Question

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%.

Answer 1

Answer:

The  correct option is  B

Step-by-step explanation:

From the question we are told that

  The null hypothesis is  $H_o : p = 0.10$

   The alternative hypothesis is  $H_a : p > 0.10$

   The  p-value  is  $p-value = 0.09$

   The  level of  significance is  $\alpha = 0.025$

   

From the given values $p-value > \alpha$ so we fail to reject the null hypothesis

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