Consider the following competing hypotheses and accompanying sample data drawn i

Question

Consider the following competing hypotheses and accompanying sample data drawn independently from normally distributed populations. Use Table 1. H0: 1 2 = 0 HA: 1 2 0 formula38.mml = 75 formula39.mml = 79 1 = 11.10 2 = 1.67 n1 = 20 n2 = 20 a-1. Calculate the value of the test statistic. (Negative values should be indicated by a minus sign. Round all intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) Test statistic a-2. Approximate the p-value. p-value < 0.01 0.01 Picture p-value < 0.025 0.025 Picture p-value < 0.05 0.05 Picture p-value < 0.10 p-value Picture 0.10 a-3. Do you reject the null hypothesis at the 5% level? Yes, since the p-value is less than . No, since the p-value is less than . Yes, since the p-value is more than . No, since the p-value is more than . b. Using the critical value approach, can we reject the null hypothesis at the 5% level? Yes, since the value of the test statistic is less than the critical value of -1.645. Yes, since the value of the test statistic is less than the critical value of -1.96. No, since the value of the test statistic is not less than the critical value of -1.645. No, since the value of the test statistic is not less than the critical value of -1.96.

Explanation / Answer

x1=75 ; x2=79

n1=n2=20

1 = 11.10 2 = 1.67

here std errir =(12/n1 +22/n2 )1/2 =2.51

hence test stat z=(X1-X2)/std errorr =-1.5936

p value =0.1110

No, since the p-value is more than .

No, since the value of the test statistic is not less than the critical value of -1.96

Related Questions

Navigate

• Browse (All)
• Browse C
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.