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the claim is the proportion of peas with yellow pods is equal to 0.25 the sample statistics from one experiment includes 460 peas with 130 of them having yellow pods find the value of the test statistic

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Test statistic – calculated value

n = 460

x = 130 yellow

 

Null Hypothesis: P = 0.25 claim

Alternative Hypothesis: P ≠ 0.25

 

Phat = x/ n = 130 / 460

Phat = 0.2826

 

Z = Phat – P / √ Pq /n

Z = 0.2826 – 0.250 / √ (0.25) (0.75) / 460

= 0.0326 / √ 0.1875 / 460

= 0.0326 / √ 0.0004

= 0.0326 / 0.02

= 1.63 is the test statistic

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