I need help with part a **Title: Testing for Favoritism in Suit Dealing by a Card Dealer****Objective:**Determine if a card dealer is favoring one suit over another by analyzing the frequency of suits dealt. The process involves picking a card, putting it back in the deck, shuffling, and repeating the process 216 times. The results will be evaluated using a significance level of α = 0.10.**Instructions:**a. **Complete the Rest of the Table by Filling in the Expected Frequencies:****Frequencies of Suits Dealt**| Outcome | Frequency | Expected Frequency ||---------|-----------|--------------------|| Spades | 52 | [Expected Frequency for Spades] || Hearts | 73 | [Expected Frequency for Hearts] || Diamonds| 45 | [Expected Frequency for Diamonds] || Clubs | 46 | [Expected Frequency for Clubs] |**Calculator Button:** There is a button labeled "Calculator" available for calculations.**Scratchwork Area:**There is a designated area labeled “Scratchwork Area” for performing rough calculations or notes.b. **What is the Correct Statistical Test to Use?**There is an interactive drop-down menu for selecting the appropriate statistical test.**Options:**- Chi-Square Goodness-of-Fit Test (selected)- Other test options as might relate to the content (not specified in the image)c. **What are the Null and Alternative Hypotheses?**Formulate the null and alternative hypotheses for the test.**Null Hypothesis ($H_0$):**- The suits and cards are dependent.- The suits and cards are independent.- The distribution of suits is not uniform.- The distribution of suits is uniform. (selected)**Analysis:**- **Expected Frequency Calculation:** The expected frequency for each suit is calculated based on the assumption that all suits are equally likely to be dealt. This expected frequency can be determined by dividing the total number of dealt cards (216) by the number of suits (4). \[ \text{Expected Frequency} = \frac{216}{4} = 54 \]- **Chi-Square Calculation:** The Chi-Square test statistic can be calculated using the formula: \[ \chi^2 = \sum \frac{(O_i - E_i)^2}{E_i} \] where \(

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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 216 times. The results are displayed in the table below. Use an a = 0.10 significance level. a. Complete the rest of the table by filling in the expected frequencies: Frequencies of Suits Dealt Outcome Frequency Expected Frequency Spades 52 Hearts 73 Diamonds 45 Clubs 46

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 216 times. The results are displayed in the table below. Use an a = 0.10 significance level. a. Complete the rest of the table by filling in the expected frequencies: Frequencies of Suits Dealt Outcome Frequency Expected Frequency Spades 52 Hearts 73 Diamonds 45 Clubs 46

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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Question

I need help with part a

**Title: Testing for Favoritism in Suit Dealing by a Card Dealer**

**Objective:**

Determine if a card dealer is favoring one suit over another by analyzing the frequency of suits dealt. The process involves picking a card, putting it back in the deck, shuffling, and repeating the process 216 times. The results will be evaluated using a significance level of α = 0.10.

**Instructions:**

a. **Complete the Rest of the Table by Filling in the Expected Frequencies:**

**Frequencies of Suits Dealt**

| Outcome | Frequency | Expected Frequency |
|---------|-----------|--------------------|
| Spades | 52 | [Expected Frequency for Spades] |
| Hearts | 73 | [Expected Frequency for Hearts] |
| Diamonds| 45 | [Expected Frequency for Diamonds] |
| Clubs | 46 | [Expected Frequency for Clubs] |

**Calculator Button:**

There is a button labeled "Calculator" available for calculations.

**Scratchwork Area:**

There is a designated area labeled “Scratchwork Area” for performing rough calculations or notes.

b. **What is the Correct Statistical Test to Use?**

There is an interactive drop-down menu for selecting the appropriate statistical test.

**Options:**
- Chi-Square Goodness-of-Fit Test (selected)
- Other test options as might relate to the content (not specified in the image)

c. **What are the Null and Alternative Hypotheses?**

Formulate the null and alternative hypotheses for the test.

**Null Hypothesis ($H_0$):**

- The suits and cards are dependent.
- The suits and cards are independent.
- The distribution of suits is not uniform.
- The distribution of suits is uniform. (selected)

**Analysis:**

- **Expected Frequency Calculation:** The expected frequency for each suit is calculated based on the assumption that all suits are equally likely to be dealt. This expected frequency can be determined by dividing the total number of dealt cards (216) by the number of suits (4).
\[
\text{Expected Frequency} = \frac{216}{4} = 54
\]

- **Chi-Square Calculation:** The Chi-Square test statistic can be calculated using the formula:
\[
\chi^2 = \sum \frac{(O_i - E_i)^2}{E_i}
\]
where \(

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