Question

Increasing numbers of businesses are offering child-care benefits for their workers. However, one union claims that less than 15% of firms in the manufacturing sector provide child-care benefits to their workers. A random sample of 350 manufacturing firms is selected and asked if they offer child-care benefits. Of the 350 firms, 55 indicated that they do provide child care. a. What type of variable is the proportion of firms that provide child care? b. What is the population parameter of interest? с. State the null and alternative hypotheses. Ho: Ha: d. Is this a one or two-tailed test? How can you tell? e. What conditions must be met in order to apply the Central Limit Theorem to this test? Verify with appropriate calculations and/or explanations. f. What is the sample proportion? What symbol represents this value? g. What equation do you need to calculate the test statistic? h. Calculate the test statistic using your equation above. i. What is the probability? j. Determine the p-value based on Ha. k. Using a 5% significance level, a = 0.05, should you reject H or fail to reject Ho? 1. Interpret the results and state your conclusion.

          Increasing numbers of businesses are offering child-care benefits for their workers. However,
one union claims that less than 15% of firms in the manufacturing sector provide child-care
benefits to their workers. A random sample of 350 manufacturing firms is selected and asked if
they offer child-care benefits. Of the 350 firms, 55 indicated that they do provide child care.
a.
What type of variable is the proportion of firms that provide child care?
b. What is the population parameter of interest?
с.
State the null and alternative hypotheses.
Ho:
Ha:
d. Is this a one or two-tailed test? How can you tell?
e. What conditions must be met in order to apply the Central Limit Theorem to this test?
Verify with appropriate calculations and/or explanations.
f. What is the sample proportion? What symbol represents this value?
g. What equation do you need to calculate the test statistic?
h. Calculate the test statistic using your equation above.
i. What is the probability?
j. Determine the p-value based on Ha.
k. Using a 5% significance level, a = 0.05, should you reject H or fail to reject Ho?
1. Interpret the results and state your conclusion.

increasing numbers of businesses are offering child care benefits for their workers however one union claims that less than 15 of firms in the manufacturing sector provide child care benefit 67692

Added by Teresa S.

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