Ford Motor Company wishes to estimate the mean dollar amount of damage done to a new model Taurus as a result of a 10 mph crash into the rear bumper of a parked car. 36 Tauruses are test crashed into parked cars and the dollar amount of damage done to each is recorded. The results are:

a. Does the sample data provide evidence that the population mean amount of damage is less than $475 (using =0.05)? Use the 5 step hypothesis testing procedure.

1. Formulate the null and alternative hypotheses.
2. Determine the criterion for rejection or non-rejection of the null hypothesis. That is, determine the Z critical value.
3. Calculate the Z test statistic.
4. Compare the Z test statistic to the Z critical value (rejection region) and make a judgment about the null and alternative hypotheses.
5. Interpret the statistical decision in terms of the problem.
6. Compute the observed p value in the hypothesis test, and interpret this value. What does this mean?

A random sample of 300 beer drinkers is selected and each member of the sample is asked to choose between two beers: Brand A and Brand B. The results are that 165 prefer brand A and 135 prefer brand B.

a. Does the sample data provide evidence to conclude that more than 50% of the population of beer drinkers prefer brand A to brand B (using =0.01)? Use the 5 step hypothesis testing procedure.

p = population proportion favoring brand A.

1. Formulate the null and alternative hypotheses:
2. Determine the criterion for rejection or non-rejection of the null hypothesis. That is, determine the Z critical value.
3. Calculate the Z test statistic.
4. Compare the Z test statistic with the Z critical value (rejection region) and make a judgment about the null and alternative hypotheses:
5. Interpret the statistical decision in terms of the problem.
6. Compute the observed p value in the hypothesis test, and interpret this value. What does this mean?

The solution provides step by step method for the calculation of testing of hypothesis. Formula for the calculation and Interpretations of the results are also included. Interactive excel sheet is included. The user can edit the inputs and obtain the complete results for a new set of data.

Workers Bosses
N1=436 N2=121
X1=192 X2=40
Assume that you plan to use a significance level of a=.05 to test the claim that P1 = P2. Use the given sample sizes in numbers of success to find p -value.

In a random sample of 400 employees of a local company, 180 were female.
a. At 95% confidence using the critical value approach, determine if the proportion of females in the company is significantly less than 50%.
b. At 95% confidence using the p-value approach, test to determine if the proportion of females in the compan

66% of students at a university live on campus. A random sample found that 20 of 40 male students and 40 of 50 of female students lived on campus. At the .05 level of significance, is there sufficient evidence to conclude that a difference exists between the proportion of male students who live on campus and the proportion of

pop. size crime
Nashville 569891 46016
Knoxville 173890 11983
Chattanooga 155554 15867
Using the above data write a hypothesis and preform an ANOVA test in excel. Test whether or not the crime rate is different in three different size cities. 0.05.

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

Flip a coin 30 times and record the results. A fair coin should land on heads 50% of the time, which is the claim that we will use for our hypothesis.
My results after flipping the coin:
17 heads and 13 tails
My hypothesis would be:
HO: p=0.5
Ha: p not = to 0.5
Where p represents the proportion of heads.
Please he

Environmental health indicators include air quality, water quality, and food quality. Twenty-five years ago, 47% of U.S. food samples contained pesticide residues. In a recent study, 44 of 125 food samples contained pesticide residues.
a. State the hypotheses that can be used to show that the population proportion declined.

Joe thinks that no more than 20% of students in his Statistics class will get an A in the final examination. To prove his claim, he takes a random sample of 35 students and finds to his surprise that 30% of students got an A. At a 0.01 percent level of significance can we reject Joe's claim?

Professor Jennings claims that 35% of the students at Flora College work while attending school. Dean Renata thinks that the professor has underestimated the number of students with part time or full time jobs. A random sample of 81 students shows that 39 have jobs. Do the data indicate that more than 35% of the students have jo