Help, please. In a study, people were observed for about 10 seconds in public places, such as malls and restaurants, to determine whether they smiled during the randomly chosen 10-second interval. The table shows the results for comparing males and females. Complete parts a through c below.**a. Find and compare the sample percentages of men who were smiling and women who were smiling.**The percentage of men who were smiling in the sample was ____%. (Round to two decimal places as needed.)The percentage of women who were smiling in the sample was ____%. (Round to two decimal places as needed.)Compare the sample percentages.The percentage of people who were smiling was greater for the \[ \text{dropdown: } \]- women.- men.**b. Treat this as though it were a random sample, and test whether there is a difference in the proportion of men and the proportion of women who smile. Use a significance level of 0.01.**Determine the hypotheses for this test. Let $ p_1 $ represent the population proportion of men who smile, and let $ p_2 $ represent the population proportion of women who smile. Choose the correct answer below.- A. $ H_0: p_1 + p_2 $ $ H_1: p_1 \neq p_2 $ - B. $ H_0: p_1 = p_2 $ $ H_1: p_1 > p_2 $ - C. $ H_0: p_1 = p_2 $ $ H_1: p_1 \neq p_2 $- D. $ H_0: p_1 < p_2 $ $ H_1: p_1 > p_2 $- E. $ H_0: p_1 > p_2 $ $ H_1: p_1 = p_2 $- F. $ H_0: p_1 = p_2 $ $ H_1: p_1 < p_2 $Find the test statistic for this test.$ z = $ ____ (Round to two decimal places as needed.)Find the p-value for this test.p-value = ____ (Round to three decimal places as needed.)What is the conclusion for this test? Use In a study, people were observed for about 10 seconds in public places, such as malls and restaurants, to determine whether they smiled during the randomly chosen 10-second interval. The table shows the results for comparing males and females. Complete parts a through c below.a. **Find and compare the sample percentages of men who were smiling and women who were smiling.**- Calculate the percentage of men who were smiling in the sample.- Calculate the percentage of women who were smiling in the sample.- Compare the percentages to determine which gender had a higher percentage of people smiling.b. **Test the hypothesis using a random sample to see if there's a difference in the proportion of men and women who smile. Use a significance level of 0.01.**- Determine the null hypothesis (H₀) and the alternative hypothesis (H₁). Choose the correct option: - A) H₀: p₁ ≠ p₂, H₁: p₁ = p₂ - B) H₀: p₁ = p₂, H₁: p₁ > p₂ - C) H₀: p₁ = p₂, H₁: p₁ ≠ p₂ - E) H₀: p₁ > p₂, H₁: p₁ = p₂ - F) H₀: p₁ ≠ p₂, H₁: p₁ < p₂- Compute the test statistic (z) for this test.- Find the p-value corresponding to this test statistic.- Draw a conclusion based on the p-value and significance level. Options: - A) Reject H₀: No significant difference in smiling rates. - B) Do not reject H₀: Significant difference in smiling rates. - C) Do not reject H₀: No significant difference in smiling rates. - D) Reject H₀: Significant difference in smiling rates.c. **Explain the size of the p-value compared to the difference in the sample percentages.**Choose the correct answer that describes how the p-value relates to the observed differences in sample proportions.

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Help, please.

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

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Chapter1: Starting With Matlab

Section: Chapter Questions

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Help, please.

In a study, people were observed for about 10 seconds in public places, such as malls and restaurants, to determine whether they smiled during the randomly chosen 10-second interval. The table shows the results for comparing males and females. Complete parts a through c below.

**a. Find and compare the sample percentages of men who were smiling and women who were smiling.**

The percentage of men who were smiling in the sample was ____%.
(Round to two decimal places as needed.)

The percentage of women who were smiling in the sample was ____%.
(Round to two decimal places as needed.)

Compare the sample percentages.

The percentage of people who were smiling was greater for the \[ \text{dropdown: } \]

- women.
- men.

**b. Treat this as though it were a random sample, and test whether there is a difference in the proportion of men and the proportion of women who smile. Use a significance level of 0.01.**

Determine the hypotheses for this test. Let $ p_1 $ represent the population proportion of men who smile, and let $ p_2 $ represent the population proportion of women who smile. Choose the correct answer below.

- A. $ H_0: p_1 + p_2 $
$ H_1: p_1 \neq p_2 $

- B. $ H_0: p_1 = p_2 $
$ H_1: p_1 > p_2 $

- C. $ H_0: p_1 = p_2 $
$ H_1: p_1 \neq p_2 $

- D. $ H_0: p_1 < p_2 $
$ H_1: p_1 > p_2 $

- E. $ H_0: p_1 > p_2 $
$ H_1: p_1 = p_2 $

- F. $ H_0: p_1 = p_2 $
$ H_1: p_1 < p_2 $

Find the test statistic for this test.

$ z = $ ____
(Round to two decimal places as needed.)

Find the p-value for this test.

p-value = ____
(Round to three decimal places as needed.)

What is the conclusion for this test? Use

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