An usher at a movie theater claims no more than half of all movie theater customers buy something at the refreshment stand. To test the claim, the usher observes a random sample of 80 people and finds that 47 of them buy something.

a) What is the Null Hypothesis and the Alternative Hypothesis for the usher's claim?

b) If we use a 0.01 significance level, what is the critical value for the test?

c) Calculate the value of the test statistic.

d) What is your decision about the null hypothesis and your conclusion about usher’s claim?

e) Calculate the p-value for this test.

1. Explain how liminality, cultural chasm and white supremacy are inter-related.

2. Start to connect with the reading. Use ONE example of your read material and connect it to one of the term. How is the term being described in the reading. You can't use bell hooks and cultural chasm because I already provided you an example in the online lecture. BUT you can use another one from hooks' essay if you find it.

file:///Users/Irene/Downloads/Straightening%20Our%20Hair.pdf

file:///Users/Irene/Downloads/_The%20Myth%20of%20the%20Latin%20Woman_%20_%20Just%20Met%20a%20Girl%20Named%20Maria.pdf

3. Start thinking of experiential factors that contribute to the liminal state of Judith Ortiz Cofer and bell hooks. Identify 1 for EACH of the authors. Demonstrate that you read.

1. A heater is used to heat 100 SCM of nitrogen in a rigid vessel from 26.85^oC  to 126.85^oC. Do energy balance and calculate heat duty Q (kJ) using data from Table A-2a,b,c and A18. State your assumption and explain your results.

Complaints about weekday airline flights not being on time average about 15.17 complaints per month at airports in small U. S. cities. The local airport is proud to advertise that its average monthly on-time performance is superior to the national monthly average for small city airports. Since June 2003, a random sample of nine months reveals that the number of complaints regarding weekday flights not being on time at the local airport were: 9 10 12 13 14 15 15 16 17 Using the 0.05 significance level, does the data justify the local airport's claim?

The null hypothesis?

the alternate hypothesis?

What is the correct test statistic?

Will the upper tail, lower tail, or both tails be used?

What is (are) the critical values: (Fill in the blank with the correct number to 4 decimal places.)

What is the sample mean? (Fill in the blank with the correct number to 4 decimal places.)

What is the population mean, mu? (Fill in the blank with the correct number to 4 decimal places.)

Will you use the population standard deviation or the sample standard deviation?

What number will you use for the standard deviation? (Fill in the blank with the correct number to 4 decimal places.)

What is the computed value of the test statistic? (Fill in the blank with the correct number to 4 decimal places.)

does the test statistic fall in the critical region or the rejection region:

Is your decision not to reject or to reject the null hypothesis

Is your decision in favor of the null hypothesis or the alternate hypothesis:

The correct statistical conclusion is:

Using the 0.05 level of significance, does the data justify the local airport’s claim? Explain your answer

Offspring of fruit flies may have red or brown bodies and normal wings or short wings. Genetic theory predicts that these traits will appear in the ratio​ 9:3:3:1 (9 red​, ​normal: 3 red​, ​short: 3 brown​, ​normal: 1 brown​, ​short). A researcher checks 100 such flies and finds the distribution of the traits to be 55​, 20​, 14​, and 11​, respectively.

Compute the​ chi-square statistic. x²=

critical value?

P-value?

Suppose you double the amount of flies to 200 and the distribution of the traits respectively

what would the new chi-square statistic be?

critical value?

P-Value?

Suppose you have a pair of tetrahedra. One is red on one face, yellow on two faces, and green on one face. The other is white and has faces marked 1, 2, 3 ,4

a. Complete the table

b. If both tetrahedra are tossed, what is the probability of a red (facing down) and a 3 (facing down)? Of a yellow (facing down) and a number >1 on the other (facing down?) Of a green (facing down) and a number >4 (facing down) on the other? Of a yellow (facing down) on the colored one and a sum of >2 of faces showing on the other?

Consider an observable with continuous spectra. In contrast with the discrete case, what can you say about the eigenfunctions of this observable, the probability of obtaining a given value after a measurement, and the state of a system after a measurement is performed?

In the current state of the economy and the bullwhip effect of prepping for a health epidemic, many companies are experiencing capacity planning issues.

What capacity issues have you experienced or know about related to this health crisis?

2. In 2001, the U.S. Senate voted on the question of whether to allow oil and gas drilling in the Gulf of Mexico. The relationship between party affiliation and vote is shown in the following table:

A. Calculate chi-square for this table. Show your work. Draw a table just like the one above, leaving room in each cell to record these numbers: observed frequency (f0), expected frequency (fe), f0-fe, (f0-fe)2, and (f0-fe)2/fe.

B. Use chi-square to test the null hypothesis that, in the population from which the sample was drawn, there is no relationship between party and vote. Using Table 7-7, find the appropriate critical value (use the .05 level of significance). (i) Write down the critical value. (ii) Should you reject the null hypothesis or not reject the null hypothesis? (iii) Explain your reasoning.

C. Calculate lambda for this table. (i) Show your work. (ii) Write a sentence explaining exactly what the value of lambda means. (iii) State whether the relationship is weak, moderate, moderately strong, or strong.