Question

Question Help * For the given data, (a) find the test statistic (b) find the standardized test statitic, ( should reject or tall to reject the null hypothesis. The samples are random and independent. the rejection region, and (d) decide whether you c) decide whether the standardized test statistic is in nh"P2, α:001 Sample statistics: x.-1225, n.-45, x2-1195. and n2-65 Population stabsics o, so ando, 100 (a) The test statistic for μ1_P2 b) The standardized test statistic ftor p1-P2 (Round to two decimal places as needed) (c) Is the standardized test statistic in the rejection region? O Yes (d) Should you reject or tail to reject the null hypothesis? 'I | Ho At the 1% significance level, there is 厂 "evidence to support the claim. Reject Fail to reject

Answer 1

a) The test statistic for 1 - 2 is

b)

C)

Critical value:

Z = Z_0.01 = -2.33

Here, Test statistic > Critical value, i.e. 1.74 > -2.33, That is Fail to Reject Ho at 1% level of significance.

ANSWER: B

No, the standardised test statistic is Not in the Rejection region as Test statistic is greater than critical value.

d)

Ho: 1 2; Ha: 1 < 2 Fail to Reject Ho. At the 1% significance level, there is Not sufficient evidence to support the claim.