A Type I error means That I didn't have a large enough sample to make a decision That I accepted the null hypothesis, when it is really false That my positive hypothesis is incorrect That I rejected the null hypothesis, when it was really true

A university offers a certain course that students can take in-person or in an online setting. Teachers of the course were curious if there was a difference in the passing rate between two settings. The teachers selected random samples of 200 students who take the course in-person and 300 students who take the course online for the hypothesis testing. From these two independent samples, 80% of the students passed the in-person setting and 75% of students passed the online setting. They were willing to treat these as representative samples ofall students who may take each setting of the course. (a) Test whether there is a difference in the passing rate between two course settings at 4% significant level. (b) Find the p-value of the test and does it lead to the same conclusion in (a)? (c) Find the 96% confidence interval to estimate the difference between the proportion of students who pass in each setting of the course (Pin-p 'in-person – Ponline).

A private and a public university are located in the same city. For the private university, 1043 alumni were surveyed and 654 said that they attended at least one class reunion. For the public university, 809 out of 1324 sampled alumni claimed they have attended at least one class reunion. Is the difference in the sample proportions statistically significant? (Use α=0.05) a) Reject the null hypothesis which states there is no difference in the proportion of alumni that attended at least one class reunion in favor of the alternate which states there is a difference in the proportions. b) Fail to reject the null hypothesis. There is not enough evidence to conclude that there is a difference in the proportions. c) There is not enough information to make a conclusion.

A researcher is considering two different studies of a new cancer therapy. One of the studies would be relatively underpowered. This underpowered study is more likely to     accept the null hypothesis     make a type-II error     none of these     reject the null hypothesis     make a type-I error

Describe about the New Null Hypothesis for One-Tailed Tests.

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A private and a public university are located in the same city. For the private university, 1046 alumni were surveyed and 653 said that they attended at least one class reunion. For the public university, 791 out of 1327 sampled alumni claimed they have attended at least one class reunion. Is the difference in the sample proportions statistically significant at the 1% level?  (Null and Alternate Hypothesis and Rejection Region) [Group 1: Private University; Group 2: Public University] A. Ho: p1 = p 2; Ha: p 1 < p 2; Rejection Region: z < -2.33 B. Ho: p 1 = p 2; Ha: p 1 < p 2; Rejection Region: z < -1.64 C. Ho: p 1 = p 2; Ha: p 1 > p 2; Rejection Region: z > 2.33 D. Ho: p 1 = p 2; Ha: p 1 ≠ p 2; Rejection Region: z < -2.58 or z > 2.58 E. Ho: p 1 = p 2; Ha: p 1 ≠ p 2; Rejection Region: t < -3.02 or t > 3.02 (Test Statistic) A. z = 1.372 B. z = 1.398 C. z = 69.517 D. z = 1.400 E. z = 6.508 (p-value and conclusion) A. p = 0.919; RHo (Sufficient evidence…

What does the null hypothesis assume for two independent sample t test?

A group of 250 patients was randomly split into two groups of 125 patients. The first group of 125 patients was given treatment A, and 72 of them improved their condition. The second group of 125 patients was given treatment B, and 60 of them improved their condition. Perform a hypothesis test to investigate whether there is evidence of a difference between the two treatments. What is the p-value of the test?

For a two-sided hypothesis test with significance level alpha, the probability that the null hypothesis will be accepted when it is actually true is     1 - (alpha/2)     alpha/2     1 - alpha     insufficient information     alpha