A random sample of n = 1,400 observations from a binomial population produced x = 388. (a) If your research hypothesis is that p differs from 0.3, what hypotheses should you test? Ho: p < 0.3 versus H₂: p > 0.3 Ho: P = 0.3 versus H₂: p = 0.3 Ho: P = 0.3 versus H₂: p < 0.3 Ho: P = 0.3 versus H₂: p > 0.3 O Ho: P = 0.3 versus H₂: p = 0.3 (b) Calculate the test statistic and its p-value. (Round your test statistic to two decimal places and your p-value to four decimal places.) Z= p-value = Use the p-value to evaluate the statistical significance of the results at the 1% level. Ho is rejected since the p-value is not less than 0.01. O Ho is rejected since the p-value is less than 0.01. O Ho is not rejected since the p-value is not less than 0.01. Ho is not rejected since the p-value is less than 0.01. (c) Do the data provide sufficient evidence to indicate that p is different from 0.3? O Yes, the data provide sufficient evidence to indicate that p is different from 0.3. O No, the data do not provide sufficient evidence to indicate that p is different from 0.3.

Q10 = In a one-tailed hypothesis test with a sample size of 300, the test statistic is determined to be Z = 1.53 Assuming population standard deviation o is known , The p-value for this test is: Q11 = In a two-tailed hypothesis test with a sample size of 300, the test statistic is determined to be Z = 2.21 . Assuming population standard deviation is known, The p-value for this test is

Under what circumstances is a t statistic used instead of a z-score for a hypothesis test?     Justin wants to know whether a commonly prescribed drug does improve the attention span of students with attention deficit disorder (ADD). He knows that the mean attention span for students with ADD who are not taking the drug is 2.3 minutes long. His sample of 12 students taking the drug yielded a mean of 4.6 minutes. Justin can find no information regarding σx , so he calculated s2x =1.96. Determine the critical region using a one-tailed test with alpha = .05. Conduct the hypothesis test (Do the math and compare the t-critical and t-obtained values). State your conclusions in terms of H0 (Should you reject the H0 or fail to reject/accept the H0). Based on your analysis, is there a relationship between the drug and attention span?

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.

You are conducting a multinomial hypothesis test (a = 0.05) for the claim that all 5 categories are equally likely to be selected. Complete the table. Observed Expected Frequency Frequency Category A 22 B 9. 19 D 5 E 21 Report all answers accurate to three decimal places. But retain unrounded numbers for future calculations. What is the chi-square test-statistic for this data? (Repo and remember to use the unrounded Pearson residuals in your calculations.) swer accurate to three decimal places, What are the degrees of freedom for this test? d.f.= What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value =

Only 12% of registered voters voted in the last election. Will voter participation increase for the upcoming election? Of the 390 randomly selected registered voters surveyed, 62 of them will vote in the upcoming election. What can be concluded at the αα = 0.01 level of significance? For this study, we should use Select an answer t-test for a population mean z-test for a population proportion  The null and alternative hypotheses would be:       H0:H0:  ? p μ  Select an answer > < ≠ =   (please enter a decimal)     H1:H1:  ? p μ  Select an answer ≠ < = >   (Please enter a decimal) The test statistic ? z t  =  (please show your answer to 3 decimal places.) The p-value =  (Please show your answer to 4 decimal places.) The p-value is ? ≤ >  αα Based on this, we should Select an answer accept reject fail to reject  the null hypothesis. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly higher than 12% at αα = 0.01, so…

4.44 Nearsighted: It is believed that nearsightedness affects about 8% of all children. In a random sample of 194 children, 21 are nearsighted. Conduct a hypothesis test using the 5% significance level a) Construct hypotheses appropriate for the following question: Do these data provide evidence that the 8% value is inaccurate! OH P-0.08 H:p> 0.08 OH₂:p-0.08 Hap<0.08 Ho:p=0.08 HA:P 0.08 b) What proportion of children in this sample are nearsighted? Round your answer to 4 decimal places. c) Given that the standard error of the sample proportion is 0.0195 and the point estimate follows a nearly normal distribution, calculate the test statistic (use the 2-statistic). Round your answer to 2 decimal places. d) What is the p-value for this hypothesis test? Round your answer to 4 decimal places. P.- e) What is the decision for this hypothesis test? Osince pa we reject the null hypothesis and accept the alternative Osince pa we accept the null hypothesis Osince pa we do not have enough…

QUESTION 5 You're running a one-sample t-test comparing your sample (M = 27.9, SD = 3.8) of 28 observations with a population that has p-36.7 at a = 0.05. Calculatet obs %3D your confidence interval: to and your decision regarding the null hypothesis (reject/fail to reject): QUESTION 6 You're running a one-sample t-test comparing your sample (M 22.2, SD = 3.5) of 15 observations with a population that has u = 22.5 at a = 0.001. Calculate t_obs your confidence interval: to and your decision regarding the null hypothesis (reject/fail to reject):

You wish to test the following claim (HaHa) at a significance level of α=0.001α=0.001.      Ho:p=0.35Ho:p=0.35      Ha:p>0.35Ha:p>0.35You obtain a sample of size n=403n=403 in which there are 154 successful observations. For this test, you should use the (cumulative) binomial distribution to obtain an exact p-value. (Do not use the normal distribution as an approximation for the binomial distribution.)The p-value for this test is (assuming HoHo is true) the probability of observing... at most 154 successful observations at least 154 successful observations What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the population proportion is greater than 0.35.…