Question

In: Statistics and Probability

Suppose that we are to conduct the following hypothesis test: H0:μ=40 Ha:μ<40 Suppose that you also...

Suppose that we are to conduct the following hypothesis test:

H0:μ=40 Ha:μ<40

Suppose that you also know that σ=11, n=109, x¯=38, and take α=0.02. Draw the sampling distribution, and use it to determine each of the following. Use four decimal places.

1. The value of the standardized test statistic:

2. The p-value is C. Your decision for the hypothesis test:

A Reject H0.

B. Fail to Reject Ha.

C. Fail to Reject H0.

D. Reject Ha.

Solutions

Expert Solution

this is the left tailed test .

The null and alternative hypothesis is ,

H0 : = 40

Ha : < 40

Test statistic = z

= ( - ) / / n

= (38 - 40) / 11/ 109

z= -1.90

P(z < -1.90 ) = 0.0287 using ztable

P-value = 0.0287

= 0.02

P-value >

fail to Reject the null hypothesis .

orchestra answered 1 year ago

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