Famous Electronics sells TV satellite dishes and has been in business for a number of years. The firm's owner has become concerned about the firm's pricing, advertising, and other competitive strategies. She hired a consulting firm to estimate the demand function for TV dishes. The consulting firm informed her that the demand function was estimated using data gathered from 150 similar firms operating during the past year. Standard deviations of each of the regression coefficients are reported in parenthesis.

Qx = 1500 - 0.8 Px + 20 Pc + 0.032 Y + 0.012 Ax
(240) (0.17) (4.5) (0.007) (0.002)

R2 = 0.25
Standard Error of the estimate = 40.0

where: Qx = annual quantity of dishes sold
Px = the price per dish
Pc = the price of regular cable TV service
Y = average income
Ax = advertising expenditures on dishes

Current values for the independent variables are: Px = 1,500; Pc = 60; Y = 45,000; and Ax = 50,000

Use t-statistic or F-test and null hypothesis wherever applicable:

a. Calculate the expected quantity of dishes to be sold, given the current values of the independent variables.
b. Construct and interpret the meaning of a 95% confidence interval around the estimated quantity of dishes to be sold as forecasted in part a.
c. What proportion of total inter-firm variation in quantity sold is explained by the model? Is this value significantly different from zero, assuming a desired 95% confidence level?
d. Calculate and interpret the economic meaning of the point demand elasticity corresponding to each of the model's independent variables Px, Pc, etc.

The following hypotheses are given:
H0: π 0.70
H1: π >0.70
A sample of 100 observations revealed that p = 0.75.
At the .05 significance level, can the null hypothesis be rejected?
1. State the decision rule.
2. Compute the value of the test statistic.
3. What is your decision regarding the null hypothesis?

Please see the attached file.
A hypothesis test is used to test a claim. You get 1.75 as your test statistic and 1.59 as your critical value for a right-tailed test. Which of the following is the correct decision statement for the test?
A. Reject the null hypothesis
B. Claim the null hypothesis i

Ho:u1-u2 = 0
Ha:u1-u2 does not equal 0
The following results are for two independent samples taken from the two populations.
Sample 1
N1 = 80
x1 = 104
o1 = 8.4
Sample 2
N2 = 70
x2 = 106
o2 = 7.6
1. What is the value of the test statistic?
2. What is the p-value
3. With a=.05, what is your co

What is the purpose of a hypothesis test? What goes in the null hypothesis and what goes in the alternate hypothesis? Why is it inappropriate to put a sample statistic in the hypothesis?
If you are testing the hypothesis
H0: population proportion is .5
H1: population proportion is not .5,
and you get .52 for the sample

1. If you were to conduct right-tailed hypothesis test at 5% significance level, you choose the critical value this way. Assuming that the null hypothesis is true, you will find the value of the test statistic for which the probability of obtaining a value less than the specified value is 0.05. Is this true? Explain answer.

Please explain and resolve the attached problem. Thanks!
Assume that you want to test the claim that the paired sample data come from a population for which the mean difference is = 0. Compute the value of the t test statistic.
x 7 2 7 3 10
y 4 4 3 4 5
Use three decimal places

Consider the following hypothesis test:
HO: µ ≥ 80
Ha: µ < 80
A sample of 100 is used and the population standard deviation is 12. Compute the p-value and state your conclusion for each of the following sample results. Use a = .01.
a) x = 78.5
b) x = 77
c) x = 75.5
d) x = 81

Please help answer the following questions involving statistics.
1. Why do we use hypothesis testing?
2. What is a test statistic and how is it related to a critical value in hypothesis testing?
3. What is the critical region in hypothesis testing and why is it important?

For this exercise answer the questions: A. is this a one-or two- tailed test? B. what is the decision rule? C. what is the value of the test statistic? D. what is your decision regarding H¥ï? E. what is the type p - value? Interpret it.
The following information is available.
HÂ 10
HÌ > 10
The sample mean is 12