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A sociologist wishes to study the relationship between happiness and age. He interviews 24 individuals and collects data on age and happiness, measured on a scale from 0 to 100. Estimate: Happiness = ?0 + ?1 Age + ?. (Round your answers to 2 decimal places.) Happiness = [ ] + [ ] Age. b-1. Choose the hypotheses to determine if age has an impact on happiness. H0: ?1 = 0; HA: ?1 ? 0 H0: ?1 < 0; HA: ?1 > 0 H0: ?1 > 0; HA: ?1 < 0 b-2. Calculate the value of the test statistic. (Round answer to 2 decimal places.) Test statistic: [ ] b-3. Find the p-value: ? p-value < 0.01 ? 0.01 ? p-value < 0.025 ? 0.025 ? p-value < 0.05 ? 0.05 ? p-value < 0.10 ? p-value ? 0.10 c. At the 1% significance level, is Age significant in explaining Happiness? No, since we do not reject the null hypothesis. Yes, since we do not reject the null hypothesis. No, since we reject the null hypothesis. Yes, since we reject the null hypothesis.

          A sociologist wishes to study the relationship between happiness and age. He interviews 24 individuals and collects data on age and happiness, measured on a scale from 0 to 100.

Estimate: Happiness = ?0 + ?1 Age + ?. (Round your answers to 2 decimal places.)

Happiness = [    ] + [    ] Age.

b-1. Choose the hypotheses to determine if age has an impact on happiness.

H0: ?1 = 0; HA: ?1 ? 0
H0: ?1 < 0; HA: ?1 > 0
H0: ?1 > 0; HA: ?1 < 0

b-2. Calculate the value of the test statistic. (Round answer to 2 decimal places.)

Test statistic: [    ]

b-3. Find the p-value:

? p-value < 0.01
? 0.01 ? p-value < 0.025
? 0.025 ? p-value < 0.05
? 0.05 ? p-value < 0.10
? p-value ? 0.10

c. At the 1% significance level, is Age significant in explaining Happiness?

No, since we do not reject the null hypothesis.
Yes, since we do not reject the null hypothesis.
No, since we reject the null hypothesis.
Yes, since we reject the null hypothesis.
        
Show more…
A sociologist wishes to study the relationship between happiness and age. He interviews 24 individuals and collects data on age and happiness, measured on a scale from 0 to 100.

Estimate: Happiness = ?0 + ?1 Age + ?. (Round your answers to 2 decimal places.)

Happiness = [    ] + [    ] Age.

b-1. Choose the hypotheses to determine if age has an impact on happiness.

H0: ?1 = 0; HA: ?1 ? 0
H0: ?1 < 0; HA: ?1 > 0
H0: ?1 > 0; HA: ?1 < 0

b-2. Calculate the value of the test statistic. (Round answer to 2 decimal places.)

Test statistic: [    ]

b-3. Find the p-value:

? p-value < 0.01
? 0.01 ? p-value < 0.025
? 0.025 ? p-value < 0.05
? 0.05 ? p-value < 0.10
? p-value ? 0.10

c. At the 1% significance level, is Age significant in explaining Happiness?

No, since we do not reject the null hypothesis.
Yes, since we do not reject the null hypothesis.
No, since we reject the null hypothesis.
Yes, since we reject the null hypothesis.

Added by Michael C.

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Elementary Statistics a Step by Step Approach
Elementary Statistics a Step by Step Approach
Allan G. Bluman 9th Edition
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A sociologist wishes to study the relationship between happiness and age. He interviews 24 individuals and collects data on age and happiness, measured on a scale from 0 to 100. Estimate: Happiness = β0 + β1 Age + ε. (Round your answers to 2 decimal places.) Happiness = [ ] + [ ] Age. b-1. Choose the hypotheses to determine if age has an impact on happiness. H0: β1 = 0; HA: β1 ≠ 0 H0: β1 < 0; HA: β1 > 0 H0: β1 > 0; HA: β1 < 0 b-2. Calculate the value of the test statistic. (Round answer to 2 decimal places.) Test statistic: [ ] b-3. Find the p-value: ○ p-value < 0.01 ○ 0.01 ≤ p-value < 0.025 ○ 0.025 ≤ p-value < 0.05 ○ 0.05 ≤ p-value < 0.10 ○ p-value ≥ 0.10 c. At the 1% significance level, is Age significant in explaining Happiness? No, since we do not reject the null hypothesis. Yes, since we do not reject the null hypothesis. No, since we reject the null hypothesis. Yes, since we reject the null hypothesis.
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00:01 Let's solve the given questions.
00:02 According to the question, the analysis of where is source, that is, regression, age, error, lack of it, pure error, then we are having total...
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