Question

Hypothesis Test. Students in a statistics class were asked, "With whom do you find it easier to make friends?" The options were "Same Sex," Opposite Sex," and "No Difference." Do females find it easier to make friends with the opposite sex than males do? Test at the 05 level. Of 68 recently surveyed males, 15 answered "Opposite Sex Of 137 females, 58 answered Opposite Sex." Question: What is the correct statistical procedure? 1-proportion z test 1-proportion z-interval 2.proportion z test 2.proportion z-interval o None of these Question 10 (1 point) Hypothesis Test. Students in a statistics class were asked, "With whom do you find it easier to make friends?" The options were 'Same Sex." "Opposite Sex," and "No Difference." Do females find it easier to make friends with the opposite sex than males do? Test at the 05 level. Of 68 recently surveyed males, 15 answered "Opposite Sex. Of 137 females, 58 answered Opposite Sex." Question: Given a p-value of p=0.0027 what is the best research conclusion below? There is no evidence of a difference in friend-making patterns based upon biological sex There is a little evidence for a difference in friend-making patterns based upon biological sex. There is some evidence for a difference in friend-making patterns based upon biological sex There is strong evidence for a difference in friend-making patterns based upon biological sex

Answer 1

Ans 1.

x₁ = 15, n₁ = 68, x₂ = 58, n₂ = 137

p₁ = x₁/ n₁ , p₂ = x₁ / n₂

Hypothesis:-

Test the difference of proportions at 5% level of significance.

Hence, it is 2-proportion Z-test.

Ans 2.

Hypothesis:-

H_{​​​​​​0} ​​​​​​: p₁ - p₂ = 0

H₁ : p₁ - p_{2 $\small \neq$} 0

p-value = 0.0027

α = 0.05

Since, p-value = 0.0027 < α = 0.05

Hence, we reject H_{​​​​​​0}​​​​​.

• There is strong evidence for difference in friend making patterns based upon biological sex.