A test statistic of z=-1.16 was calculated to test the following hypotheses: Ho:μ the p-value for the hypothesis test and state your conclusion using a=0.01. = 10;Hiμ <10. Show the calculation of
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- A simple random sample of size n = 40 is drawn from a population. The sample mean is found to be 108.6, and the sample standard deviation is found to be 19.6. Is the population mean greater than 100 at the α = 0.01 level of significance? Determine the null and alternative hypotheses. Ho: μ = 100 H₁: μ> 100 Compute the test statistic. to = 2.78 (Round to two decimal places as needed.) Determine the P-value. The P-value is 0.004. (Round to three decimal places as needed.) What is the result of the hypothesis test? the null hypothesis because the P-value is the level of significance. At the α = 0.01 level of significance, the population mean less than 100. different from 100. greater than 100. less than 108.6. different from 108.6. greater than 108.6.Currently patrons at the library speak at an average of 68 decibels. Will this average decline after the installation of a new computer plug in station? After the plug in station was built, the librarian randomly recorded 60 people speaking at the library. Their average decibel level was 63.5 and their standard deviation was 15. What can be concluded at the the αα = 0.05 level of significance?The null and alternative hypotheses would be: H0:H0: Mean = __?__orrect H1:H1: Mean < __?__orrectC The test statistic t= __?__ (please show your answer to 3 decimal places.) The p-value = __?__ (Please show your answer to 4 decimal places.)Express the confidence interval (0.432, 0.52) in the form p±E.
- 60% of students entering four-year colleges receive a degree within six years. Is this percent larger than for students who play intramural sports? 172 of the 249 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of αα = 0.10? For this study, we should use (t-test, z-test) The null and alternative hypotheses would be: Ho: (symbol) (symbol) _____ (please enter a decimal) H1: (symbol) (symbol) _____ (Please enter a decimal) The test statistic (symbol) = _____ (please show your answer to 3 decimal places.) The p-value = _______ (Please show your answer to 4 decimal places.) The p-value is (symbol) αα Based on this, we should the null hypothesis. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly larger than 60% at αα = 0.10, so there is sufficient evidence to conclude that the population proportion of students who…Only 19% of registered voters voted in the last election. Will voter participation increase for the upcoming election? Of the 339 randomly selected registered voters surveyed, 75 of them will vote in the upcoming election. What can be concluded at the αα = 0.05 level of significance? The p-value = (Please show your answer to 4 decimal places.) The p-value is ? ≤ > αα Based on this, we should Select an answer reject accept fail to reject the null hypothesis. Thus, the final conclusion is that ... A) The data suggest the population proportion is not significantly higher than 19% at αα = 0.05, so there is statistically insignificant evidence to conclude that the percentage of registered voters who will vote in the upcoming election will be higher than 19%. B) The data suggest the population proportion is not significantly higher than 19% at αα = 0.05, so there is statistically significant evidence to conclude that the percentage of registered voters who will vote in the…14% of all Americans suffer from sleep apnea. A researcher suspects that a different percentage of those who live in the inner city have sleep apnea. Of the 325 people from the inner city surveyed, 62 of them suffered from sleep apnea. What can be concluded at the level of significance of αα = 0.05? Round numerical answers to 3 decimal places For this study, we should use The null and alternative hypotheses would be: Ho: (please enter a decimal) H1: (Please enter a decimal) The test statistic = (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 the null hypothesis. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly different from 14% at αα = 0.05, so there is not sufficient evidence to conclude that the population proportion of inner city residents who have sleep apnea is different…
- Only 18% of registered voters voted in the last election. Will voter participation decline for the upcoming election? Of the 362 randomly selected registered voters surveyed, 62 of them will vote in the upcoming election. What can be concluded at the αα = 0.05 level of significance? The test statistic ? t z Correct = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.)You are performing a right-tailed test.If α=.01α=.01, find the critical value, to three decimal places.zα =The NAEP considers that a national average of 283 is an acceptable performance. Using α = .05, run a two-tail t-test for one sample to test Ho: µ=283 for the 2019 scores. Report the t-obt, df, and p-values. Would you reject the null hypothesis that the 2019 scores come from a population with average 283? If this is the case, does it come from a population from larger or smaller average?
- A simple random sample of size n=40 is drawn from a population. The sample mean is found to be 107.6, and the sample standard deviation is found to be 20.2. Is the population mean greater than 100 at the α=0.025 level of significance? Determine the null and alternative hypotheses. H0: mu equals 100μ=100 mu less than 100μ<100 mu equals 100μ=100 mu greater than 100μ>100 mu less than 107.6μ<107.6 mu equals 107.6μ=107.6 mu greater than 107.6μ>107.6 H1: mu greater than 100μ>100 mu less than 100μ<100 mu equals 100μ=100 mu greater than 100μ>100 mu less than 107.6μ<107.6 mu equals 107.6μ=107.6 mu greater than 107.6μ>107.6 Compute the test statistic. t 0t0 t 0t0 z 0z0 = (Round to two decimal places as needed.) Determine the P-value. The P-value is . (Round to three decimal places as needed.) What is the result of the hypothesis test? the null hypothesis because the P-value is the level of significance.…A random sample of 144 recent donations at a certain blood bank reveals that 86 were type A blood. Does this suggest that the actual percentage of type A donations differs from 40%, the percentage of the population having type A blood? Carry out a test of the appropriate hypotheses using a significance level of 0.01. In USE SALT State the appropriate null and alternative hypotheses. O H: p = 0.40 H:p 0.40 O Ho: p + 0.40 H: p = 0.40 O H: p = 0.40 H:p + 0.40 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) Z = P-value = State the conclusion in the problem context. O Reject the null hypothesis. There is sufficient evidence to conclude that the percentage of type A donations differs from 40%. O Do not reject the null hypothesis. There is sufficient evidence to conclude that the percentage of type A donations differs from 40%. O Do not reject the null hypothesis. There is not sufficient…
