4. A scale measuring trust inthe media was administered to a random sample of 114 Democrats and 112 Republicans. The researcher finds that Democrats average a score of 8.5 on this scale, while Republicans average a score of 7.8. Together the Democrats and Republicans have a pooled standard error of .32. Is there a statistically significant difference between Democrats and Republicans in their level of trust in the media (at the alpha

This question is incomplete, the complete question is;

4. A scale measuring trust inthe media was administered to a random sample of 114 Democrats and 112 Republicans. The researcher finds that Democrats average a score of 8.5 on this scale, while Republicans average a score of 7.8. Together the Democrats and Republicans have a pooled standard error of .32. Is there a statistically significant difference between Democrats and Republicans in their level of trust in the media (at the alpha = .05 level )

p-value 0.0297

Hence, p value ( 0.0297 ) is LESS THAN ∝ ( 0.05 )

Therefore, this is sufficient evidence to conclude that there is difference between Democrats and Republicans in their level of trust in the media.

Step-by-step explanation:

Given the data in the question;

H₀ : u₁ = u₂

Hₐ : u₁ ≠ u²

test statistics

t = x - u / s

we substitute

t = ( 8.5 - 7.8 ) / 0.32

t = 0.7 / 0.32

t = 2.1875

∝ = 0.05

degree of freedom = n₁ + n₂ - 2 = 114 + 112 - 2 = 224

so

{t, } =  {t, } = 1971

p-value = 0.02974

p-value 0.0297

Hence, p value ( 0.0297 ) is LESS THAN ∝ ( 0.05 )

Therefore, this is sufficient evidence to conclude that there is difference between Democrats and Republicans in their level of trust in the media.

1) is right

step-by-step explanation: