You wish to test the following claim (Ha) at a significance level of α=0.01α       Ho:p=0.25       Ha:p≠0.25 You obtain a sample of size n=478 in which there are 129 successful observations. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution. What is the standardized test statistic for this sample? (Report answer accurate to two decimal places.) Standardized 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) α greater than α This test statistic leads to a decision to: choose one of three possible answers. 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 not equal to 0.25. There is not sufficient evidence to warrant rejection of the claim that the population proportion is not equal to 0.25. The sample data support the claim that the population proportion is not equal to 0.25. There is not sufficient sample evidence to support the claim that the population proportion is not equal to 0.25.

You wish to test the following claim  (Ha) at a significance level of a=0.02. H0: u=83.9 Ha:u<83.9 You believe the population is normally distributed but you do not know the standard deviation.  You obtain a sample of size n=119 with the meanM=79.4 and a standard deviation of SD=12.9. What is the test statistic foe this sample?  What is the P value for this sample? The p value is less than or greater than a? This test statistic leads to a decision to: reject the null, accept the null, or fail to reject the null?

You wish to test the following claim (HaHa) at a significance level of α=0.001.      Ho:μ=90.9      Ha:μ>90.9You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=583 with mean M=91.7 and a standard deviation of SD=10.1.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 90.9. There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 90.9. The sample data support the claim that the population mean is…

A study was conducted to determine whether magnets were effective in treating pain. The values represent measurements of pain using the visual analog scale. Assume that both samples are independent simple random samples from populations having normal distributions. Use a 0.05 significance level to test the claim that those given a sham treatment have pain reductions that vary more than the pain reductions for those treated with magnets. What are the null and alternative hypotheses? OA. Ho: 002 H₁:0² = 0²/2 OC. H₂:0²=0²2 H₁:0² > 0²/2 Identify the test statistic. F = (Round to two decimal places as needed.) Use technology to identify the P-value. The P-value is (Round to three decimal places as needed.) What is the conclusion for this hypothesis test? C OB. H₁: 0 = 0² H₁:0² +03 OD. H₂:0²=0²2 H₁:0² <0²/ O A. Reject Ho. There is sufficient evidence to support the claim that those given a sham treatment have pain reductions that vary more than those treated with magnets. O B. Fail to reject…