A random sample of 150 observations is selected from a binomial population with unknown probability of success 𝑝. The co

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A random sample of 150 observations is selected from abinomial population with unknown probability of success 𝑝. Thecomputed value of 𝑝̂ is 0.6.(1) Test 𝐻0: 𝑝=0.65 against 𝐻𝑎:𝑝>0.65. Use 𝛼=0.01.
test statistic 𝑧=
critical 𝑧 score=(2) Test 𝐻0:𝑝=0.5against 𝐻𝑎:𝑝<0.5. Use 𝛼=0.01.
test statistic 𝑧=
critical 𝑧 score=(3) Test 𝐻0:𝑝=0.5against 𝐻𝑎:𝑝≠0.5H. Use 𝛼=0.05.
test statistic 𝑧=
positive critical 𝑧 score=
negative critical 𝑧 score=