document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1139306>Question 1139306</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The proportion of cell phone users with 4G contracts last year was p=.62. A Verizon excutive thinks this has increased this year. A random sample of 350 users found 238 users have 4G contracts.<BR>\n" );
document.write( "(a) Idenitify the Null and Alternative Hypotheses.<BR>\n" );
document.write( "(b) Assuming you want a significant level of 0.05, determine the critical value of the hypoth- esis test.<BR>\n" );
document.write( "(c) Calculate the test statistic for the test.<BR>\n" );
document.write( "(d) Do you reject or fail to reject the null hypothesis? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #759882 by </B><A HREF=/tutors/aboutme.mpl?userid=adamsmith9037><B>adamsmith9037(4)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=adamsmith9037><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=759882\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a. null hypothesis (H0): p = 0.62<BR>\n" );
document.write( "   alternative hypothesis (H1): p>0.62<BR>\n" );
document.write( "b. x ~ B(350,0.62)<BR>\n" );
document.write( "let the critical value be k.<BR>\n" );
document.write( "P(X≥k)<0.05<BR>\n" );
document.write( "1-P(X≤k-1)<0.05<BR>\n" );
document.write( "P(X≤k-1)<0.95<BR>\n" );
document.write( "from the binomial cumulative calculator,<BR>\n" );
document.write( "k-1=232<BR>\n" );
document.write( "hence, k=233<BR>\n" );
document.write( "c. critical region 233≤X≤350<BR>\n" );
document.write( "acceptance region 0≤X≤232<BR>\n" );
document.write( "d. since 238 lies in the critical region, the null hypothesis is REJECTED and there has been indeed an increase of cell phone users with 4G contract. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );