26 580 students from UC Berkeley are surveyed about whether they are from Northern California, Southern California, Central California, or from another state or country. A researcher is interested in seeing if the proportion of students from each of the four regions are all the same for all UC Berkeley students. The table below shows the outcome of the survey. Fill in the expected frequencies. Frequencies of UCB Students' Home Towns Outcome Frequency Expected Frequency Northern California 201 Southern 87 California Central California 142 Out of 150 State27 Suppose a random sample of 1407 Californians who own their own homes were surveyed. The table below shows the results of the survey Observed Frequencies of Political Affiliation from the Sample Outcome Observed Frequency Democrat 675 Republican 422 Independent/Other 310 The second column of the table below shows the distribution of political affiliation for the entire population of California voters. Fill in the expected frequencies. Round to two decimal places, if necessary. Frequencies of Political Affiliation Outcome Expected Percent Expected Frequency Democrat 46 Republican 32 Independent/Other 22You 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 324 times. The results are displayed in the table below. Use an o = 0.05 significance level. a. Complete the rest of the table by filling in the expected frequencies: 28. Frequencies of Suits Dealt Outcome Frequency| Expected Frequency Spades 94 Hearts 78 Diamonds 75 Clubs 77 b. What is the correct statistical test to use? Select an answer v] c. What are the null and alternative hypotheses? Ho: The distribution of suits is not uniform. The suits and cards are dependent. The distribution of suits is uniform. The suits and cards are independent. H1 : The distribution of suits is not uniform. The suits and cards are dependent. The suits and cards are independent. O The distribution of suits is uniform. d. The degrees of freedom = e. The test-statistic for this data = (Please show your answer to three decimal places.) f. The p-value for this sample = (Please show your answer to four decimal places.) g. The p-value is Select an answer va h. Based on this, we should Select an answer i. Thus, the final conclusion is... There is sufficient evidence to conclude that the distribution of suits is uniform. There is insufficient evidence to conclude that suits and cards are dependent. O There is sufficient evidence to conclude that the distribution of suits is not uniform. O There is insufficient evidence to conclude that the distribution of suits is not uniform. There is sufficient evidence to conclude that suits and cards are dependent.29 . A report just came out that stated that 23.6% of all Americans say that vanilla is their favorite ice cream, 20.4%% say that chocolate is their favorite, 9.7% favor butter pecan, 8.8% favor strawberry, and the rest have other favorites. An ice cream shop owner thinks that her customers are not like the rest of America. The table below shows the results of 970 of her patrons' ice cream selections. What can be co the or = 0.01 significance level? a. Complete the table by filling in the expected frequencies. Round your answers to the nearest whole number. Frequencies of Favorite Ice Cream Outcome Frequency Expected Frequency Vanilla 247 Chocolate 178 Butter Pecan 101 Strawberry 71 Other 373 b. What is the correct statistical test to use Select an answer v . What are the null and alternative hypotheses? Ho: Favorite ice cream and where the ice cream is purchased are independent. O Favorite ice cream and where the ice cream is purchased are dependent. The distribution of favorite ice cream for customers at her shop is the same as it is for Americans in general. The distribution of favorite ice cream for customers at her shop is not the same as it is for Americans in general. H1: The distribution of favorite ice cream for customers at her shop is the same as it is for Americans in general. O Favorite ice cream and where the ice cream is purchased are dependent. The distribution of favorite ice cream for customers at her shop is not the same as it is for Americans in general. Favorite ice cream and where the ice cream is purchased are independent. 1. The degrees of freedom e. The test-statistic for this data (Please show your answer to three decimal places.) f. The p-value for this sample (Please show your answer to four decimal places.) . The p-value is Select an answer a h. Based on this, we should |Select an answer i. Thus, the final conclusion is... There is insufficient evidence to conclude that the distribution of favorite ice cream for customers at her shop is not the same as it is for Americans in general. There is sufficient evidence to conclude that the distribution of favorite ice cream for customers at her shop is the same as it is for Americans in general. There is sufficient evidence to conclude that favorite ice cream and where the ice cream is purchased are dependent. There is sufficient evidence to conclude that the distribution of favorite ice cream for customers at her shop is not the same as it is for Americans in general. There is insufficient evidence to conclude that favorite ice cream and where the ice cream is purchased are dependent.30 Is there a difference in the car brand's countries for Midwesterners and people from the west coast? of the 172 randomly selected Midwesterners surveyed 51 had an American car, 101 had a car from Asia, and 20 had a cars from another country. Of the 167 randomly selected people from the west coast who were surveyed, 48 had an American car, 83 had a car from Asia, and 36 had a car from outside of the US and Asia. Conduct the appropriate hypothesis test using an o = 0.05 level of significance. a. What is the correct statistical test to use? O Independence O Paired t-test O Homogeneity O Goodness-of-Fit b. What are the null and alternative hypotheses? Ho: O Address and car brand's countries are dependent. O Address and car brand are independent. O The distribution of car brand's countries is not the same for Midwesterners and people from the west coast. The distribution of car brand's countries is the same for Midwesterners and people from the west coast. O Address and car brand's countries are independent. The distribution of car brand's countries is not the same for Midwesterners and people from west coast. The distribution of car brand's countries is the same for Midwesterners and people from the west coast. O Address and car brand's countries are dependent. C. The test-statistic for this data = (Please show your answer to three decimal places.) d. The p-value for this sample = ( Please show your answer to four decimal places.) e. The p-value is | Select an answer | a . Based on this, we should O accept the null O reject the null O fail to reject the null 3. Thus, the final conclusion is... There is sufficient evidence to conclude that the distribution of car brand's countries is the same for Midwesterners and people from the west coast. There is sufficient evidence to conclude that the distribution of car brand's countries is not the same for Midwesterners and people from the west coast. There is insufficient evidence to conclude that address and car brand's countries are independent. There is insufficient evidence to conclude that the distribution of car brand's countries is not the same for Midwesterners and people from the west coast. There is sufficient evidence to conclude that address and car brand's countries are dependent.Do men and women select different breakfasts? The breakfasts ordered by randomly selected men and women at a popular breakfast place are shown below. Frequencies of Breakfasts for Men and Women French Toast Pancakes Waffles Omelets Men 86 56 78 Women What can be concluded at the o = 0.05 significance level? a. What is the correct statistical test to use? Paired t-test O Homogeneity Goodness-of-Fit O Independence b. What are the null and alternative hypotheses? Ho: The distribution of breakfast ordered for men is not the same as it is for women. Breakfast ordered and gender are dependent. Breakfast ordered and gender are independent. The distribution of breakfast ordered for men is the same as it is for women. H1: The distribution of breakfast ordered for men is not the same as it is for women. O Breakfast ordered and gender are dependent. The distribution of breakfast ordered for men is the same as it is for women. O Breakfast ordered and gender are independent. c. The test-statistic for this data = (Please show your answer to three decimal places.) d. The p-value for this sample = (Please show your answer to four decimal places.) e. The p-value is Select an answer . Based on this, we should O reject the null accept the null O fail to reject the null g. Thus, the final conclusion is... There is insufficient evidence to conclude that the distribution of breakfast ordered for men is not the same as it is for women. There is sufficient evidence to conclude that the distribution of breakfast ordered for men is not the same as it is for women There is sufficient evidence to conclude that the distribution of breakfast ordered for men is the same as it is for women. There is sufficient evidence to conclude that breakfast ordered and gender are dependent. There is insufficient evide at breakfast or re dependent. I nere is SUTTICient evidence to conclude that address and car brands countries are dependent.You are interested in investigating whether gender and major are associated at your college. The table below shows the results of a survey. Frequencies of Majors and Gender Math/Science Arts/Humanities Business/Econ. Other Men 70 93 98 Women 79 128 90 What can be concluded at the c = 0.01 significance level? . What is the correct statistical test to use? O Homogeneity Paired t-tes O Independence Goodness-of-Fit . What are the null and alternative hypotheses? Ho: The distribution of college major is the same for each gender. O College major and gender are independent. O College major and gender are dependent The distribution of college major is not the same for each gender. H1: The distribution of college major is the same for each gender. O College major and gender are independent. College major and gender are dependent. O The distribution of college major is not the same for each gender. c. The test-statistic for this data = (Please show your answer to three decimal places.) d. The p-value for this sample (Please show your answer to four decimal places.) e. The p-value is Select an answer . Based on this, we should accept the null reject the null O fail to reject the null g. Thus, the final conclusion is.. There is sufficient evidence to conclude that the distribution of college major is not the same for each gender. There is insufficient evidence to conclude that college major and gender are dependent. There is insufficient evidence lude that the distribution of college major is not the same for each gender. There is sufficient evidence to conclude that college major and gender are independent. There is sufficient evidence to conclude that college major and gender are dependent.33