A student claims that more than 55% of the mothers with school-age children worked outside the home. The student finds that a sample of 150 mothers from Bronx New York revealed that 96 were working outside the home. At a significance level of = 0.05, is the student correct?

There is sufficient evidence that the students claim is correct.

Step-by-step explanation:

From the information given:

The population proportion P = 55% = 0.55

The sample size n = 150

The sample mean x = 96

The sampling proportion from the sample mean

The null and alternative hypothesis is:

The test statistics can be computed as follows:

Z = 2.22

The P - value = P ( Z > 2.22)

= 1  - P( Z < 2.22)

= 1 - 0.98679

= 0.01321

Since P-value is less than the level of significance ∝ = 0.05

We reject the null hypothesis

Conclusion: There is sufficient evidence that the students claim is correct.

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step-by-step explanation: