Question

A student group believes that less than 50% of students find their college experience extremely rewarding. They decide to test this hypothesis using a significance level of .05. They conduct a random sample of 100 students and 34 say they find their college experience extremely rewarding.

Based on the type of test this is (right, left, or two-tailed); determine the following for this problem.

4. Critical Value(s): _______________________

5. P-value Table A.3 _______________________ P-value Calculator:________________

P-value Table A.2 _______________

6: Can you reject? _______________________

7. Conclusion: Can we conclude or can we not conclude less than 50% of students find their college experience extremely rewarding? (write the conclusion in a sentence)

Answer 1

given data are:-

x = number of students who find their college experience extremely rewarding

n = sample size = 100

level of significance () = 0.05

hypothesis:-

test statistic be:-

p value be:-

p value = 0.0007 ( from z table, for z = -3.20, left tailed test)

p value = 0.0007 ( using calculator)

[ i am using ti 84 plus calculator.

steps:-

2ND vars select normalcdf in upper type -1000, in lower -3.20, in type 0 , in type 1 enter enter

you will get 0.0006872

so p value 0.0007 ]

decision:-

p value = 0.0007 <0.05

so, we reject the null hypothesis.

conclusion:-

we conclude that,

there is enough evidence to say that less than 50% of students find their college experience extremely rewarding at 0.05 level of significance.

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