What is the chi-square test-statistic for this data? χ2= At the alpha = 0.05 level, what is the conclusion for this test? Fail to reject the null hypothesis Reject the null hypothesis

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Test for the claim that the following categories occur with the following frequencies: pA=0.3pA=0.3;  pB=0.4pB=0.4;  pC=0.2pC=0.2;  pD=0.1pD=0.1Test at the 0.01 significance level. Complete the table. Round all answers to three decimal places.   Category ObservedFrequency ExpectedFrequency Residual A 30     B 44     C 22     D 17       HoHo : pA=0.3pA=0.3;  pB=0.4pB=0.4;  pC=0.2pC=0.2;  pD=0.1pD=0.1H1H1: at least one is different   Original claim = Select an answer H₀ H₁    Enter the critical value, along with the significance level and degrees of freedom χ2χ2(αα,df) below the graph. (Graph is for illustration only. No need to shade.)   X2Χ2(,) =  (Round to three decimal places.)   Test Statistic =  (Round to three decimal places.)p-value=(Round to four decimal places.) Decision: Select an answer Fail to reject the null hypothesis Accept the alternative hypothesis Reject the null hypothesis Accept the null hypothesis  Conclusion: Select an answer There is not…

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I’m having trouble with this practice test question

Gentle Ben is a Morgan horse at a Colorado dude ranch. Over the past 8 weeks, a veterinarian took the following glucose readings from this horse (in mg/100 ml). 94 87 83 104 98 108 84 89 The sample mean is x = 93.4. Let x be a random variable representing glucose readings taken from Gentle Ben. We may assume that x has a normal distribution, and we know from past experience that o = 12.5. The mean glucose level for horses should be u = 85 mg/100 ml.t Do these data indicate that Gentle Ben has an overall average glucose level higher than 85? Use a = 0.05. (a) What is the level of significance? State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? O Ho: H = 85; H,: u + 85; two-tailed O Ho: H = 85; H: µ > 85; right-tailed O Ho: H > 85; H,: µ = 85; right-tailed O Ho: H = 85; H,: µ < 85; left-tailed (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The Student's t, since we assume…

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