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A research study was conducted about gender differences in sexting the sending of sexually explicit messages or images by cell phone A researcher believes that the proportion of girls sexting is less than the proportion of boys sexting and decides to collect data in the spring of 2010 among a random sample of middle and high school students in a large school district in the southern United States The researcher finds 156 out of 2 169 girls are sexting and 183 out of 2 231 boys are sexting Is there enough evidence to support the researcher s belief that the proportion of girls sexting is less than the proportion of boys sexting Test at the 0 01 level of significance Preliminary a Is it safe to assume that ngirls 5 of all girls in middle and high school students in a large school district in the southern United States and nboys 5 of all boys in middle and high school students in a large school district in the southern United States No Yes b Verify np 1 P 10 Round your answer to one decimal place ngirlsp 1 P nboysp 1 P Test the claim a Determine the null and alternative hypotheses Ho Pgirls Pboys Ha Pgirls Pboys b The hypothesis test is Select an answer c Determine the test statistic Round to two decimal places d Find the p value Round to four decimal places p value

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