# Hypothesis Testing Using Normal Distribution

Use the given claim to state a null and an alternative hypothesis. Identify which hypothesis represents the claim.

A. Claim: p < 0.205

B. Claim: p > 0.70

Test the claim about the population mean µ with a z-test using the given sample statistics and level of significance.

A. Claim: µ ? 0: a = 0.05. Statistics x = -0.69, s = 2.62, n = 60

B. Claim: µ = 7450: a = 0.05. Statistics x = 7512, s = 243, n = 57

Find the critical value(s) for the t-test with the indicated sample size n and level of significance.

A. Right-tailed test, n = 8, a = 0.01

B. Two-tailed test, n = 12, a = 0.05

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#### Solution Preview

Z Test hypothesis tests are also explain in charts in Excel attachment .

Use the given claim to state a null and an alternative hypothesis. Identify which hypothesis represents the claim.

Answers

A. Claim: p < 0.205

Alternative hypothesis

B. Claim: p > 0.70

Null hypothesis

Test the claim about the population mean µ with a z-test using the given sample statistics and level of significance a.

Answers

A. Claim: µ ≠ 0: a = 0.05. Statistics x = -0.69, s = 2.62, n = 60

The null hypothesis tested is

H0: µ = 0

The alternative hypothesis is

H1: µ ≠ 0

The test statistic used is . Given that = -0.69, n = 60, σ = 2.62

Therefore, = -2.04

Rejection Criteria: Reject the null hypothesis, if the absolute value of test statistic is greater than the critical value of Z at the 0.05 significance level.

Critical value ...

#### Solution Summary

Hypothesis Testing Using Normal Distribution