Suppose a random sample of 932 adults from your town are surveyed. The table below shows the results of the survey. Observed Frequencies Job Types the Sample Outcome Observed Frequency Blue Collar 205 White Collar |270 Pink Collar 392 Unemployed | 65 The job type distribution for the entire state are summarized in second column of the table below. Fill in the expected frequencies. Frequencies of Job Types in the State Outcome Expected Percent Expected Frequency Blue Collar 25 White Collar 33 Pink Collar 39 Unemployed 3A restaurant owner has given out 189 free coupons to special customers that will all be used. Of interest is whether the customers have any preferences on day of the week. Fill in the expected frequencies in the table below. Frequencies Per Day of the Week Customers Come to the Restaurant Outcome Frequency Expected Frequency Sunday 29 Monday 27 Tuesday 35 Wednesday 24 Thursday 33 Friday 22 Saturday 19736 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 164 California Southern 152 California Central 141 California Out of 279 StateIs there a baby season? Or does every season have the same number of babies born each year? The table below shows the number of babies, from 1076 that were looked at, that were born in each season. Complete the rest of the table by filling in the expected frequencies: Frequencies of Babies Born in Each Season Outcome Frequency Expected Frequency Winter 317 Spring 231 Summer 270 Fall 258You 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 236 times. The results are displayed in the table below. Use an o = 0.01 significance level. a. Complete the rest of the table by filling in the expected frequencies: Frequencies of Suits Dealt Outcome | Frequency | Expected Frequency Spades 38 Hearts 67 Diamonds 58 Clubs 73 b. What is the correct statistical test to use? Goodness-of-Fit v / V c. What are the null and alternative hypotheses? Ho: O The suits and cards are dependent. O The suits and cards are independent. O The distribution of suits is not uniform. The distribution of suits is uniform. The distribution of suits is not uniform. O The distribution of suits is uniform. O The suits and cards are independent. O The suits and cards are dependent. 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.)A die is rolled 120 times to see if it is fair. The table below shows the frequencies for each of the six possible outcomes. Use a level of significance of O = 0.10. . Complete the rest of the table by filling in the expected frequencies (enter your answers in fraction form): Frequency of Dice Values Outcome Frequency Expected Frequency 21 2 12 3 16 4 15 5 23 6 33 b. What is the correct statistical test to use? Goodness-of-Fit v V c. What are the null and alternative hypotheses? Ho: O The die rolls are dependent. O The distribution of die rolls is not uniform. O The die rolls are independent. O The distribution of die rolls is uniform. O The die rolls are dependent. The distribution of die rolls is not uniform. O The die rolls are independent. O The distribution of die rolls is uniform. d. The degrees of freedom = e. The test-statistic for this data = Please show your answer to three decimal places.) f The n-value for this sample = (Please show your answer to four decimal places )Are phone calls equally likely to occur any day of the week? The day of the week for each of 623 randomly selected phone calls was observed. 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: Frequencies of Phone Calls for Each Day of the Week Outcome Frequency | Expected Frequency Sunday 95 Monday 95 Tuesday 88 Wednesday 96 Thursday 57 Friday 90 Saturday 102 b. What is the correct statistical test to use? Independence v X c. What are the null and alternative hypotheses? Ho: The distribution of phone calls is uniform over the days of the week. O Phone calls and days of the week are dependent. O Phone calls and days of the week are independent. O The distribution of phone calls is not uniform over the days of the week. HE O The distribution of phone calls is uniform over the days of the week. The distribution of phone calls is not uniform over the days of the week. O Phone calls and days of the week are independent. O Phone calls and days of the week are dependent. d. The degrees of freedom = e. The test-statistic for this data = (Please show your answer to three decimal places.)A report just came out that stated that 21.67 Of all Americans say that vanilla is their lavonte Ice cream, 22.6% say that chocolate is their favorite, 8.8% favor butter pecan, 8.6% 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 770 of her patrons' ice cream selections. What can be concluded at the or = 0.10 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 161 Chocolate 183 Butter Pecan | 75 Strawberry 70 Other 281 b. What is the correct statistical test to use? Goodness-of-Fit V V c. What are the null and alternative hypotheses? Ho: O 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 independent. O The distribution of favorite ice cream for customers at her shop is not the same as it is for Americans in general. O Favorite ice cream and where the ice cream is purchased are dependent. O Favorite ice cream and where the ice cream is purchased are dependent. O Favorite ice cream and where the ice cream is purchased are independent. O 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. 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.)In the US, 44.3% of all people have type 0 blood, 40.6% have type A blood, 11.3% have type B blood and 3.8% have type AB blood. A researcher wants to see if the distribution of blood type is different for millionaires. The table below shows the results of a random sample of 3372 millionaires. What can be concluded at the Or = 0.01 significance level? a. Complete the table by filling in the expected frequencies. Round to the nearest whole number: Frequencies of Blood Type Outcome Frequency| Expected Frequency 1513 A 1389 B 382 AB 88 b. What is the correct statistical test to use? Goodness-of-Fit c. What are the null and alternative hypotheses? Ho: O The distribution of blood type for millionaires is the same as it is for Americans in general. O Blood type and income are independent. O Blood type and income are dependent. O The distribution of blood type for millionaires is not the same as it is for Americans in general. O The distribution of blood type for millionaires is the same as it is for Americans in general. O Blood type and income are dependent. O Blood type and income are independent. O The distribution of blood type for millionaires is not the same as it is for Americans in general. 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.)The data below show sport preference and age of participant from a random sample of members of a sports club. Is there evidence to suggest that they are related? Frequencies of Sport Preference and Age Tennis Swimming Basketball 18-25 95 95 82 26-30 108 74 69 31-40 77 67 79 Over 40 80 55 40 What can be concluded at the or = 0.05 significance level? a. What is the correct statistical test to use? O Paired t-test O Homogeneity O Goodness-of-Fit Independence b. What are the null and alternative hypotheses? Ho: O Age and sport preference are dependent. O The age distribution is not the same for each sport. O Age and sport preference are independent. O The age distribution is the same for each sport. O Age and sport preference are independent. O The age distribution is not the same for each sport. O The age distribution is the same for each sport. O Age and sport preference 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 less than (or equal to) v V oYou 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 77 115 75 42 Women 97 114 75 37 What can be concluded at the o = 0.05 significance level? a. What is the correct statistical test to use? O Goodness-of-Fit O Paired t-test O Independence O Homogeneity b. What are the null and alternative hypotheses? Ho: O The distribution of college major is not the same for each gender. O College major and gender are dependent. College major and gender are independent. O The distribution of college major is the same for each gender. H: O The distribution of college major is the same for each gender. O College major and gender are dependent. The distribution of college major is not the same for each gender. O College major 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 greater thanIs there an association between hair color and body type? The table below shows the results of a researcher's observations of randomly selected people. Frequencies of Hair Colors for Various Body Types Blonde | Brunette | Red Head Short and Slender 87 96 60 Short and Pudgy 96 111 71 Tall and Slender 42 94 60 Tall and Heavy 59 107 60 What can be conduded at the o = 0.01 significance level? a. What is the correct statistical test to use? In dependence O Goodness-of-Fit O Homogeneity O Paired t-test b. What are the null and alternative hypotheses? Ho: O Hair color and body type are dependent. O The distribution of hair color is not the same for each body type. Hair color and body type are independent. O The distribution of hair color is the same for each body type. HE O The distribution of hair color is the same for each body type. O The distribution of hair color is not the same for each body type. O Hair color and body type are independent. O Hair color and body type 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 greater thanA researcher is interested in investigating whether the military branch a person signs up for and the person's blood type are dependent. The table below shows the results of a survey. Frequencies of Military Branch and Blood Type O A B AB Army 91 59 58 30 Navy 123 74 47 29 Air Force 126 3 64 24 Marines 117 79 53 20 What can be concluded at the or = 0.05 significance level? a. What is the correct statistical test to use? O Goodness-of-Fit O Homogeneity Independence O Paired t-test b. What are the null and alternative hypotheses? Ho: O The distribution of blood types is not the same for each branch of the military. O Blood type and branch of the military are independent. O The distribution of blood types is the same for each branch of the military. O Blood type and branch of the military are dependent. H: O Blood type and branch of the military are independent. O The distribution of blood types is the same for each branch of the military. O The distribution of blood types is not the same for each branch of the military. O Blood type and branch of the military 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 less than (or equal to) v X oYou are interested in investigating whether the type of computer a person primarily uses and the type of car they drive are dependent. The table below shows the results of a survey. Frequencies of Computer and Car Type Sedan SUV Truck Tablet 86 93 43 Notebook 76 107 34 Desktop 110 104 24 What can be concluded at the o = 0.10 significance level? a. What is the correct statistical test to use? O Goodness-of-Fit O Homogeneity O Paired t-test In dependence b. What are the null and alternative hypotheses? Ho: O Computer type and car type are independent. O The distribution of computer types is not the same for each car type. O The distribution of computer types is the same for each car type. O Computer type and car type are dependent. HE O The distribution of computer types is the same for each car type. O The distribution of computer types is not the same for each car type. O Computer type and car type are independent. O Computer type and car type 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 less than (or equal to) v