The practice of concluding do not reject H0 is preferred ove

The practice of concluding \"do not reject H₀\" is preferred over \"accept H₀\" when we:

d. have not controlled for the Type II error

In order to test the hypotheses H₀: 100 and H_a: > 100 at an level of significance, the null hypothesis will be rejected if the test statistic z is:

d. < z

The manager of an automobile dealership is considering a new bonus plan in order to increase sales. Currently, the mean sales rate per salesperson is five automobiles per month. The correct set of hypotheses for testing the effect of the bonus plan is:

d. H₀: 5 H_a: > 5

The smaller the p-value,

d. the less likely you are to reject H₀.

A random sample of 100 people was taken. Eighty of the people in the sample favored Candidate A. We are interested in determining whether or not the proportion of the population in favor of Candidate A is significantly more than 75%.

Refer to Exhibit 9-6. The p-value is:

d. .0250

In hypothesis testing, the critical value is:

d. the probability of a Type I error.

If the cost of a Type I error is high, a smaller value should be chosen for the:

d. level of significance.

A p-value is the:

a. are testing the validity of a claim.

b. are conducting a one-tailed test.

c. have an insufficient sample size.

d. have not controlled for the Type II error In order to test the hypotheses H0: 100 and Ha: > 100 at an level of significance, the null hypothesis will be rejected if the test statistic z is: a. z b. -z c. < 100 d. < z The manager of an automobile dealership is considering a new bonus plan in order to increase sales. Currently, the mean sales rate per salesperson is five automobiles per month. The correct set of hypotheses for testing the effect of the bonus plan is: a. H0: 5 Ha: < 5 b. H0: > 5 Ha: 5 c. H0: < 5 Ha: 5 d. H0: 5 Ha: > 5 The smaller the p-value, a. the greater the evidence against H0. b. the greater the chance of committing a Type II error. c. the greater the chance of committing a Type I error. d. the less likely you are to reject H0. A random sample of 100 people was taken. Eighty of the people in the sample favored Candidate A. We are interested in determining whether or not the proportion of the population in favor of Candidate A is significantly more than 75%. Refer to Exhibit 9-6. The p-value is: a. .0500 b. .1056 c. .2112 d. .0250 In hypothesis testing, the critical value is: a. a number that establishes the boundary of the rejection region. b. the probability of a Type II error. c. the same as the p-value. d. the probability of a Type I error. If the cost of a Type I error is high, a smaller value should be chosen for the: a. confidence coefficient. b. critical value. c. test statistic. d. level of significance. A p-value is the: a. probability of a Type II error. b. probability, when the null hypothesis is true, of obtaining a sample result that is at least as unlikely as what is observed. c. value of the test statistic. d. probability corresponding to the critical value(s) in a hypothesis test

Solution

a. are testing the validity of a claim.  

b. -z

a. H0: 5 Ha: < 5

c. the greater the chance of committing a Type I error.

Z-Test For Proportion
Set Up Hypothesis
Under The Null Hypothesis H0:P=0.75
Under The Alternate Hypothesis H1: P!=0.75
Test Statistic
No. Of Success chances Observed (x)=80
Number of objects in a sample provided(n)=100
No. Of Success Rate ( P )= x/n = 0.8
Success Probability ( Po )=0.75
Failure Probability ( Qo) = 0.25
we use Test Statistic (Z) for Single Proportion = P-Po/Sqrt(PoQo/n)
Zo=0.8-0.75/(Sqrt(0.1875)/100)
Zo =1.15
| Zo | =1.15
Critical Value
The Value of |Z | at LOS 0.05% is 1.96
We got |Zo| =1.155 & | Z | =1.96
Make Decision
Hence Value of |Zo | < | Z | and Here we Do not Reject Ho
P-Value: Two Tailed ( double the one tail ) - Ha : ( P != 1.1547 ) = 0.24821
Hence Value of P0.05 < 0.2482,Here We Do not Reject Ho