Hypothesis Testing Problems
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1. Consider the hypothesis test given by
ho: m=50
h1: m=>50.
in a random sample of 100 subjects, the sample mean is found to be xbar = 53.4. also the population standard deviation is sigma= 8
Determine the p-value for this test. is there sufficient evidence to justify the rejection of ho? explain.
2) We perform the following hypothesis test of proportion of successes in a population.
Ho: p= 0.7 vs. H1: p< 0.7.
in a sample of 100 items, we discover 63 successes.
what is the conclusion at the a= 0.05 level? explain your answer
3) Given in a sample size of 18, with sample mean 660.3 standard deviation 95.9, we perform the following hypothesis test.
Ho:m=700
H1:m is not equal to =700
what is the conclusion of the test at the a= 0.05 level? explain your answer.
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