Using the information regarding the proportion of work time linguists study a new language, choose the correct conclusion for this hypothesis test. H0:p=0.10 ; Ha:p>0.10 The p-value for this hypothesis test is 0.09. The level of significance is α=0.025 Select the correct answer below: A) There is sufficient evidence to conclude the proportion of work time linguists study a new language is more than 10%. B) There is NOT sufficient evidence to conclude the proportion of work time linguists study a new language is more than 10%.
C) There is sufficient evidence to conclude the proportion of work time linguists study a new language is more than 90%.
D) There is NOT sufficient evidence to conclude the proportion of work time linguists study a new language is more than 90%.

B) There is NOT sufficient evidence to conclude the proportion of work time linguists study a new language is more than 10%.

Step-by-step explanation:

Given that:

the null hypothesis is;

the alternative hypothesis is:

The p - value for the hypothesis is 0.09

The level of significance ∝ = 0.025

The Decision rule is that to reject the null hypothesis if the p-value is less than the level of significance ∝.

Conclusion: We fail to reject the null hypothesis because the p-value is  greater than the level of significance , therefore:

There is NOT sufficient evidence to conclude the proportion of work time linguists study a new language is more than 10%.

8(-10x+3.5y-7)

8×-10x + 8×3.5y + 8×-7

-80x + 28y - 56

therefore

-80x+28y-56 is the correct answer

first anwser choice.

step-by-step explanation:

the greater/less or equal to symbol (> or < with the line at the bottom) is a closed/filled in circle.

-5c + 2 _< _27

subtract from both sides by 2

-5c _< _ 27

divide both sides by -5

c _< _ 5.4

flip the inequality sign

c _> _5.4

the only possible answer that would match the simplified inequality is the first answer choice