Find the expected counts in each category using the given sample size and null hypothesis. Ho: P1 P2 P3 = P4 = 0.25; n = 400 Enter the exact answers. Category Expected count i 1 i 2 i 3 |i| 4
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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 224 times. The results are displayed in the table below. Use an αα = 0.05 significance level. Complete the rest of the table by filling in the expected frequencies:Frequencies of Suits Dealt Outcome Frequency Expected Frequency Spades 60 Hearts 63 Diamonds 59 Clubs 42 What are the null and alternative hypotheses?H0:H0: Ha:Ha: The degrees of freedom = The test-statistic for this data = (Please round your answer to 3 decimal places.) Based on this, we should reject the null fail to reject the null accept the null The final conclusion is ... At a sigificance level of 5%, there is insufficient evidence to conclude that the distribution of suits is not uniform. At a sigificance level of 5%, there is sufficient evidence to conclude that suits and cards are dependent. At a…If N = 64, write the decision rules for a single-sample t test. Assume that the test is two-tailed and alpha is set a .05Participants who agree to use a certain weight loss pill to help alleviate their hunger were randomly surveyed before and after taking the weight loss pill. Their responses are given below using a scale from 1 to 10, where 1 is a small amount of hunger and 10 is very hungry. Does this weight loss pill help alleviate hunger? Before 9 9 7 6 8 7 7 5 8 After 8 9 6 5 8 7 8 4 6 What is the decision for this test? Participants who agree to use a certain weight loss pill to help alleviate their hunger were randomly surveyed before and after taking the weight loss pill. Their responses are given below using a scale from 1 to 10, where 1 is a small amount of hunger and 10 is very hungry. Does this weight loss pill help alleviate hunger? Before 9 9 7 6 8 7 7 5 8 After 8 9 6 5 8 7 8 4 6 What is the decision for this test? Fail to reject the null because the test statistic is not in the critical region and the p-value is less than alpha. Reject the null because the…
- 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 αα = 0.01. 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 1 21 2 15 3 22 4 6 5 29 6 27 What is the correct statistical test to use?Select an answer Paired t-test Independence Homogeneity Goodness-of-Fit What are the null and alternative hypotheses?H0:H0: The distribution of die rolls is not uniform. The die rolls are dependent. The die rolls are independent. The distribution of die rolls is uniform. H1:H1: The distribution of die rolls is uniform. The distribution of die rolls is not uniform. The die rolls are dependent. The die rolls are independent. The degrees of freedom = The test-statistic for this data = (Please show your answer to three decimal places.)…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 Pancakes Omelets French Toast 97 Waffles Men 45 99 73 Women 87 67 103 48 What can be concluded at the a = 0.01 significance level? a. What is the correct statistical test to use? O Homogeneity O Independence O Goodness-of-Fit O Paired t-test b. What are the null and alternative hypotheses? Ho: O The distribution of breakfast ordered for men is the same as it is for women. O Breakfast ordered and gender are dependent. O The distribution of breakfast ordered for men is not the same as it is for women. O Breakfast ordered and gender are independent. H: O Breakfast ordered and gender are dependent. Breakfast ordered and gender are independent. O The distribution of breakfast ordered for men is not the same as it is for women. O The distribution of breakfast ordered for men is the same as it is for…What is the standard error for the independent sample t statistic for the two samples? Sample 1 n = 6, SS = 56 Sample 2 n = 4, SS = 40 Select one: 2.24 9.6 12 5
- All PartsRamos has a spinning wheel. The Spining wheel has 18 blue numbers 18 white numbers and 2 yellow numbers the table provided shows the frequency with which the ball landed on each color in 200 trials. color blue frequency 18 white frequency 18 yellow frequency 2 . At the 5% significance level do the data suggest that the wheel is out of balance?you will need to compute the expected counts to do your calculations remember that the expected counts can be computed with the formula E = np, where n is the number of trials and P is the probability of each color.In studying the responses to questions on a multiple-choice test, the following sample data are obtained. At the α=0.05 significance level, test the claim that the responses occur with the same frequency. H0 : The responses to the questions occur with the same frequency. H1 : The responses to the questions do not occur with the same frequency. Response ObservedFrequency ExpectedFrequency (O−E)2E A 18 B 7 C 6 D 20 E 18 What is the χ2 test-statistic for this data? Round to four decimal places.χ2= _____________ What is the p -value? Round to four decimal places. p -value=__________
- A distribution of scores is positively skewed. Which is the most probable order, from smallest to largest, for the three measures of central tendency? O Mean, median, mode O Mode, median, mean Mean, mode, median O Median, mean, modeA survey is conducted to determine if there is a difference in the proportion of students, parents, and teachers who volunteer at least once a month. To investigate, a random sample of 45 students, 25 parents, and 12 teachers was selected from a large high school. The data are displayed in the tables. Observed counts: Expected counts: The researcher would like to test these hypotheses: H0: There is no difference in the distribution of responses among these three populations.Ha: There is a difference in the distribution of responses among these three populations. The conditions for inference are met. What is the value of the chi-square test statistic and what are the degrees of freedom for this test? χ‑2 = 0.19, df = 2χ‑2 = 0.19, df = 5χ‑2 = 0.44, df = 2χ‑2 = 0.44, df = 5Do 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 81 59 84 87 Women 114 75 104 58 What can be concluded at the αα = 0.05 significance level? What is the correct statistical test to use? Goodness-of-Fit Paired t-test Independence Homogeneity What are the null and alternative hypotheses?H0:H0: The distribution of breakfast ordered for men is the same as it is for women. 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. H1:H1: The distribution of breakfast ordered for men is not the same as it is for women. Breakfast ordered and gender are independent. The distribution of breakfast ordered for men is the same as it is for women. Breakfast ordered and gender…
