If your test statistic is more extreme (farther from 0) than the critical value, and has the same sign as the critical value then you: If your p-value is less than or equal to your alpha level, then you: If your test statistic is not more extreme( closer to 0) than the critical value, then you: If your p-value is greater than your alpha level, then you: When doing hypothesis tests for the mean, it is very unusual to know the population standard deviation, sigma, and we have to use the sample standard deviation, s. Therefore, we almost always use:

Q: You wish to test the following claim (Ha) at a significance level of a = 0.005. Ho: P₁= P2 Ha: P1 P2…

A: Significance level, Null and alternative hypotheses:Sample 1:Sample 2:

Q: You are conducting a hypothesis test about income where the research (alternative) hypothesis is…

A: It is given that  Population mean, μ = 60000 Sample mean, x̄ = 65000 Standard error, SE = 130

Q: You are conducting a study to see if the probability of catching the flu this year is significantly…

A: Given data: Significance level = 0.10 n =121 X = 37 p = 0.2

Q: A random sample of 76 eighth grade students' scores on a national mathematics assessment test has a…

A: a. Null hypothesis: µ=260. Alternative hypothesis: µ>260(claim). Correct answer is option (E) b.…

Q: You wish to test the following claim (Ha) at a significance level of a 0.02. H.:P1 = p2 Ha:Pi # P2…

A:

Q: You are asked to test the null hypothesis at the .05 level of significance and you end up with…

A: It is given that the z-observed value is -1.83.

Q: A two-sided t-test of the null hypothesis Ho: u=40 is conducted. If a 95 percent t-interval…

A: The objective of the question is to understand the relationship between the p-value, the confidence…

Q: You wish to test the following claim (Ha) at a significance level of a = 0.10. H.:P1 = P2 Ha:Pi # P2…

A:

Q: The p-value for the one-sided test Ho: µ = 3 ppm vs. H:u> 3 ppm was 0.23. Do you reject the null…

A: GivenP-value for the one-sided test is 0.23H0:μ=3 ppmH1:μ>3ppmsignificance level(α)=5%=0.05

Q: You wish to test the following claim (H) at a significance level of a = 0.10. Ho:p12 P2 Ha: P1 P2…

A: The question is about hypothesis testing.Given :No. of successes in first sample ( x1 ) = 102No. of…

Q: What is the null and alternative hypothesis when using Pearson's r for hypothesis testing in…

A: In hypothesis testing with Pearson's r, the null hypothesis is typically that there is no…

Q: You wish to test the following claim (H) at a significance level of a = 0.01, Ho: P₁ Ha: P1 P2 P2…

A: Givensignificance level(α)=0.01The null and alternative hypothesis isH0:p1=p2Ha:p1>p2x1=202sample…

Q: For which of the following P-values will the null hypothesis be rejected when performing a test with…

A: significance level(α)=0.05

Q: We determine if we have evidence against the null hypothesis, in favor of the alternative…

A: We have statement gien that:

Q: One personality test available on the World Wide Web has a subsection designed to assess the…

A: We have given that Mean(µ) = 140 Sample mean (x̅) = 134 Standard deviations (s) = 28

Q: As the absolute value of the test statistic becomes larger [i.e. farther from the mean], the p-value…

A: We want to tell the absolute value of the test statistic becomes larger [i.e. farther from the…

Q: Please help me find test statistic and critical value

A:

Q: a)Rejecting the null hypothesis of independence does not mean there is a strong association between…

A: By rejecting the null hypothesis of independence of variables we accept the fact that there is…

Q: a large state University located just a bit North of us. Your null hypothesis is that the overall…

A:

Q: You wish to test the following claim (H) at a significance level of a = 0.10. Ho: P1 = P2 Ha: P₁ P2…

A: given data n1 = 370x1  = 708n2  = 579x2 = 324α = 0.10claim : p1 < p2p^1 = x1n1 = 370708…

Q: A student performs a test of Ho: p = 0.4 versus H₂: P = 0.4 and gets a p-value of 0.03. The student…

A: Here we need to choose from the correct option.When performing hypothesis testing, you compare the…

Q: When the P - value is equal to the alpha level, the null hypothesis should be accepted.

A: P-value is the probability value which is derived from test statistic and it is useful to decide…

Q: Which of the following is the correct way to report the results of a hypothesis test and a measure…

A:

Q: You are conducting a hypothesis test where alternative (research) hypothesis is that mu is greater…

A: The test statistic is independent of significance level.

Q: There is sufficient evidence to warrant rejection of the claim that the first population proportion…

A:

Q: You wish to test the following claim (Ha) at a significance level of a = 0.05. Ho: P₁ ≤ P2 Ha:P₁ >…

A: Given Alpha=0.05 n2=123 n2=104 X1=269 X2=335

Q: Which of following is not true about the null hypothesis? Suggesting that there is an absence of…

A: a) It is true that null hypothesis suggest that there is an absence of effect.

Q: Test the claim that the proportion of people who own cats is smaller than 60% at the 0.025…

A:

Q: A social psychologist is interested in finding out whether people who self-identify as shy are more…

A: The question is about categorical data analysis Given :   To find : 1 ) Exp. frequency for shy /…

Q: You are conducting a hypothesis test on the outcome of an Economics test at a large state University…

A: In statistical inference, we come across the concept of one-tailed and two-tailed. In one-tailed,…

Q: You wish to test the following claim (Ha) at a significance level of a = 0.02. H.:P1 = P2 Ha:P1 < P2…

A: Given  n1=476, X1=344, n2=398, X2=331 Level of significance=0.02 p1cap=X1/n1 and p2cap=X2/n2

Q: Test the claim that the proportion of people who own cats is larger than 80% at the 0.05…

A: The hypothesized proportion of people, who have cats is given to be p0=80%=0.80. Significance level,…

Q: true or false: If the p value of a statistical test is greater than 90% then this would support…

A: p-value: In general, the p-value is also called as probability value. The p-value is the probability…

Q: Identify the appropriate hypothesis test for each of the following research situations labeled (a) -…

A: To identify the appropriate hypothesis test for each of the following research situations : 1) A…

Q: Suppose that we want to know if the population mean of GPA of male and female students (M1 and M2)…

A:

Q: You wish to test the following claim (Ha) at a significance level of a = 0.002. Ho: P₁ = P2 Ha: P₁…

A: Population - 1  n1 = 228 +368 = 596 , x1 = 228  , Sample proportion = p^ = 228/596 = 0.38255…

Q: A health scientist is studying the eating habits of Americans. The scientist believes that the…

A: Using the provided information, the null and alternative hypotheses could be written as:

Q: I need help with trying to rationalize the less portion of the question. Please help me understand…

A: The provided information is as follows:The null and alternative hypotheses are given asThe test…

Q: The University of Illinois decided to conduct a study at their university. The 90% confidence…

A:

Q: Can't Find Test statistic or p-value :(

A: Given Information: First Sample: Sample size n1=799 Sample proportion p^1=0.369 Second Sample:…

Q: Suppose a hypothesis test was performed with a level of significance of 0.05. Then if the null…

A: Level of significance is the type 1 error which is rejecting the true Null Hypothesis.  So here the…

Q: State whether the standardized test statistic z indicates that you should reject the null…

A: The values of the  standardized test statistic z  are given.

Q: test statistic = What is the p-value for this sample? (Round to 3 decimal places.) p-value = The…

A: For sample 1 : We have that the sample size is N1=371N1 = 371 , the number of favorable cases is…

Q: You wish to test the following claim (Ha) at a significance level of a = 0.02. H,:P1 - P2 = 0 H.:P1…

A:

Q: You wish to test the following claim (Ha) at a significance level of a = 0.002. Ho: p > p2 Ha: P₁ P2…

A: Suppose p1, p2 are the proportions of 1st and 2nd populations, respectively.

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.