3. (20%) Assume X1, X2, , X10 iid Bernoulli(p), if $H0 : p = 0.3$ vs. H_1 : p = 0.6. Let Y = Σi=1^10 xi and rejection region C = \Y ≥ 8\. Please calculate: (a) probability of Type I error.

4. (30%) This was a survey about the revisit intention of a shopping website in Jan. 2021. We knew that visitors aged 21 to 30 were 3000 persons, aged 31 to 40 were 1500 persons and aged 41 to 50 were 500 persons. Therefore, this survey randomly sampled 300 persons from visitors aged 21 to 30, 150 persons from visitors aged 31 to 40, 50 persons from visitors aged 41 to 50 respectively. | Intention | Age | | | | | --- | --- | --- | --- | --- | | | 21~30 | 31~40 | 41~50 | Sum | | Very high | 50 | 40 | 30 | 120 | | High | 160 | 75 | 15 | 250 | | Neutral | 60 | 10 | 2 | 72 | | Low | 10 | 5 | 1 | 16 | | Very Low | 20 | 20 | 2 | 42 | | Sum | 300 | 150 | 50 | 500 | (a) Calculate the probability for visitors with high and very high revisit intention.

3. (20%) Assume $X1, X2, \dots, X{10}$ iid Bernoulli(p), if $H0 : p = 0.3$ vs. $H_1 : p = 0.6$.

Let $Y = \sum{i=1}^{10} xi$ and rejection region $C = \{Y \geq 8\}$. Please calculate:

(a) probability of Type I error.

相關申論題

相關試卷

3. (20%) Assume $X1, X2, \dots, X{10}$ iid Bernoulli(p), if $H0 : p = 0.3$ vs. $H_1 : p = 0.6$. Let $Y = \sum{i=1}^{10} xi$ and rejection region $C = \{Y \geq 8\}$. Please calculate: (a) probability of Type I error.

相關申論題

相關試卷

3. (20%) Assume $X1, X2, \dots, X{10}$ iid Bernoulli(p), if $H0 : p = 0.3$ vs. $H_1 : p = 0.6$.

Let $Y = \sum{i=1}^{10} xi$ and rejection region $C = \{Y \geq 8\}$. Please calculate:

(a) probability of Type I error.