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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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