3. Answer #18 on page 144 of your coursepack. 13. A student leader believes that

Question

3. Answer #18 on page 144 of your coursepack. 13. A student leader believes that 60% of the students oppose a development at Asylum Lake. To check this claim, a survey of 200 students is carried out, and it was found that 100 students in the sample opposed Asylum Lake development. Is there enough evidence to reject the student leaders belief? Include your hypotheses, test statistic, p-value and conclusion. For all tests, include - the hypothesis (unless it's given in the problem) - the test statistic -p-value - decision - conclusion

Explanation / Answer

Using Mintab :

Test and CI for One Proportion

Test of Null hypothesis p = 0.6 vs Alternative p not = 0.6

Sample X N Sample p 95% CI Z-Value P-Value
1 100 200 0.500000 (0.430705, 0.569295) -2.89 0.004

Test statistic-z=-2.89

P-value =0.004

P-value < 0.05 We reject the null hypothesis so we conclude that 60% student oppose a develoment at asylumn lake.

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