2-1)(2-1) = 1 if χ 2 ≥ 3.84.

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In a sample of 27 randomly selected Americans, the correlation between number of years of education, and ratings of the importance of education, was .58. Test the research hypothesis the population correlation coefficient is greater than zero. alpha = .01. What are the hypotheses? Ho : H 1 : What is the decision rule?

In a sample of 27 randomly selected Americans, the correlation between number of years of education, and ratings of the importance of education, was .58. Test the research hypothesis the population correlation coefficient is greater than zero. alpha = .01. What are the hypotheses? Ho : ρ ≤ 0 H 1 : ρ > 0 What is the decision rule? At α = .01, reject Ho with df = n - 2 = 27-2 = 25 if t ≥ 2.485.

You toss a coin 100 times. It comes up heads 60 times. Test the null hypothesis that it is a fair coin. α = .05. What are the hypotheses? Ho : H 1 : What is the decision rule?

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You toss a coin 100 times. It comes up heads 60 times. Test the null hypothesis that it is a fair coin. α = .05. What are the hypotheses? Ho : P(H) = P(T) = .5 H 1 : Ho is false What is the decision rule? Reject Ho at α = .05 and df = C-1 = 2 – 1 = 1 if χ 2 ≥ 3.85.

A researcher is specifically interested in whether BGA improves memory (higher test scores are better). In a two independent samples test, Group 1 gets the BGA supplement and the Group 2 gets the placebo. With alpha = .01 and 48 df, state the hypotheses and decision rule. Hypotheses: Ho : H 1 : Decision rule:

A researcher is specifically interested in whether BGA improves memory (higher test scores are better). In a two independent samples test, Group 1 gets the BGA supplement and the Group 2 gets the placebo. With alpha = .01 and 48 df, state the hypotheses and decision rule. Hypotheses: Ho : µ 1 - µ 2 ≤ 0 H 1 : µ 1 - µ 2 > 0 Decision rule: Reject Ho at α = .01 and df = (n 1 + n 2 – 2) = 48 if t ≥ 2.423.

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21b review_decision_post

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