A group of friends debated whether more men use smartphones than women. They consulted a research study of smartphone use among adults. The results of the survey indicate that of the 981 men randomly sampled, 379 use smartphones. For women, 404 of the 1,311 who were randomly sampled use smartphones. Test at the 5% level of significance. (For subscripts let 1 = men, and 2 = women.) a) state the null hypothesis b) state the alternative hypothesis c)state what your random variable P'1 − P'2 represents. d) State the distribution to use for the test. (Round your answers to four decimal places.) e) What is the test statistic? f) What is the p-value? what does that mean? g) Sketch a picture of this situation. h) Indicate the correct decision, and the reason for this decision i) Explain how you determined which distribution to use.
A group of friends debated whether more men use smartphones than women. They consulted a research study of smartphone use among adults. The results of the survey indicate that of the 981 men randomly sampled, 379 use smartphones. For women, 404 of the 1,311 who were randomly sampled use smartphones. Test at the 5% level of significance. (For subscripts let 1 = men, and 2 = women.)
a) state the null hypothesis
b) state the alternative hypothesis
c)state what your random variable P'1 − P'2 represents.
d) State the distribution to use for the test. (Round your answers to four decimal places.)
e) What is the test statistic?
f) What is the p-value? what does that mean?
g) Sketch a picture of this situation.
h) Indicate the correct decision, and the reason for this decision
i) Explain how you determined which distribution to use.
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