Cable TV choices: A telecommunications company provided its cable TV subscribers with free access to a new sportschannel for a period of 1 month. It then chose a sample of 385 television viewers and asked them whether they would bewilling to pay an extra $10 per month to continue to access the channel. A total of 29 of the 385 replied that they would bewilling to pay. The marketing director of the company claims that less than 8% of all its subscribers would pay for thechannel. Can you conclude that the director's claim is true? Use the a= 0.05 level of significance and the P-value methodwith the table.Part 1 of 4(a) State the appropriate null and alternate hypotheses.Ho p = 0.08:H₁:p < 0.08This hypothesis test is a left-tailedPart: 1 / 4Part 2 of 4P-value=Part: 2 / 4Part 3 of 4(b) Compute the P-value. Round the answer to at least four decimal places.(c) Determine whether to reject Ho.(Choose one) the null hypothesis Ho.Part: 3 / 4xPart 4 of 4test.O0X☐#0Xр0=05(d) State a conclusion.There (Choose one) enough evidence to conclude that less than 8% of all itssubscribers would pay for the channel.XŚ

The question is about hypothesis testing.Given :Sample no. of television viewers ( n ) = 385No. of viewers among " n " who were willing to pay ( x ) = 29To find :Test the claim that less than 8% of all subscribers would pay for the channel.a )Null and alternative hypothesis :Claim statement : less than 8% of all subscribers would pay for the channel.The word " less than " indicates < sign, so it would go under alternative hypothesis.Hence,Tail of test : Since the alternative hypothesis has < sign, so it is a left tailed test.The formula is given byPlugging values in the above formulaeb )P value approach :Using z table,Splitting z = -0.34 as -0.3 and 0.04. The value corresponding to row value of -0.3 and column value of 0.04 is 0.3669So,c )Decision rule :i ) Reject H0 if ii ) Fail to reject H0 if Given : Here, Hence, fail to reject H0d )Conclusion :There is not enough evidence to conclude that less than 8% of all subscribers would pay for the channel.a )The hypothesis test is a left tailed test.b)P value = 0.3669c ) Fail to reject H0d )Conclusion :There is not enough evidence to conclude that less than 8% of all subscribers would pay for the channel.