If all other factors are held constant, which of the following results in an increase in the probability of a Type IIII error? The true parameter is farther from the value of the null hypothesis. A The sample size is increased. B The significance level is decreased. C The standard error is decreased. D The probability of a Type IIII error cannot be increased, only decreased.
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If all other factors are held constant, which of the following results in an increase in the probability of a Type IIII error?
-
The true parameter is farther from the value of the null hypothesis.
A -
The
sample size is increased.B -
The significance level is decreased.
C -
The standard error is decreased.
D -
The probability of a Type IIII error cannot be increased, only decreased.
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- Test the claim that the mean GPA of night students is smaller than 2.1 at the 0.025 significance level. The null and alternative hypothesis would be: Но: р > 0.525 Но: д 2.1 Но:р H:р 2.1 Н:n + 2.1 Hi:р > 0.525 Н: д < 2.1 Нј:р# 0.525 0.525 The test is: two-tailed left-tailed right-tailed Based on a sample of 70 people, the sample mean GPA was 2.07 with a standard deviation of 0.02 The p-value is: (to 2 decimals) Based on this we: Reject the null hypothesis O Fail to reject the null hypothesisTest the claim that the mean GPA of night students is larger than the mean GPA of day students at the 0.005 significance level. The null and alternative hypothesis would be: Họ: PN 2 pp Họ:N 2 D Ho: PN PD H1 : UN + UD Hị:PN + PD H1: N > uD The test is: right-tailed two-tailed left-tailed The sample consisted of 30 night students, with a sample mean GPA of 2.18 and a standard deviation of 0.07, and 30 day students, with a sample mean GPA of 2.14 and a standard deviation of 0.08. The test statistic is: (to 2 decimals) The p-value is: (to 2 decimals) Based on this we: Fail to reject the null hypothesis Reject the null hypothesisTest the claim that the proportion of men who own cats is significantly different than 40% at the 0.02 significance level. The null and alternative hypothesis would be: Ho:µ 0.4 Ho:p 0.4 H1:µ > 0.4 Hị:p 0.4 H1:p+ 0.4 H1:µ + 0.4 H1:µ < 0.4 The test is: left-tailed two-tailed right-tailed Based on a sample of 200 people, 31% owned cats The test statistic is: (to 2 decimals) The positive critical value is: |(to 2 decimals) Based on this we: O Fail to reject the null hypothesis O Reject the null hypothesis
- Test the claim that the proportion of people who own cats is significantly different than 30% at the 0.01 significance level. The null and alternative hypothesis would be: 0.3 Но: р > 0.3 Но:р > 0.3 Но:р — 0.3 Но:р 0.3 H1 :µ + 0.3 H1: H 0.3 The test is: two-tailed right-tailed left-tailed Based on a sample of 800 people, 39% owned cats The p-value is: (to 2 decimals) Based on this we: Fail to reject the null hypothesis Reject the null hypothesisTest the claim that the proportion of people who own cats is significantly different than 20% at the 0.02 significance level. The null and alternative hypothesis would be: Ho: 0.2 Ho:p 0.2 Ho: 0.2 O O O The test is: left-tailed two-tailed right-tailed O O Ho:p 0.2 of H₁:p> 0.2 H₁: 0.2 H₁ :p < 0.2 O O Based on a sample of 500 people, 22% owned cats The p-value is: (to 2 decimals)Test the claim that the proportion of people who own cats is smaller than 30% at the 0.005 significance level. The null and alternative hypothesis would be: Ho:p 0.3 Ho: u > 0.3 Ho:µ 0.3 H1:p 0.3 H1:µ 0.3 H1:p # 0.3 0.3 The test is: right-tailed left-tailed two-tailed Based on a sample of 800 people, 23% owned cats The p-value is: (to 2 decimals) Based on this we: Fail to reject the null hypothesis O Reject the null hypothesis
- Which of the following is the name for the statistical hypothesis that describes an outcome of some change? Type I error Null hypothesis Alternative hypothesis Type II errorTest the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats at the 0.2 significance level. The null and alternative hypothesis would be: Ho: M = μF Ho: PM = PF H₁:µm > µF H₁:PM > pF Ho: PM = PF H₁:PMTest the claim that the proportion of men who own cats is significantly different than 70% at the 0.1 significance level. The null and alternative hypothesis would be: Но: р 3 0.7 Но:д — 0.7 Но:д %3D 0.7 Но:р — 0.7 Но:р — 0.7 Но: д — 0.7 H:р +0.7 H:n # 0.7 Hi:р > 0.7 H:p > 0.7 H:р < 0.7 H:р < 0.7 The test is: two-tailed left-tailed right-tailed Based on a sample of 55 people, 75% owned cats The test statistic i: (to 2 decimals) The positive critical value is: (to 2 decimals) Based on this we: O Fail to reject the null hypothesis O Reject the null hypothesisA Two-Sample Hypothesis Test The principal at a local high school claims that the proportion of high school males taking AP statistics is the same as the proportion of high school females taking statistics. Upon surveying 30 males and 28 females. The principal found that 6 males and 7 females are taking AP statistics. Although the proportions of these two populations are close, can the principal state that they are, in fact, statistically the same? (ASsume a 5% level of significance.)Test the claim that the proportion of people who own cats is significantly different than 30% at the 0.1 significance level. The null and alternative hypothesis would be: Но: и 2 0.3 Но:р 0.3 H1:p 0.3 H1:µ 7 0.3 H1:p# 0.3 The test is: two-tailed right-tailed left-tailed Based on a sample of 500 people, 35% owned cats The p-value is: ( (to 2 decimals) Based on this we: O Fail to reject the null hypothesisTest the claim that the proportion of men who own cats is smaller than the proportion of women who own cats at the .025 significance level. The null and alternative hypothesis would be: Ho MMF Ho: PM = PF H₁: MMF O H₁: PM > PF O The test is: two-tailed right-tailed O The test statistic is: Based on a sample of 60 men, 25% owned cats Based on a sample of 40 women, 40% owned cats The p-value is: Ho: M = μF H₁: UMSEE MORE QUESTIONSRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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