ezto.mheducation.com/hm.tpx Round all ntermediate calculations to at least 4 dec

Question

ezto.mheducation.com/hm.tpx Round all ntermediate calculations to at least 4 decimal places.) In order to conduct a hypothesis test for the population proportion, you sample 500 observations that resu in 285 successes Use the pvalue approach to conduct the following tests at = 0.10. Use Table 1. Ho p 20.59, HA P0.59 a-1. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign Round your answer to 2 decimal places.) Test statistic a-2. The p-value is: (Round p-value to 4 decimal places.) 0.025 s p-value

Explanation / Answer

A-1)

Here we are givenn, Null hypothesis: P = 0.59 and Alternative hypothesis: P 0.59

Test statistic. The test statistic is a z-score (z) defined by the following equation.

z = (p - P) /

Where = sqrt[ P * ( 1 - P ) / n ], p = 285/500=0.57

= sqrt[ 0.59 * ( 1 - 0.59 ) / 500 ] =0.02199

so Test statistic is z = (p - P) /

=0.57-0.59/0.02199 =-0.909 .................(P-value is 0.1816 ( Excel function =NORMSDIST(-0.909) which is >0.1)

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