null hypothesis
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A rejection of the null hypothesis implies the following:
- a) the null hypothesis is guaranteed false
- b) the null hypothesis may be false
- c)
sample size was very large - d) statistical power was insufficient for the experiment
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- Test the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats at the 0.01 significance level. The null and alternative hypothesis would be: A.)H0:pM=pF H1:pM>pF B.)H0:pM=pF H1:pM≠pF C.)H0:μM=μF H1:μM≠μF D.)H0:pM=pF H1:pM<pF E.)H0:μM=μF H1:μM>μF F.)H0:μM=μFH0:μM=μF H1:μM<μFH1:μM<μF The test is: A.) left-tailed B.) right-tailed C.) two-tailed Based on a sample of 60 men, 30% owned catsBased on a sample of 60 women, 50% owned cats The test statistic is: (to 2 decimals) The positive critical value is: (to 2 decimals) Based on this we: A.) Fail to reject the null hypothesis B.) Reject the null hypothesisSmaller p-values indicate more evidence in support of: normally distributed population a large sample size the alternative hypothesis the null hypothesisIf the p-value is very large (say close to 1), then it is likely that we will reject the null hypothesis. True False
- Test the claim that the mean GPA of night students is larger than 2.3 at the .025 significance level. The null and alternative hypothesis would be: Но : р — 2.3 Но:н — 2.3 Но:р %3D 0.575 Но: д —— 2.3 Но:р %3D 0.575 Но:р 3 0.575 H:р + 2.3 Hi:p 2.3 Н:р#0.575 H:р> 0.575 The test is: left-tailed right-tailed two-tailed Based on a sample of 65 people, the sample mean GPA was 2.34 with a standard deviation of 0.06 The test statistic is: (to 2 decimals) The critical value is: (to 2 decimals) Based on this we: O Fail to reject the null hypothesis O Reject the null hypothesisConsider the following hypothesis test. Ho: H₁ - H₂ SO Ha: M₁ - H₂ > O The following results are for two independent samples taken from the two populations. Sample 1 Sample 2 n₁ = 40 7₂ = 50 X₁ = 25.4 %1 = 5.7 (a) What is the value of the test statistic? (Round your answer to two decimal places.) = 22.8 x₂ = %₂ = 6 (b) What is the p-value? (Round your answer to four decimal places.) (c) with a = 0.05, what is your hypothesis testing conclusion? Reject Ho. There is insufficient evidence to conclude that μ₁ - H₂ > 0. Reject Ho. There is sufficient evidence to conclude that μ₁ - μ₂ > 0. Do not reject Ho. There is insufficient evidence to conclude that μ₁ - μ₂ > 0. Do not Reject Ho. There is sufficient evidence to conclude that μ₁ −μ₂ > 0. -Two different simple random samples are drawn from two different populations. The first sample consists of 20 people with 10 having a common attribute. The second sample consists of 2200 people with 1597 of them having the same common attribute. Compare the results from a hypothesis test of p1= p2 (with a 0.01 significance level) and a 99% confidence interval estimate of p1− p2.
- Looking at youth depression scores from a general sample of random children in the US, we want to determine if our sample is significantly different than the national average of scores of children with depression in the US. The national average of scores on a measure of depression is 5 points. We have no reason to assume it will be higher or lower than the US national average. The sample: 11 9 12 3 3 4 13 1. What is the null and alternative hypotheses? Do not specify any directionality. 2. What did you discover (using 95% Cl)? Provide an interpretation.As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the first population mean is less than the second population mean. There is not sufficient evidence to warrant rejection of the claim that the first population mean is less than the second population mean. The sample data support the claim that the first population mean is less than the second population mean. There is not sufficient sample evidence to support the claim that the first population mean is less than the second population mean.Two different simple random samples are drawn from two different populations. The first sample consists of 20 people with10 having a common attribute. The second sample consists of 1900 people with 1352 of them having the same common attribute. Compare the results from a hypothesis test of p1=p 2 (with a 0.01 significance level) and a 99% confidence interval estimate of p1−p2. What are the null and alternative hypotheses for the hypothesis test? A. Upper H 0H0: p 1p1equals=p 2p2 Upper H 1H1: p 1p1greater than>p 2p2 B. Upper H 0H0: p 1p1not equals≠p 2p2 Upper H 1H1: p 1p1equals=p 2p2 C. Upper H 0H0: p 1p1less than or equals≤p 2p2 Upper H 1H1: p 1p1not equals≠p 2p2 D. Upper H 0H0: p 1p1greater than or equals≥p 2p2 Upper H 1H1: p 1p1not equals≠p 2p2 E. Upper H 0H0: p 1p1equals=p 2p2 Upper H 1H1: p 1p1less than<p 2p2 F. Upper H 0H0: p 1p1equals=p 2p2 Upper H 1H1: p 1p1not equals≠p 2p2 Identify the…
- Two different simple random samples are drawn from two different populations. The first sample consists of 40 people with 20 having a common attribute. The second sample consists of 1800 people with 1291 of them having the same attribute. Compare the results from a hypothesis test p1=p2 (with a 0.05 significance level) and a 95% confidence interval estimate of p1-p2. What are the null and alternative hypotheses for the hypothesis test?a statistics instructor belives that fewer than 25% of NRCC students have a cable TV subcription and instead prefer streaming content. What is the correct NULL hypothesis for this scenario? a. p< .25 b. p< or equal to .25 c. p >.25 d. p > or equal to .25A new treatment for a certain disease is claimed to be effective in more than 80 % of cases . To test this claim the treatment was given to 100 randomly selected patients . The treatment was effective in 85 out of the 100 patients . What is the conclusion at a 5 % level of significance ? A. Reject the null hypothesis .There is sufficient evidence to claim that the treatment is effective in more than 80 % of cases B. Reject the null hypothesis .There is not sufficient evidence to claim that the treatment is effective in more than 80 % of cases C. Fail to reject the null hypothesis. There is sufficient evidence to claim that the treatment is effective in more than 80 % of cases D. Fail to reject the null hypothesis. There is not sufficient evidence to claim that the treatment is effective in more than 80 % of cases