A student performs a test of H 0 p 0 75 versus H a p 0 75 at the 0 05 significance level and gets a P value of 0 22 The student writes Because the P value is large, we accept H 0 The data provide convincing evidence that the null hypothesis is true Explain what is wrong with this conclusion ...

A student performs a test of H 0 p 075 H a p 075 Level of significance 005 and Pvalue 022 Here pval ...

A student performs a test of H 0 : p = 0.75 versus H a : p

Question:

A student performs a test of H₀: p = 0.75 versus H_a: p < 0.75 at the α = 0.05 significance level and gets a P-value of 0.22. The student writes: “Because the P-value is large, we accept H₀. The data provide convincing evidence that the null hypothesis is true.” Explain what is wrong with this conclusion

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