Question

In: Statistics and Probability

A high school believes that their seniors have gotten exceptionally high SAT scores this year, and...

A high school believes that their seniors have gotten exceptionally high SAT scores this year, and they want to compare the SAT scores of their 400 seniors to the SAT scores of all the high school seniors in the country.

What is the best statistical test to use to analyze the hypothesis in scenario 1?

Group of answer choices

One-way ANOVA

Two Sample Z-Test

Factor Analysis

Correlation Coefficient

Independent sample t-Test

Dependent sample t-Test

Z-Score

Structural Equation Model

One Sample Z-Test

Which of the following is the null hypothesis for scenario 1?

Group of answer choices

HO: µ1 = µ2

HO: µ1 = µ2 =µ3

H0: X = µ

r = 0

What is the alternative hypothesis for scenario 1?

Group of answer choices

H1: X1 ≠ X2 ≠ X3

H1: X ≠ µ

r ≠ 0

H1: m1 < m2

Researchers are interested in studying whether time spent on social media is associated with happiness. They ask participants to rate the amount of time they spend on social media each week, and also measures their reports of happiness (on a scale of 1-10).

Which of the following is the null hypothesis for scenario 2?

Group of answer choices

H0: X = µ

H0: rxy > 0

H0: µ1 = µ2 = µ3

H0: rxy = 0

Which of the following is the alternative hypothesis for scenario 2?

Group of answer choices

H₁: rxy = 0

H₁: rxy >0

H₁: X ≠ µ

H₁: µ1 ≠ µ2 ≠µ3

Which of the following is the independent variable for scenario 2?

Group of answer choices

There is no independent variable in this study (because it is correlational)

Time spent on social media

Happiness

The participants

The laboratory

Which of the following is the dependent variable for scenario 2?

Group of answer choices

The participants

There is no dependent variable in this study (because it is correlational)

Time spent on social media

Happiness

The laboratory

hat is the best statistical test to use to analyze the hypothesis in scenario 2?

Group of answer choices

Dependent sample t-Test

z-test

Independent sample t-Test

Structural Equation Model

Correlation Coefficient

z-score

One-way ANOVA

Factor Analysis

Solutions

Expert Solution

The best statistical test to use to analyze the hypothesis in scenario 1: One Sample Z-Test

Explanation: One sample z-Test is chosen because we have to compare socre of SAT scores of their 400 seniors to the population SAT scores. There is is only one sample of 400 seniors.

The null hypothesis for scenario 1: H0: X = µ

The alternative hypothesis for scenario 1: H1: X ≠ µ

The null hypothesis for scenario 2: H0: rxy = 0

The alternative hypothesis for scenario 2: H1: rxy >0

The independent variable for scenario 2: There is no independent variable in this study (because it is correlational)

Explanation: As the researcher wants to find out whether there is association between the time spent on social media and happiness. So there is no independent variable

The dependent variable for scenario 2: There is no dependent variable in this study (because it is correlational)

Explanation: As the researcher wants to find out whether there is association between the time spent on social media and happiness. So there is no dependent variable

The best statistical test to use to analyze the hypothesis in scenario 2: Correlation Coefficient

orchestra answered 1 year ago

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