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%.

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okpalawalter8 okpalawalter8 · Answer 1 · 2020-08-30T04:24:47+02:00

Answer:

The correct option is B

Step-by-step explanation:

From the question we are told that

The null hypothesis is [tex]H_o : p = 0.10[/tex]

The alternative hypothesis is [tex]H_a : p > 0.10[/tex]

The p-value is [tex]p-value = 0.09[/tex]

The level of significance is [tex]\alpha = 0.025[/tex]

From the given values [tex]p-value > \alpha[/tex] 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%.