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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
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.
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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