i ui complete) CU Complete) v A truel false test has 50 questions, Suppose a pas

Question

i ui complete) CU Complete) v A truel false test has 50 questions, Suppose a passing is Question Hep not just guessing Assume the grade is 35 or more correct answers. Test the claim that a student knows more than half of the answers and is below. student gets 35 answers correct out of 50, Use a significance level of 0.05. Steps 1 and 2 of a hypothesis test procedure are given Show step 3, finding the test statistic and the p value and step interpreting the results. Step 1: Ho p 0.50 Ha p 0.50 Step 2 choose the one proportion ztest sample size is large enough, because is 500 5) 25 and n(1- po) s 50(5) 25, and both are more than 10 Assume the sample is random. npo Step 3: Compute the z-test statistic, and the p-value z (Round to two decimal places as needed) p-value (Round to three decimal places as needed) Step 4: Do you reject or not reject the null hypothesis? What does this mean in the context of the data? O A. Reject Ho. The probability of doing this well by chance alone is so small that it can be concluded that the student is not guessing Click to select your answer(s)

Explanation / Answer

Sol:

Null hypothesis

H0:p=0.5

Alternative hypothesis

Ha:p>0.5

z=p^-p/sqrt(p(1-p)/n)

p^=x/n=35/50=0.7

z=0.7-0.5/sqrt(0.7(1-0.7)/50)

z=2.83

p value=0.002

step4:

AnswerA

Statistical decsion:

p<0.05

Reject null hypothesis

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