You want to see if a card dealer is favoring one suit over another. You observe the dealer pick a card, put it back in the deck, shuffle, and then repeat the process 300 times. The results are displayed in the table below. Use an a = 0.05 significance level. a. Complete the rest of the table by filling in the expected frequencies: Frequencies of Suits Dealt Outcome Frequency Expected Frequency Spades 88 Hearts 66 Diamonds 81 Clubs 65 b. What is the correct statistical test to use? Select an answer v c. What are the null and alternative hypotheses? Họ: O The distribution of suits is not uniform. O The suits and cards are independent. O The suits and cards are dependent. O The distribution of suits is uniform. H : O The distribution of suits is not uniform. O The suits and cards are dependent. O The suits and cards are independent. O The distribution of suits is uniform.
You want to see if a card dealer is favoring one suit over another. You observe the dealer pick a card, put it back in the deck, shuffle, and then repeat the process 300 times. The results are displayed in the table below. Use an a = 0.05 significance level. a. Complete the rest of the table by filling in the expected frequencies: Frequencies of Suits Dealt Outcome Frequency Expected Frequency Spades 88 Hearts 66 Diamonds 81 Clubs 65 b. What is the correct statistical test to use? Select an answer v c. What are the null and alternative hypotheses? Họ: O The distribution of suits is not uniform. O The suits and cards are independent. O The suits and cards are dependent. O The distribution of suits is uniform. H : O The distribution of suits is not uniform. O The suits and cards are dependent. O The suits and cards are independent. O The distribution of suits is uniform.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![The text describes a statistical analysis to determine if a card dealer favors one suit over another when dealing cards. The process involves drawing a card, replacing it, and repeating 300 times. Results are shown in a table, using a significance level of α = 0.05.
### Table: Frequencies of Suits Dealt
| Outcome | Frequency | Expected Frequency |
|---------|-----------|--------------------|
| Spades | 88 | |
| Hearts | 66 | |
| Diamonds| 81 | |
| Clubs | 65 | |
### Questions and Components:
a. **Complete the Table:** Fill in the expected frequencies based on a uniform distribution.
b. **Statistical Test:** Select the correct test, likely a chi-square test.
c. **Hypotheses:**
- **Null Hypothesis (H₀):** Options include the distribution is uniform or suits are independent.
- **Alternative Hypothesis (H₁):** Options include the distribution is not uniform or suits are dependent.
d. **Degrees of Freedom:** Calculate based on the number of categories.
e. **Test-Statistic:** Calculate and provide to three decimal places.
f. **P-value:** Calculate and provide to four decimal places.
g. **Comparison:** Determine if the p-value is less than α.
h. **Decision Rule:** Select the appropriate action based on p-value.
i. **Conclusion:** Decide if there is sufficient evidence for uniformity or dependency of suits.
This exercise requires calculation of expected frequencies and uses statistical testing to draw conclusions about card dealing practices.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4726056b-a0d8-4167-a534-8f03670a441a%2Fb0ca67cf-6e6d-4869-87d1-f3a7de5de85b%2Fkd9r5im_processed.png&w=3840&q=75)
Transcribed Image Text:The text describes a statistical analysis to determine if a card dealer favors one suit over another when dealing cards. The process involves drawing a card, replacing it, and repeating 300 times. Results are shown in a table, using a significance level of α = 0.05.
### Table: Frequencies of Suits Dealt
| Outcome | Frequency | Expected Frequency |
|---------|-----------|--------------------|
| Spades | 88 | |
| Hearts | 66 | |
| Diamonds| 81 | |
| Clubs | 65 | |
### Questions and Components:
a. **Complete the Table:** Fill in the expected frequencies based on a uniform distribution.
b. **Statistical Test:** Select the correct test, likely a chi-square test.
c. **Hypotheses:**
- **Null Hypothesis (H₀):** Options include the distribution is uniform or suits are independent.
- **Alternative Hypothesis (H₁):** Options include the distribution is not uniform or suits are dependent.
d. **Degrees of Freedom:** Calculate based on the number of categories.
e. **Test-Statistic:** Calculate and provide to three decimal places.
f. **P-value:** Calculate and provide to four decimal places.
g. **Comparison:** Determine if the p-value is less than α.
h. **Decision Rule:** Select the appropriate action based on p-value.
i. **Conclusion:** Decide if there is sufficient evidence for uniformity or dependency of suits.
This exercise requires calculation of expected frequencies and uses statistical testing to draw conclusions about card dealing practices.
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