1. Is there statistically significant evidence for the alternative hypothesis? E
ID: 3317634 • Letter: 1
Question
1. Is there statistically significant evidence for the alternative hypothesis? Explain.
2. Suppose you somehow find out that the actual mean height for the entire database population is 160 cm. Looking back at your test from question 1, was the result of your test a correct decision, a Type I error, or a Type II error. Explain ( for example , did you reject a true null, fail to reject a false null, reject a false null, or fail to reject a true null).
3. Suppose you somehow find out that the actual mean height for the entire database population is 155 cm. Looking back at your test from question 1, was the result of your test a correct decision, a Type I error, or a Type II error. Explain.
4. Using a significance level of 0.5, is there statistically significant evidence for the alternative hypothesis?
5. Suppose you somehow find out that the actual proportion for the entire database population is 50%. Looking back at your test from question 4, was the result of your test a correct decision, a Type I error, or a Type II error. Explain.
6. Suppose you somehow find out that the actual proportion for the entire database population is 48 %. Looking back at your test from question 4, was the result of your test a correct decision, a Type I error, or a Type II error. Explain.
Null hypothesis: Population mean = 155 Alternative hypothesis: Population mean > 155 n: 50 ample Mean: Standard Error: 2.064 df: t statistic: P-value: 49 2.839 0.003287Explanation / Answer
1:
The p-value is less than 0.05 so we reject the null hypothesis.
There is statistically significant evidence for the alternative hypothesis.
2:
The null hypothesis is actully false and we reject it in part (1) so it is a correct decision.
3:
The null hypothesis is actully true and we reject it in part (1) so we made s type I error.
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