Suppose that we have a problem for which the null and alternative hypothesis are given by: H0: μ = 890. H1:μ ≠ 890. Is this a right-tailed test, left-tailed test, or two-tailed test. Find the z value based on a level of significance of α=.09.

You wish to test the following claim (Ha) at a significance level of α=0.002α=0.002.      Ho:μ=68.9Ho:μ=68.9      Ha:μ>68.9Ha:μ>68.9You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=17 with mean M=74.7 and a standard deviation of SD=13.3.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = ______What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = _______The p-value is... A.) less than (or equal to) αα B.) greater than αα This test statistic leads to a decision to... A.) reject the null B.) accept the null C.) fail to reject the null As such, the final conclusion is that... A.) There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 68.9. B.) There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than…

Your null hypothesis is μ = 12 and your alternative hypothesis is μ ≠ 12 for a population with unknown variance. What is the absolute value for the critical test statistic T0 given α = 0.01 and n = 15?

You wish to test the following claim (HaHa) at a significance level of α=0.02.      Ho:μ=88.1      Ha:μ≠88.1You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=74n=74 with mean M=81.2M=81.2 and a standard deviation of SD=16.9SD=16.9.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = 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 mean is not equal to 88.1. There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 88.1. The sample data support the claim that the…

Original Claim: Fewer than 90% of adults have a cell phone. This is a claim about a population proportion so a normal distribution is assumed. The claim undergoes a hypothesis test using a significance level of α = 0.05. The P-value based on sample data is calculated to be 0.0003. State the null hypothesis (H0). State the alternative hypothesis (H1). What kind of test would this be, a two-tailed, a left-tailed, or a right-tailed? Sketch a normal distribution curve and highlight the region of significance (also called critical region or rejection region). On your graph, next highlight the P-value. (The P-value means that there is a 0.03% chance that your results could be random or happen by chance). State a conclusion about the null hypothesis. (Reject H0 or fail to reject H0.) Without using technical terms or symbols, state a final conclusion that addresses the original claim, i.e., fewer than 90% of adults have a cell phone.Now we will test this hypothesis using the critical value…

You wish to test the following claim (HaHa) at a significance level of α=0.01α=0.01.      Ho:μ=88.9Ho:μ=88.9       Ha:μ<88.9Ha:μ<88.9You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=28n=28 with mean ¯x=82.5x¯=82.5 and a standard deviation of s=9.9s=9.9.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 p-value 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 mean is less than 88.9. There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 88.9. The sample data support the claim that the population mean is less than 88.9. There is not sufficient sample evidence to support the claim that…

You wish to test the following claim (HaHa) at a significance level of α=0.002      Ho:μ=81.6      Ha:μ>81.6You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=74n=74 with mean M=82.6M=82.6 and a standard deviation of SD=17.2SD=17.2.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = 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 mean is greater than 81.6. There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 81.6. The sample data support the claim that the…

Find the​ P-value for a​ left-tailed hypothesis test with a test statistic of z=−1.96. Decide whether to reject H0 if the level of significance is α=0.05.

You wish to test the following claim (Ha) at a significance level of a = 0.05. H,:µ1 = µ2 Ha:µ1 7 42 You believe both populations are normally distributed, but you do not know the standard deviations for either. However, you also have no reason to believe the variances of the two populations are not equal. You obtain a sample of size ni = 18 with a mean of M1 deviation of SD1 = 13.3 from the first population. You obtain a sample of size n2 = 10 with a mean of M2 = 71.3 and a standard deviation of SD2 = 7.8 from the second population. = 63.3 and a standard What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? For this calculation, use the conservative under-estimate for the degrees of freedom as mentioned in the textbook. (Report answer accurate to four decimal places.) p-value = The p-value is... less than (or equal to) a greater than a This test statistic leads to a decision to... |reject the…

You wish to test the following claim (HaHa) at a significance level of α=0.02α=0.02.      Ho:μ=55.8Ho:μ=55.8      Ha:μ>55.8Ha:μ>55.8You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=29n=29 with a mean of M=68.4M=68.4 and a standard deviation of SD=18.3SD=18.3.What is the critical value for this test? ***(Report answer accurate to three decimal places.)***critical value = What is the test statistic for this sample? **(Report answer accurate to three decimal places.)** test statistic = The test statistic is... in the critical region not in the critical region 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 mean is greater than 55.8. There is not sufficient evidence to warrant rejection of the claim that the population mean…