Question
1.4.7) Suppose you are testing the hypotheses H0: = 0.50 versus Ha: > 0.50. You get a sample proportion of 0.68 and find that your
1.4.7) Suppose you are testing the hypotheses H0: = 0.50 versus Ha: > 0.50. You get a sample proportion of 0.68 and find that your p-value is 0.02. Now suppose you redid your study with each of the following changes, will your new p-value be larger, smaller, or stay the same as the 0.02 you first obtained? Be sure to explain your reasoning.
a. Keeping the sample size the same, you take a new sample and find a sample proportion of 0.66.
b. You increase the sample size and still find a sample proportion of 0.68.
c. You decide to use a two-sided alternative hypothesis (Ha: 0.50).
1.4.8) Suppose you are testing the hypotheses H0: = 0.50 versus Ha: > 0.50. You get a sample proportion of 0.68 and find that your standardized statistic is 2.53. Now suppose you redid your study with each of the following changes: will your new standardized statistic be larger, smaller, or stay the same as the 2.53 you first obtained? Explain your reasoning.
a. Keeping the sample size the same, you take a new sample and find a sample proportion of 0.66.
b. You increase the sample size and still find a sample proportion of 0.68.
c. You decide to use a two-sided alternative hypothesis (Ha: 0.50).
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