- A machine is designed to fill toothpaste tubes, on an average, with 5.8 ounces of toothpaste. The manufacturer does not want any underfilling or overfilling. The correct hypotheses to be tested are H0: μ = 5.8 Ha: μ ≠ 5.8.
- A random sample of 100 people was taken. Eighty-five 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 80%. The p-value is 0.1056
- A sample of 1400 items had 280 defective items. For the following hypothesis test,
H0: p ≤ .20
Ha: p > .20
the test statistic is zero - A two-tailed test is performed at the .05 level of significance. The p-value is determined to be .09. The null hypothesis should not be rejected.
- A weatherman stated that the average temperature during July in Chattanooga is 80 degrees or less. A sample of 32 Julys is taken to test the weatherman’s statement. The correct set of hypotheses is H0: μ ≥ 80 Ha: μ < 80.
- As the test statistic becomes larger, the p-value gets smaller.
- If the level of significance of a hypothesis test is raised from .01 to .05, the probability of a Type II error will decrease.
- If the null hypothesis is rejected in hypothesis testing, the alternative hypothesis is true
- In hypothesis testing, if the null hypothesis has been rejected when the alternative hypothesis has been true the correct decision has been made
- In the past, 75% of the tourists who visited Chattanooga went to see Rock City. The management of Rock City recently undertook an extensive promotional campaign. They are interested in determining whether the promotional campaign actually increased the proportion of tourists visiting Rock City. The correct set of hypotheses is H0: p ≤ .75 Ha: p > .75.
- More evidence against H0 is indicated by smaller p-values.
- Read the t statistic from the t distribution table and circle the correct answer. For a one-tailed test (upper tail), using a sample size of 18, and at the 5% level of significance, t 1.740
- the academic planner of a university thinks that at least 35% of the entire student body attends summer school. The correct set of hypotheses to test his belief is H0: p ≥ .35 Ha: p < .35.
- The average monthly rent for one-bedroom apartments in Chattanooga has been $700. Because of the downturn in the real estate market, it is believed that there has been a decrease in the average rental. The correct hypotheses to be tested are H0: μ ≥ 700 Ha: μ < 700.
- The error of rejecting a true null hypothesis is a Type I error
- The level of significance is the maximum allowable probability of Type I error.
- The probability of committing a Type I error when the null hypothesis is true as an equality is the level of significance.
- The p-value is a probability.
- What type of error occurs if you fail to reject H0 when, in fact, it is not true? Type II
- When the null hypothesis is NOT rejected, it is not possible a Type II error has occurred.
- When the null hypothesis is rejected, it is possible a Type I error has occurred
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